APPENDIX C: STATISTICAL ANALYSIS
Appendix C 

118 

Results for: POTW A 

MTB > %ktau c2 c3 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Sample Date2, Inf TR Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Sample Date2 36 0 38354 53.6 322 37817 38067 38358 38628 

Inf TR Hg (ng/L 35 1 249.4 85.5 505.8 61.1 85.5 130.0 229.0 

Variable Maximum 

Sample Date2 38895 

Inf TR Hg (ng/L 3080.0 

 

Data Display 

S_TAU -27.0000 

VAR_S 4956.33 

Z_S -0.369312 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A -0.0453782 0.711895 

 2 KENDALL'S TAU_B -0.0454546 0.711895 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 835.571 -0.0993377 -0.0184049 0.0767196 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 
Appendix C 

119 

Sample Date2

Inf TR Hg (ng/L)

37800 38000 38200 38400 38600 38800 39000

3500

3000

2500

2000

1500

1000

500

0

SLR

THEIL

LINE

.

..

DATA

Inf TR Hg (ng/L) VS Sample Date2

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c2 c4 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Sample Date2, Inf TSS (mg/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Sample Date2 36 0 38354 53.6 322 37817 38067 38358 38628 

Inf TSS (mg/L) 36 0 183.6 15.9 95.2 71.0 135.5 159.0 217.8 

Variable Maximum 

Sample Date2 38895 

Inf TSS (mg/L) 641.0 

 

Data Display 

S_TAU -76.0000 

VAR_S 5385.33 

Z_S -1.02201 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A -0.120635 0.306776 

 2 KENDALL'S TAU_B -0.121020 0.306776 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 
Appendix C 

120 

 1 1262.76 -0.101010 -0.0287757 0.0291480 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Sample Date2

Inf TSS (mg/L)

37800 38000 38200 38400 38600 38800 39000

700

600

500

400

300

200

100

0

SLR

THEIL

LINE

.

..

DATA

Inf TSS (mg/L) VS Sample Date2

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c2 c5 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Sample Date2, Eff TR Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median 

Sample Date2 36 0 38354 53.6 322 37817 38067 38358 

Eff TR Hg (ng/L) 33 3 10.582 0.638 3.666 4.900 7.800 9.500 

Variable Q3 Maximum 

Sample Date2 38628 38895 

Eff TR Hg (ng/L) 13.100 19.300 

 

Data Display 

S_TAU -162.000 

VAR_S 4163.33 

Z_S -2.49520 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A -0.306818 0.0125886 

 2 KENDALL'S TAU_B -0.307401 0.0125886 
Appendix C 

121 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 174.763 -0.0073077 -0.0043142 -0.0013142 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Sample Date2

Eff TR Hg (ng/L)

37800 38000 38200 38400 38600 38800 39000

20.0

17.5

15.0

12.5

10.0

7.5

5.0

SLR

THEIL

LINE

.

..

DATA

Eff TR Hg (ng/L) VS Sample Date2

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c2 c6 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Sample Date2, Eff Dissolved Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Sample Date2 36 0 38354 53.6 322 37817 38067 38358 38628 

Eff Dissolved Hg 9 27 2.133 0.403 1.209 1.000 1.150 2.000 2.750 

Variable Maximum 

Sample Date2 38895 

Eff Dissolved Hg 4.800 

 

Data Display 

S_TAU -16.0000 

VAR_S 92.0000 

Z_S -1.56386 

 
Appendix C 

122 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A -0.444444 0.117851 

 2 KENDALL'S TAU_B -0.444444 0.117851 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 85.4637 -0.0036723 -0.0021681 0.0003017 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Sample Date2

Eff Dissolved Hg (ng/L)

37800 38000 38200 38400 38600 38800 39000

5

4

3

2

1

SLR

THEIL

LINE

.

..

DATA

Eff Dissolved Hg (ng/L) VS Sample Date2

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c2 c7 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Sample Date2, Eff TSS (mg/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Sample Date2 36 0 38354 53.6 322 37817 38067 38358 38628 

Eff TSS (mg/L) 36 0 15.69 1.53 9.21 5.00 10.00 14.00 17.00 

Variable Maximum 

Sample Date2 38895 

Eff TSS (mg/L) 45.00 

 

Data Display 
Appendix C 

123 

S_TAU 127.000 

VAR_S 5346.33 

Z_S 1.72323 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.201587 0.0848475 

 2 KENDALL'S TAU_B 0.206394 0.0848475 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 -195.841 0 0.0054707 0.0108460 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Sample Date2

Eff TSS (mg/L)

37800 38000 38200 38400 38600 38800 39000

50

40

30

20

10

0

SLR

THEIL

LINE

.

..

DATA

Eff TSS (mg/L) VS Sample Date2

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c2 c8 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Sample Date2, Biosolids Hg (mg/kg) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median 

Sample Date2 36 0 38354 53.6 322 37817 38067 38358 

Biosolids Hg (mg 35 0 1.1567 0.0925 0.5472 0.5190 0.8280 1.0000 

Variable Q3 Maximum 
Appendix C 

124 

Sample Date2 38628 38895 

Biosolids Hg (mg 1.1680 3.1000 

* ERROR * Specify columns of equal length. 

* ERROR * Macro exiting... 

MTB > %ktau c4 c3 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Inf TSS (mg/L), Inf TR Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Inf TSS (mg/L) 36 0 183.6 15.9 95.2 71.0 135.5 159.0 217.8 

Inf TR Hg (ng/L 35 1 249.4 85.5 505.8 61.1 85.5 130.0 229.0 

Variable Maximum 

Inf TSS (mg/L) 641.0 

Inf TR Hg (ng/L 3080.0 

 

Data Display 

S_TAU 125.000 

VAR_S 4951.68 

Z_S 1.76216 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.210084 0.0780422 

 2 KENDALL'S TAU_B 0.211149 0.0780422 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 74.9882 -0.03 0.350394 0.9 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 
Appendix C 

125 

Inf TSS (mg/L)

Inf TR Hg (ng/L)

0 100 200 300 400 500 600 700

3500

3000

2500

2000

1500

1000

500

0

SLR

THEIL

LINE

.

..

DATA

Inf TR Hg (ng/L) VS Inf TSS (mg/L)

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c3 c5 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Inf TR Hg (ng/L), Eff TR Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median 

Inf TR Hg (ng/L 35 1 249.4 85.5 505.8 61.1 85.5 130.0 

Eff TR Hg (ng/L) 33 3 10.582 0.638 3.666 4.900 7.800 9.500 

Variable Q3 Maximum 

Inf TR Hg (ng/L 229.0 3080.0 

Eff TR Hg (ng/L) 13.100 19.300 

 

Data Display 

S_TAU 136.000 

VAR_S 3798.67 

Z_S 2.19037 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.274194 0.0284973 

 2 KENDALL'S TAU_B 0.275304 0.0284973 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 
Appendix C 

126 

 1 8.80372 0.0012492 0.0074627 0.0235131 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Inf TR Hg (ng/L)

Eff TR Hg (ng/L)

0 500 1000 1500 2000 2500 3000

35

30

25

20

15

10

5

SLR

THEIL

LINE

.

..

DATA

Eff TR Hg (ng/L) VS Inf TR Hg (ng/L)

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c3 c6 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Inf TR Hg (ng/L), Eff Dissolved Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Inf TR Hg (ng/L 35 1 249.4 85.5 505.8 61.1 85.5 130.0 229.0 

Eff Dissolved Hg 9 27 2.133 0.403 1.209 1.000 1.150 2.000 2.750 

Variable Maximum 

Inf TR Hg (ng/L 3080.0 

Eff Dissolved Hg 4.800 

 

Data Display 

S_TAU 10.0000 

VAR_S 65.3333 

Z_S 1.11346 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.357143 0.265510 

 2 KENDALL'S TAU_B 0.357143 0.265510 
Appendix C 

127 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 -0.0048904 -0.0095238 0.0139175 0.0336283 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Inf TR Hg (ng/L)

Eff Dissolved Hg (ng/L)

50 100 150 200 250

5

4

3

2

1

SLR

THEIL

LINE

.

..

DATA

Eff Dissolved Hg (ng/L) VS Inf TR Hg (ng/L)

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c5 c6 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Eff TR Hg (ng/L), Eff Dissolved Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median 

Eff TR Hg (ng/L) 33 3 10.582 0.638 3.666 4.900 7.800 9.500 

Eff Dissolved Hg 9 27 2.133 0.403 1.209 1.000 1.150 2.000 

Variable Q3 Maximum 

Eff TR Hg (ng/L) 13.100 19.300 

Eff Dissolved Hg 2.750 4.800 

 

Data Display 

S_TAU 12.0000 

VAR_S 65.3333 

Z_S 1.36090 

 
Appendix C 

128 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.428571 0.173546 

 2 KENDALL'S TAU_B 0.428571 0.173546 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 0.617145 -0.0740741 0.179740 0.625 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Eff TR Hg (ng/L)

Eff Dissolved Hg (ng/L)

5.0 7.5 10.0 12.5 15.0

5

4

3

2

1

SLR

THEIL

LINE

.

..

DATA

Eff Dissolved Hg (ng/L) VS Eff TR Hg (ng/L)

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c7 c5 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Eff TSS (mg/L), Eff TR Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median 

Eff TSS (mg/L) 36 0 15.69 1.53 9.21 5.00 10.00 14.00 

Eff TR Hg (ng/L) 33 3 10.582 0.638 3.666 4.900 7.800 9.500 

Variable Q3 Maximum 

Eff TSS (mg/L) 17.00 45.00 

Eff TR Hg (ng/L) 13.100 19.300 

 

Data Display 
Appendix C 

129 

S_TAU 128.000 

VAR_S 4133.42 

Z_S 1.97537 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.242424 0.0482258 

 2 KENDALL'S TAU_B 0.248109 0.0482258 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 7 0 0.178571 0.3 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Eff TSS (mg/L)

Eff TR Hg (ng/L)

0 10 20 30 40 50

20.0

17.5

15.0

12.5

10.0

7.5

5.0

SLR

THEIL

LINE

.

..

DATA

Eff TR Hg (ng/L) VS Eff TSS (mg/L)

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c7 c6 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Eff TSS (mg/L), Eff Dissolved Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Eff TSS (mg/L) 36 0 15.69 1.53 9.21 5.00 10.00 14.00 17.00 

Eff Dissolved Hg 9 27 2.133 0.403 1.209 1.000 1.150 2.000 2.750 

Variable Maximum 
Appendix C 

130 

Eff TSS (mg/L) 45.00 

Eff Dissolved Hg 4.800 

 

Data Display 

S_TAU -12.0000 

VAR_S 87.3333 

Z_S -1.17707 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A -0.333333 0.239167 

 2 KENDALL'S TAU_B -0.353553 0.239167 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 2.88 -0.52 -0.08 0.0428571 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Eff TSS (mg/L)

Eff Dissolved Hg (ng/L)

8 9 10 11 12 13 14 15

5

4

3

2

1

SLR

THEIL

LINE

.

..

DATA

Eff Dissolved Hg (ng/L) VS Eff TSS (mg/L)

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c2 c8 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Sample Date2, Biosolids Hg (mg/kg) 
Appendix C 

131 

Variable N N* Mean SE Mean StDev Minimum Q1 Median 

Sample Date2 35 0 38338 52.8 313 37817 38056 38336 

Biosolids Hg (mg 35 0 1.1567 0.0925 0.5472 0.5190 0.8280 1.0000 

Variable Q3 Maximum 

Sample Date2 38623 38860 

Biosolids Hg (mg 1.1680 3.1000 

 

Data Display 

S_TAU -120.000 

VAR_S 4948.67 

Z_S -1.69162 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A -0.201681 0.0907184 

 2 KENDALL'S TAU_B -0.202878 0.0907184 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 11.5455 -0.0006657 -0.0002751 0.0000229 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Sample Date2

Biosolids Hg (mg/kg)

38000 38250 38500 38750 39000

3.0

2.5

2.0

1.5

1.0

0.5

SLR

THEIL

LINE

.

..

DATA

Biosolids Hg (mg/kg) VS Sample Date2

SEN-THEIL-KENDALL LINE

SLR LINE
Appendix C 

132 

MTB > %ktau c4 c5 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Inf TSS (mg/L), Eff TR Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median 

Inf TSS (mg/L) 36 0 183.6 15.9 95.2 71.0 135.5 159.0 

Eff TR Hg (ng/L) 33 3 10.582 0.638 3.666 4.900 7.800 9.500 

Variable Q3 Maximum 

Inf TSS (mg/L) 217.8 641.0 

Eff TR Hg (ng/L) 13.100 19.300 

 

Data Display 

S_TAU 58.0000 

VAR_S 4158.68 

Z_S 0.883888 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.109848 0.376757 

 2 KENDALL'S TAU_B 0.110476 0.376757 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 8.04862 -0.016 0.0092444 0.0256410 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 
Appendix C 

133 

Inf TSS (mg/L)

Eff TR Hg (ng/L)

0 100 200 300 400 500 600 700

20.0

17.5

15.0

12.5

10.0

7.5

5.0

SLR

THEIL

LINE

.

..

DATA

Eff TR Hg (ng/L) VS Inf TSS (mg/L)

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c4 c6 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Inf TSS (mg/L), Eff Dissolved Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Inf TSS (mg/L) 36 0 183.6 15.9 95.2 71.0 135.5 159.0 217.8 

Eff Dissolved Hg 9 27 2.133 0.403 1.209 1.000 1.150 2.000 2.750 

Variable Maximum 

Inf TSS (mg/L) 641.0 

Eff Dissolved Hg 4.800 

 

Data Display 

S_TAU 2.00000 

VAR_S 90.0000 

Z_S 0.105409 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.0555556 0.916051 

 2 KENDALL'S TAU_B 0.0571662 0.916051 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 
Appendix C 

134 

 1 1.85213 -0.06 0.0010638 0.0285714 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Inf TSS (mg/L)

Eff Dissolved Hg (ng/L)

50 100 150 200 250

5

4

3

2

1

SLR

THEIL

LINE

.

..

DATA

Eff Dissolved Hg (ng/L) VS Inf TSS (mg/L)

SEN-THEIL-KENDALL LINE

SLR LINE
Appendix C 

135 

Results for: POTW B 

MTB > %ktau c2 c3 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Sample Date2, Inf TR Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Sample Date2 36 0 38342 53.5 321 37811 38058 38343 38625 

Inf TR Hg (ng/L 36 0 127.7 19.3 115.7 15.9 48.1 80.0 211.8 

Variable Maximum 

Sample Date2 38875 

Inf TR Hg (ng/L 448.0 

 

Data Display 

S_TAU 66.0000 

VAR_S 5390.00 

Z_S 0.885358 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.104762 0.375964 

 2 KENDALL'S TAU_B 0.104762 0.375964 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 -1032.57 -0.0456522 0.0290149 0.111012 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 
Appendix C 

136 

Sample Date2

Inf TR Hg (ng/L)

37800 38000 38200 38400 38600 38800 39000

500

400

300

200

100

0

SLR

THEIL

LINE

.

..

DATA

Inf TR Hg (ng/L) VS Sample Date2

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c2 c4 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Sample Date2, Inf TSS (mg/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Sample Date2 36 0 38342 53.5 321 37811 38058 38343 38625 

Inf TSS (mg/L) 36 0 124.7 12.3 73.7 55.0 88.0 111.0 139.0 

Variable Maximum 

Sample Date2 38875 

Inf TSS (mg/L) 503.0 

 

Data Display 

S_TAU -58.0000 

VAR_S 5385.33 

Z_S -0.776727 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A -0.0920635 0.437320 

 2 KENDALL'S TAU_B -0.0923572 0.437320 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 
Appendix C 

137 

 1 723.563 -0.0601504 -0.0159759 0.0303797 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Sample Date2

Inf TSS (mg/L)

37800 38000 38200 38400 38600 38800 39000

500

400

300

200

100

0

SLR

THEIL

LINE

.

..

DATA

Inf TSS (mg/L) VS Sample Date2

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c2 c5 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Sample Date2, Eff TR Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Sample Date2 36 0 38342 53.5 321 37811 38058 38343 38625 

Eff TR Hg (ng/L) 36 0 2.931 0.193 1.157 1.400 2.143 2.665 3.438 

Variable Maximum 

Sample Date2 38875 

Eff TR Hg (ng/L) 7.110 

 

Data Display 

S_TAU -25.0000 

VAR_S 5387.00 

Z_S -0.326992 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A -0.0396825 0.743674 

 2 KENDALL'S TAU_B -0.0397774 0.743674 
Appendix C 

138 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 8.96325 -0.0012052 -0.0001643 0.0009194 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Sample Date2

Eff TR Hg (ng/L)

37800 38000 38200 38400 38600 38800 39000

7

6

5

4

3

2

1

SLR

THEIL

LINE

.

..

DATA

Eff TR Hg (ng/L) VS Sample Date2

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c2 c6 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Sample Date2, Eff Dissolved Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Sample Date2 36 0 38342 53.5 321 37811 38058 38343 38625 

Eff Dissolved Hg 36 0 3.31 2.31 13.83 0.52 0.93 0.99 1.07 

Variable Maximum 

Sample Date2 38875 

Eff Dissolved Hg 84.00 

 

Data Display 

S_TAU 89.0000 

VAR_S 5379.67 

Z_S 1.19979 

 
Appendix C 

139 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.141270 0.230221 

 2 KENDALL'S TAU_B 0.142290 0.230221 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 -1.54326 -0.0000681 0.0000661 0.0002458 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Sample Date2

Eff Dissolved Hg (ng/L)

37800 38000 38200 38400 38600 38800 39000

90

80

70

60

50

40

30

20

10

0

SLR

THEIL

LINE

.

..

DATA

Eff Dissolved Hg (ng/L) VS Sample Date2

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c2 c7 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Sample Date2, Eff Turbidity (NTU) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Sample Date2 36 0 38342 53.5 321 37811 38058 38343 38625 

Eff Turbidity (N 33 3 2.883 0.400 2.297 0.910 1.475 2.140 2.980 

Variable Maximum 

Sample Date2 38875 

Eff Turbidity (N 11.100 

 

Data Display 
Appendix C 

140 

S_TAU -127.000 

VAR_S 4162.33 

Z_S -1.95300 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A -0.240530 0.0508197 

 2 KENDALL'S TAU_B -0.241217 0.0508197 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 55.9742 -0.0028571 -0.0014025 0 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Sample Date2

Eff Turbidity (NTU)

38000 38200 38400 38600 38800 39000

12

10

8

6

4

2

0

SLR

THEIL

LINE

.

..

DATA

Eff Turbidity (NTU) VS Sample Date2

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c2 c8 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Sample Date2, Eff TSS (mg/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Sample Date2 36 0 38342 53.5 321 37811 38058 38343 38625 

Eff TSS (mg/L) 36 0 3.450 0.398 2.389 1.000 2.000 3.000 4.000 

Variable Maximum 
Appendix C 

141 

Sample Date2 38875 

Eff TSS (mg/L) 12.000 

 

Data Display 

S_TAU -12.0000 

VAR_S 5249.33 

Z_S -0.151824 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A -0.0190476 0.879326 

 2 KENDALL'S TAU_B -0.0202031 0.879326 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 3 -0.0017857 0 0.0014760 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Sample Date2

Eff TSS (mg/L)

37800 38000 38200 38400 38600 38800 39000

12

10

8

6

4

2

0

SLR

THEIL

LINE

.

..

DATA

Eff TSS (mg/L) VS Sample Date2

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c4 c3 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Inf TSS (mg/L), Inf TR Hg (ng/L) 
Appendix C 

142 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Inf TSS (mg/L) 36 0 124.7 12.3 73.7 55.0 88.0 111.0 139.0 

Inf TR Hg (ng/L 36 0 127.7 19.3 115.7 15.9 48.1 80.0 211.8 

Variable Maximum 

Inf TSS (mg/L) 503.0 

Inf TR Hg (ng/L 448.0 

 

Data Display 

S_TAU 164.000 

VAR_S 5385.33 

Z_S 2.22117 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.260317 0.0263396 

 2 KENDALL'S TAU_B 0.261148 0.0263396 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 30.2478 0.0512821 0.447768 1.12609 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Inf TSS (mg/L)

Inf TR Hg (ng/L)

0 100 200 300 400 500

500

400

300

200

100

0

SLR

THEIL

LINE

.

..

DATA

Inf TR Hg (ng/L) VS Inf TSS (mg/L)

SEN-THEIL-KENDALL LINE

SLR LINE
Appendix C 

143 

MTB > %ktau c4 c5 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Inf TSS (mg/L), Eff TR Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Inf TSS (mg/L) 36 0 124.7 12.3 73.7 55.0 88.0 111.0 139.0 

Eff TR Hg (ng/L) 36 0 2.931 0.193 1.157 1.400 2.143 2.665 3.438 

Variable Maximum 

Inf TSS (mg/L) 503.0 

Eff TR Hg (ng/L) 7.110 

 

Data Display 

S_TAU 99.0000 

VAR_S 5382.35 

Z_S 1.33580 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.157143 0.181616 

 2 KENDALL'S TAU_B 0.158021 0.181616 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 2.21105 -0.0012727 0.0040897 0.0158491 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 
Appendix C 

144 

Inf TSS (mg/L)

Eff TR Hg (ng/L)

0 100 200 300 400 500

7

6

5

4

3

2

1

SLR

THEIL

LINE

.

..

DATA

Eff TR Hg (ng/L) VS Inf TSS (mg/L)

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c3 c5 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Inf TR Hg (ng/L), Eff TR Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Inf TR Hg (ng/L 36 0 127.7 19.3 115.7 15.9 48.1 80.0 211.8 

Eff TR Hg (ng/L) 36 0 2.931 0.193 1.157 1.400 2.143 2.665 3.438 

Variable Maximum 

Inf TR Hg (ng/L 448.0 

Eff TR Hg (ng/L) 7.110 

 

Data Display 

S_TAU 13.0000 

VAR_S 5387.00 

Z_S 0.163496 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.0206349 0.870128 

 2 KENDALL'S TAU_B 0.0206842 0.870128 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 
Appendix C 

145 

 1 2.64008 -0.0025483 0.0003117 0.0037121 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Inf TR Hg (ng/L)

Eff TR Hg (ng/L)

0 100 200 300 400 500

7

6

5

4

3

2

1

SLR

THEIL

LINE

.

..

DATA

Eff TR Hg (ng/L) VS Inf TR Hg (ng/L)

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c3 c6 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Inf TR Hg (ng/L), Eff Dissolved Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Inf TR Hg (ng/L 36 0 127.7 19.3 115.7 15.9 48.1 80.0 211.8 

Eff Dissolved Hg 36 0 3.31 2.31 13.83 0.52 0.93 0.99 1.07 

Variable Maximum 

Inf TR Hg (ng/L 448.0 

Eff Dissolved Hg 84.00 

 

Data Display 

S_TAU -39.0000 

VAR_S 5379.67 

Z_S -0.518091 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A -0.0619048 0.604395 

 2 KENDALL'S TAU_B -0.0623517 0.604395 
Appendix C 

146 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 0.998170 -0.0005587 -0.0001022 0.0004415 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Inf TR Hg (ng/L)

Eff Dissolved Hg (ng/L)

0 100 200 300 400 500

90

80

70

60

50

40

30

20

10

0

SLR

THEIL

LINE

.

..

DATA

Eff Dissolved Hg (ng/L) VS Inf TR Hg (ng/L)

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c5 c6 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Eff TR Hg (ng/L), Eff Dissolved Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Eff TR Hg (ng/L) 36 0 2.931 0.193 1.157 1.400 2.143 2.665 3.438 

Eff Dissolved Hg 36 0 3.31 2.31 13.83 0.52 0.93 0.99 1.07 

Variable Maximum 

Eff TR Hg (ng/L) 7.110 

Eff Dissolved Hg 84.00 

 

Data Display 

S_TAU 207.000 

VAR_S 5376.71 

Z_S 2.80937 

 
Appendix C 

147 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.328571 0.0049639 

 2 KENDALL'S TAU_B 0.331735 0.0049639 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 0.834142 0.0208333 0.0584835 0.1 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Eff TR Hg (ng/L)

Eff Dissolved Hg (ng/L)

1 2 3 4 5 6 7

90

80

70

60

50

40

30

20

10

0

SLR

THEIL

LINE

.

..

DATA

Eff Dissolved Hg (ng/L) VS Eff TR Hg (ng/L)

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c7 c5 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Eff Turbidity (NTU), Eff TR Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Eff Turbidity (N 33 3 2.883 0.400 2.297 0.910 1.475 2.140 2.980 

Eff TR Hg (ng/L) 36 0 2.931 0.193 1.157 1.400 2.143 2.665 3.438 

Variable Maximum 

Eff Turbidity (N 11.100 

Eff TR Hg (ng/L) 7.110 

 

Data Display 
Appendix C 

148 

S_TAU 287.000 

VAR_S 4160.34 

Z_S 4.43406 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.543561 0.0000092 

 2 KENDALL'S TAU_B 0.546147 0.0000092 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 1.83562 0.196165 0.436624 0.846667 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Eff Turbidity (NTU)

Eff TR Hg (ng/L)

0 2 4 6 8 10 12

7

6

5

4

3

2

1

SLR

THEIL

LINE

.

..

DATA

Eff TR Hg (ng/L) VS Eff Turbidity (NTU)

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c8 c5 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Eff TSS (mg/L), Eff TR Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Eff TSS (mg/L) 36 0 3.450 0.398 2.389 1.000 2.000 3.000 4.000 

Eff TR Hg (ng/L) 36 0 2.931 0.193 1.157 1.400 2.143 2.665 3.438 

Variable Maximum 
Appendix C 

149 

Eff TSS (mg/L) 12.000 

Eff TR Hg (ng/L) 7.110 

 

Data Display 

S_TAU 289.000 

VAR_S 5246.67 

Z_S 3.97604 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.458730 0.0000701 

 2 KENDALL'S TAU_B 0.487719 0.0000701 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 1.86365 0.0833333 0.267115 0.5 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Eff TSS (mg/L)

Eff TR Hg (ng/L)

0 2 4 6 8 10 12

7

6

5

4

3

2

1

SLR

THEIL

LINE

.

..

DATA

Eff TR Hg (ng/L) VS Eff TSS (mg/L)

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c7 c6 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Eff Turbidity (NTU), Eff Dissolved Hg (ng/L) 
Appendix C 

150 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Eff Turbidity (N 33 3 2.883 0.400 2.297 0.910 1.475 2.140 2.980 

Eff Dissolved Hg 36 0 3.31 2.31 13.83 0.52 0.93 0.99 1.07 

Variable Maximum 

Eff Turbidity (N 11.100 

Eff Dissolved Hg 84.00 

 

Data Display 

S_TAU 144.000 

VAR_S 4154.71 

Z_S 2.21853 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.272727 0.0265185 

 2 KENDALL'S TAU_B 0.275337 0.0265185 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 0.935344 0.0025974 0.0302130 0.0588235 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Eff Turbidity (NTU)

Eff Dissolved Hg (ng/L)

0 2 4 6 8 10 12

90

80

70

60

50

40

30

20

10

0

SLR

THEIL

LINE

.

..

DATA

Eff Dissolved Hg (ng/L) VS Eff Turbidity (NTU)

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c8 c6 
Appendix C 

151 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Eff TSS (mg/L), Eff Dissolved Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Eff TSS (mg/L) 36 0 3.450 0.398 2.389 1.000 2.000 3.000 4.000 

Eff Dissolved Hg 36 0 3.31 2.31 13.83 0.52 0.93 0.99 1.07 

Variable Maximum 

Eff TSS (mg/L) 12.000 

Eff Dissolved Hg 84.00 

 

Data Display 

S_TAU 158.000 

VAR_S 5240.02 

Z_S 2.16887 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.250794 0.0300927 

 2 KENDALL'S TAU_B 0.267927 0.0300927 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 0.96 0 0.01 0.032 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 
Appendix C 

152 

Eff TSS (mg/L)

Eff Dissolved Hg (ng/L)

0 2 4 6 8 10 12

90

80

70

60

50

40

30

20

10

0

SLR

THEIL

LINE

.

..

DATA

Eff Dissolved Hg (ng/L) VS Eff TSS (mg/L)

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c10 c11 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Biosolids Sample Date2, Biosolids Hg (mg/kg) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Biosolids Sample 232 0 38454 20.2 308 37803 38198 38563 38655 

Biosolids Hg (mg 232 0 1.806 0.228 3.476 0.114 0.470 0.860 1.956 

Variable Maximum 

Biosolids Sample 38895 

Biosolids Hg (mg 38.000 

 

Data Display 

S_TAU 2887.00 

VAR_S 1396277 

Z_S 2.44236 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.107740 0.0145914 

 2 KENDALL'S TAU_B 0.107879 0.0145914 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 
Appendix C 

153 

 1 -11.6621 0.0000567 0.0003247 0.0006857 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Biosolids Sample Date2

Biosolids Hg (mg/kg)

37800 38000 38200 38400 38600 38800 39000

40

30

20

10

0

SLR

THEIL

LINE

.

..

DATA

Biosolids Hg (mg/kg) VS Biosolids Sample Date2

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c4 c6 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Inf TSS (mg/L), Eff Dissolved Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Inf TSS (mg/L) 36 0 124.7 12.3 73.7 55.0 88.0 111.0 139.0 

Eff Dissolved Hg 36 0 3.31 2.31 13.83 0.52 0.93 0.99 1.07 

Variable Maximum 

Inf TSS (mg/L) 503.0 

Eff Dissolved Hg 84.00 

 

Data Display 

S_TAU 63.0000 

VAR_S 5375.06 

Z_S 0.845668 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.100000 0.397738 

 2 KENDALL'S TAU_B 0.101043 0.397738 
Appendix C 

154 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 0.944432 -0.0006173 0.0004105 0.0016667 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Inf TSS (mg/L)

Eff Dissolved Hg (ng/L)

0 100 200 300 400 500

80

60

40

20

0

SLR

THEIL

LINE

.

..

DATA

Eff Dissolved Hg (ng/L) VS Inf TSS (mg/L)

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c7 c8 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Eff Turbidity (NTU), Eff TSS (mg/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Eff Turbidity (N 33 3 2.883 0.400 2.297 0.910 1.475 2.140 2.980 

Eff TSS (mg/L) 36 0 3.450 0.398 2.389 1.000 2.000 3.000 4.000 

Variable Maximum 

Eff Turbidity (N 11.100 

Eff TSS (mg/L) 12.000 

 

Data Display 

S_TAU 253.000 

VAR_S 4045.34 

Z_S 3.96208 

 
Appendix C 

155 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.479167 0.0000743 

 2 KENDALL'S TAU_B %ktau 0.0000743 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 1.46705 0.257732 0.716329 1.39860 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Eff Turbidity (NTU)

Eff TSS (mg/L)

0 2 4 6 8 10 12

9

8

7

6

5

4

3

2

1

0

SLR

THEIL

LINE

.

..

DATA

Eff TSS (mg/L) VS Eff Turbidity (NTU)

SEN-THEIL-KENDALL LINE

SLR LINE
Appendix C 

156 

Results for: POTW C 

MTB > %ktau c2 c3 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Sample Date2, Inf TR Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Sample Date2 36 0 38342 53.5 321 37811 38058 38343 38625 

Inf TR Hg (ng/L 36 0 71.2 13.4 80.1 18.5 37.2 49.8 69.8 

Variable Maximum 

Sample Date2 38875 

Inf TR Hg (ng/L 481.0 

 

Data Display 

S_TAU 40.0000 

VAR_S 5390.00 

Z_S 0.531215 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.0634921 0.595270 

 2 KENDALL'S TAU_B 0.0634921 0.595270 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 -235.913 -0.0179555 0.0074502 0.0380952 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 
Appendix C 

157 

Sample Date2

Inf TR Hg (ng/L)

37800 38000 38200 38400 38600 38800 39000

500

400

300

200

100

0

SLR

THEIL

LINE

.

..

DATA

Inf TR Hg (ng/L) VS Sample Date2

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c2 c4 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Sample Date2, Inf TSS (mg/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Sample Date2 36 0 38342 53.5 321 37811 38058 38343 38625 

Inf TSS (mg/L) 36 0 108.47 8.16 48.99 54.00 77.75 97.00 119.00 

Variable Maximum 

Sample Date2 38875 

Inf TSS (mg/L) 291.00 

 

Data Display 

S_TAU -27.0000 

VAR_S 5383.00 

Z_S -0.354373 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A -0.0428571 0.723059 

 2 KENDALL'S TAU_B -0.0430972 0.723059 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 
Appendix C 

158 

 1 423.027 -0.0419162 -0.0085029 0.0222743 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Sample Date2

Inf TSS (mg/L)

37800 38000 38200 38400 38600 38800 39000

300

250

200

150

100

50

SLR

THEIL

LINE

.

..

DATA

Inf TSS (mg/L) VS Sample Date2

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c2 c5 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Sample Date2, Eff TR Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Sample Date2 36 0 38342 53.5 321 37811 38058 38343 38625 

Eff TR Hg (ng/L) 36 0 2.484 0.127 0.760 0.509 1.985 2.385 2.965 

Variable Maximum 

Sample Date2 38875 

Eff TR Hg (ng/L) 4.520 

 

Data Display 

S_TAU -34.0000 

VAR_S 5390.00 

Z_S -0.449490 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A -0.0539683 0.653079 

 2 KENDALL'S TAU_B -0.0539683 0.653079 
Appendix C 

159 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 11.9756 -0.0010406 -0.0002501 0.0005634 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Sample Date2

Eff TR Hg (ng/L)

37800 38000 38200 38400 38600 38800 39000

5

4

3

2

1

0

SLR

THEIL

LINE

.

..

DATA

Eff TR Hg (ng/L) VS Sample Date2

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c2 c6 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Sample Date2, Eff Dissolved Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median 

Sample Date2 36 0 38342 53.5 321 37811 38058 38343 

Eff Dissolved Hg 36 0 0.9920 0.0309 0.1852 0.4150 0.8680 0.9715 

Variable Q3 Maximum 

Sample Date2 38625 38875 

Eff Dissolved Hg 1.0675 1.3800 

 

Data Display 

S_TAU -44.0000 

VAR_S 5383.33 

Z_S -0.586061 

 
Appendix C 

160 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A -0.0698413 0.557835 

 2 KENDALL'S TAU_B -0.0701762 0.557835 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 2.95432 -0.0002419 -0.0000517 0.0001515 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Sample Date2

Eff Dissolved Hg (ng/L)

37800 38000 38200 38400 38600 38800 39000

1.50

1.25

1.00

0.75

0.50

SLR

THEIL

LINE

.

..

DATA

Eff Dissolved Hg (ng/L) VS Sample Date2

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c2 c7 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Sample Date2, Eff Turbidity (NTU) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Sample Date2 36 0 38342 53.5 321 37811 38058 38343 38625 

Eff Turbidity (N 33 3 2.852 0.164 0.943 1.260 2.080 2.890 3.390 

Variable Maximum 

Sample Date2 38875 

Eff Turbidity (N 5.460 

 

Data Display 
Appendix C 

161 

S_TAU -113.000 

VAR_S 4164.33 

Z_S -1.73558 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A -0.214015 0.0826377 

 2 KENDALL'S TAU_B -0.214218 0.0826377 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 42.0391 -0.0022086 -0.0010199 0.0001643 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Sample Date2

Eff Turbidity (NTU)

38000 38200 38400 38600 38800 39000

6

5

4

3

2

1

SLR

THEIL

LINE

.

..

DATA

Eff Turbidity (NTU) VS Sample Date2

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c2 c8 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Sample Date2, Eff TSS (mg/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Sample Date2 36 0 38342 53.5 321 37811 38058 38343 38625 

Eff TSS (mg/L) 36 0 4.289 0.243 1.461 1.800 3.225 4.000 5.000 

Variable Maximum 
Appendix C 

162 

Sample Date2 38875 

Eff TSS (mg/L) 8.000 

 

Data Display 

S_TAU 89.0000 

VAR_S 5111.00 

Z_S 1.23092 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.141270 0.218353 

 2 KENDALL'S TAU_B 0.154459 0.218353 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 4 0 0 0.0021882 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Sample Date2

Eff TSS (mg/L)

37800 38000 38200 38400 38600 38800 39000

8

7

6

5

4

3

2

1

SLR

THEIL

LINE

.

..

DATA

Eff TSS (mg/L) VS Sample Date2

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c3 c4 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Inf TR Hg (ng/L), Inf TSS (mg/L) 
Appendix C 

163 

Variable N N* Mean SE Mean StDev Minimum Q1 Median 

Inf TR Hg (ng/L 36 0 71.2 13.4 80.1 18.5 37.2 49.8 

Inf TSS (mg/L) 36 0 108.47 8.16 48.99 54.00 77.75 97.00 

Variable Q3 Maximum 

Inf TR Hg (ng/L 69.8 481.0 

Inf TSS (mg/L) 119.00 291.00 

 

Data Display 

S_TAU 189.000 

VAR_S 5383.00 

Z_S 2.56239 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.300000 0.0103954 

 2 KENDALL'S TAU_B 0.301681 0.0103954 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 71.6289 0.124113 0.509972 0.862208 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Inf TR Hg (ng/L)

Inf TSS (mg/L)

0 100 200 300 400 500

350

300

250

200

150

100

50

SLR

THEIL

LINE

.

..

DATA

Inf TSS (mg/L) VS Inf TR Hg (ng/L)

SEN-THEIL-KENDALL LINE

SLR LINE
Appendix C 

164 

MTB > %ktau c3 c5 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Inf TR Hg (ng/L), Eff TR Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Inf TR Hg (ng/L 36 0 71.2 13.4 80.1 18.5 37.2 49.8 69.8 

Eff TR Hg (ng/L) 36 0 2.484 0.127 0.760 0.509 1.985 2.385 2.965 

Variable Maximum 

Inf TR Hg (ng/L 481.0 

Eff TR Hg (ng/L) 4.520 

 

Data Display 

S_TAU -20.0000 

VAR_S 5390.00 

Z_S -0.258797 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A -0.0317460 0.795792 

 2 KENDALL'S TAU_B -0.0317460 0.795792 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 2.43533 -0.0054328 -0.0010117 0.0080167 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 
Appendix C 

165 

Inf TR Hg (ng/L)

Eff TR Hg (ng/L)

0 100 200 300 400 500

5

4

3

2

1

0

SLR

THEIL

LINE

.

..

DATA

Eff TR Hg (ng/L) VS Inf TR Hg (ng/L)

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c3 c6 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Inf TR Hg (ng/L), Eff Dissolved Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median 

Inf TR Hg (ng/L 36 0 71.2 13.4 80.1 18.5 37.2 49.8 

Eff Dissolved Hg 36 0 0.9920 0.0309 0.1852 0.4150 0.8680 0.9715 

Variable Q3 Maximum 

Inf TR Hg (ng/L 69.8 481.0 

Eff Dissolved Hg 1.0675 1.3800 

 

Data Display 

S_TAU 78.0000 

VAR_S 5383.33 

Z_S 1.04946 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.123810 0.293967 

 2 KENDALL'S TAU_B 0.124403 0.293967 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 
Appendix C 

166 

 1 0.930647 -0.0004412 0.0008212 0.0032787 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Inf TR Hg (ng/L)

Eff Dissolved Hg (ng/L)

0 100 200 300 400 500

1.50

1.25

1.00

0.75

0.50

SLR

THEIL

LINE

.

..

DATA

Eff Dissolved Hg (ng/L) VS Inf TR Hg (ng/L)

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c5 c6 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Eff TR Hg (ng/L), Eff Dissolved Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median 

Eff TR Hg (ng/L) 36 0 2.484 0.127 0.760 0.509 1.985 2.385 

Eff Dissolved Hg 36 0 0.9920 0.0309 0.1852 0.4150 0.8680 0.9715 

Variable Q3 Maximum 

Eff TR Hg (ng/L) 2.965 4.520 

Eff Dissolved Hg 1.0675 1.3800 

 

Data Display 

S_TAU 200.000 

VAR_S 5383.33 

Z_S 2.71224 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.317460 0.0066831 

 2 KENDALL'S TAU_B 0.318983 0.0066831 
Appendix C 

167 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 0.678536 0.0384615 0.122836 0.209790 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Eff TR Hg (ng/L)

Eff Dissolved Hg (ng/L)

0 1 2 3 4 5

1.50

1.25

1.00

0.75

0.50

SLR

THEIL

LINE

.

..

DATA

Eff Dissolved Hg (ng/L) VS Eff TR Hg (ng/L)

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c7 c5 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Eff Turbidity (NTU), Eff TR Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Eff Turbidity (N 33 3 2.852 0.164 0.943 1.260 2.080 2.890 3.390 

Eff TR Hg (ng/L) 36 0 2.484 0.127 0.760 0.509 1.985 2.385 2.965 

Variable Maximum 

Eff Turbidity (N 5.460 

Eff TR Hg (ng/L) 4.520 

 

Data Display 

S_TAU 205.000 

VAR_S 4164.33 

Z_S 3.16124 

 
Appendix C 

168 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.388258 0.0015710 

 2 KENDALL'S TAU_B 0.388626 0.0015710 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 1.21576 0.180328 0.427072 0.737931 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Eff Turbidity (NTU)

Eff TR Hg (ng/L)

1 2 3 4 5 6

5

4

3

2

1

0

SLR

THEIL

LINE

.

..

DATA

Eff TR Hg (ng/L) VS Eff Turbidity (NTU)

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c8 c5 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Eff TSS (mg/L), Eff TR Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Eff TSS (mg/L) 36 0 4.289 0.243 1.461 1.800 3.225 4.000 5.000 

Eff TR Hg (ng/L) 36 0 2.484 0.127 0.760 0.509 1.985 2.385 2.965 

Variable Maximum 

Eff TSS (mg/L) 8.000 

Eff TR Hg (ng/L) 4.520 

 

Data Display 
Appendix C 

169 

S_TAU 97.0000 

VAR_S 5111.00 

Z_S 1.34282 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.153968 0.179330 

 2 KENDALL'S TAU_B 0.168343 0.179330 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 2.385 0 0 0.155 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Eff TSS (mg/L)

Eff TR Hg (ng/L)

1 2 3 4 5 6 7 8

5

4

3

2

1

0

SLR

THEIL

LINE

.

..

DATA

Eff TR Hg (ng/L) VS Eff TSS (mg/L)

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c7 c6 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Eff Turbidity (NTU), Eff Dissolved Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median 

Eff Turbidity (N 33 3 2.852 0.164 0.943 1.260 2.080 2.890 

Eff Dissolved Hg 36 0 0.9920 0.0309 0.1852 0.4150 0.8680 0.9715 

Variable Q3 Maximum 
Appendix C 

170 

Eff Turbidity (N 3.390 5.460 

Eff Dissolved Hg 1.0675 1.3800 

 

Data Display 

S_TAU -47.0000 

VAR_S 4160.34 

Z_S -0.713171 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A -0.0890152 0.475740 

 2 KENDALL'S TAU_B -0.0894390 0.475740 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 1.04370 -0.084375 -0.0244651 0.0439216 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Eff Turbidity (NTU)

Eff Dissolved Hg (ng/L)

1 2 3 4 5 6

1.50

1.25

1.00

0.75

0.50

SLR

THEIL

LINE

.

..

DATA

Eff Dissolved Hg (ng/L) VS Eff Turbidity (NTU)

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c8 c6 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Eff TSS (mg/L), Eff Dissolved Hg (ng/L) 
Appendix C 

171 

Variable N N* Mean SE Mean StDev Minimum Q1 Median 

Eff TSS (mg/L) 36 0 4.289 0.243 1.461 1.800 3.225 4.000 

Eff Dissolved Hg 36 0 0.9920 0.0309 0.1852 0.4150 0.8680 0.9715 

Variable Q3 Maximum 

Eff TSS (mg/L) 5.000 8.000 

Eff Dissolved Hg 1.0675 1.3800 

 

Data Display 

S_TAU -97.0000 

VAR_S 5105.34 

Z_S -1.34357 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A -0.153968 0.179089 

 2 KENDALL'S TAU_B -0.169151 0.179089 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 0.9715 -0.03 0 0 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Eff TSS (mg/L)

Eff Dissolved Hg (ng/L)

1 2 3 4 5 6 7 8

1.50

1.25

1.00

0.75

0.50

SLR

THEIL

LINE

.

..

DATA

Eff Dissolved Hg (ng/L) VS Eff TSS (mg/L)

SEN-THEIL-KENDALL LINE

SLR LINE
Appendix C 

172 

MTB > %ktau c10 c11 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Biosolids Sample Date2, Biosolids Hg (mg/kg) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median 

Biosolids Sample 135 0 38330 26.9 313 37809 38054 38327 

Biosolids Hg (mg 135 0 0.6939 0.0310 0.3601 0.2058 0.4800 0.6000 

Variable Q3 Maximum 

Biosolids Sample 38600 38894 

Biosolids Hg (mg 0.8200 3.2000 

 

Data Display 

S_TAU -534.000 

VAR_S 276240 

Z_S -1.01411 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A -0.0590381 0.310532 

 2 KENDALL'S TAU_B -0.0593407 0.310532 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 2.60760 -0.0001955 -0.0000524 0.0000680 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 
Appendix C 

173 

Biosolids Sample Date2

Biosolids Hg (mg/kg)

37800 38000 38200 38400 38600 38800 39000

3.5

3.0

2.5

2.0

1.5

1.0

0.5

0.0

SLR

THEIL

LINE

.

..

DATA

Biosolids Hg (mg/kg) VS Biosolids Sample Date2

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c4 c5 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Inf TSS (mg/L), Eff TR Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median 

Inf TSS (mg/L) 36 0 108.47 8.16 48.99 54.00 77.75 97.00 

Eff TR Hg (ng/L) 36 0 2.484 0.127 0.760 0.509 1.985 2.385 

Variable Q3 Maximum 

Inf TSS (mg/L) 119.00 291.00 

Eff TR Hg (ng/L) 2.965 4.520 

 

Data Display 

S_TAU -95.0000 

VAR_S 5383.00 

Z_S -1.28120 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A -0.150794 0.200125 

 2 KENDALL'S TAU_B -0.151638 0.200125 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 
Appendix C 

174 

 1 2.77113 -0.011 -0.0039807 0.0026744 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Inf TSS (mg/L)

Eff TR Hg (ng/L)

50 100 150 200 250 300

5

4

3

2

1

0

SLR

THEIL

LINE

.

..

DATA

Eff TR Hg (ng/L) VS Inf TSS (mg/L)

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c4 c6 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Inf TSS (mg/L), Eff Dissolved Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median 

Inf TSS (mg/L) 36 0 108.47 8.16 48.99 54.00 77.75 97.00 

Eff Dissolved Hg 36 0 0.9920 0.0309 0.1852 0.4150 0.8680 0.9715 

Variable Q3 Maximum 

Inf TSS (mg/L) 119.00 291.00 

Eff Dissolved Hg 1.0675 1.3800 

 

Data Display 

S_TAU 103.000 

VAR_S 5376.40 

Z_S 1.39109 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.163492 0.164199 

 2 KENDALL'S TAU_B 0.165197 0.164199 
Appendix C 

175 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 0.897570 -0.0002242 0.0007622 0.0025 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Inf TSS (mg/L)

Eff Dissolved Hg (ng/L)

50 100 150 200 250 300

1.50

1.25

1.00

0.75

0.50

SLR

THEIL

LINE

.

..

DATA

Eff Dissolved Hg (ng/L) VS Inf TSS (mg/L)

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c7 c8 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Eff Turbidity (NTU), Eff TSS (mg/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Eff Turbidity (N 33 3 2.852 0.164 0.943 1.260 2.080 2.890 3.390 

Eff TSS (mg/L) 36 0 4.289 0.243 1.461 1.800 3.225 4.000 5.000 

Variable Maximum 

Eff Turbidity (N 5.460 

Eff TSS (mg/L) 8.000 

 

Data Display 

S_TAU 204.000 

VAR_S 3978.15 

Z_S 3.21851 

 
Appendix C 

176 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.386364 0.0012886 

 2 KENDALL'S TAU_B 0.419374 0.0012886 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 1.60162 0 0.829890 1.33333 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Eff Turbidity (NTU)

Eff TSS (mg/L)

1 2 3 4 5 6

8

7

6

5

4

3

2

1

SLR

THEIL

LINE

.

..

DATA

Eff TSS (mg/L) VS Eff Turbidity (NTU)

SEN-THEIL-KENDALL LINE

SLR LINE
Appendix C 

177 

 Results for: POTW D 

MTB > %ktau c2 c3 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Sample Date2, Inf TR Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Sample Date2 34 0 38373 51.9 303 37881 38105 38374 38636 

Inf TR Hg (ng/L 34 0 181.7 21.3 124.0 14.0 100.0 155.0 230.0 

Variable Maximum 

Sample Date2 38875 

Inf TR Hg (ng/L 620.0 

 

Data Display 

S_TAU -180.000 

VAR_S 4529.33 

Z_S -2.65972 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A -0.320856 0.0078206 

 2 KENDALL'S TAU_B -0.325830 0.0078206 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 5598.12 -0.237467 -0.141844 -0.0352113 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 
Appendix C 

178 

Sample Date2

Inf TR Hg (ng/L)

38000 38200 38400 38600 38800 39000

700

600

500

400

300

200

100

0

SLR

THEIL

LINE

.

..

DATA

Inf TR Hg (ng/L) VS Sample Date2

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c2 c4 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Sample Date2, Inf TSS (mg/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Sample Date2 34 0 38373 51.9 303 37881 38105 38374 38636 

Inf TSS (mg/L) 33 1 282.5 21.0 120.6 64.0 215.0 270.0 340.0 

Variable Maximum 

Sample Date2 38875 

Inf TSS (mg/L) 650.0 

 

Data Display 

S_TAU -80.0000 

VAR_S 4156.67 

Z_S -1.22533 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A -0.151515 0.220449 

 2 KENDALL'S TAU_B -0.152676 0.220449 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 
Appendix C 

179 

 1 3222.62 -0.201913 -0.0769233 0.0440529 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Sample Date2

Inf TSS (mg/L)

38000 38200 38400 38600 38800 39000

700

600

500

400

300

200

100

0

SLR

THEIL

LINE

.

..

DATA

Inf TSS (mg/L) VS Sample Date2

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c2 c5 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Sample Date2, Eff TR Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Sample Date2 34 0 38373 51.9 303 37881 38105 38374 38636 

Eff TR Hg (ng/L) 34 0 2.171 0.165 0.962 1.100 1.575 1.850 2.500 

Variable Maximum 

Sample Date2 38875 

Eff TR Hg (ng/L) 5.500 

 

Data Display 

S_TAU -92.0000 

VAR_S 4514.67 

Z_S -1.35434 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A -0.163993 0.175627 

 2 KENDALL'S TAU_B -0.167774 0.175627 
Appendix C 

180 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 19.0068 -0.0009885 -0.0004471 0.0003226 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Sample Date2

Eff TR Hg (ng/L)

38000 38200 38400 38600 38800 39000

6

5

4

3

2

1

SLR

THEIL

LINE

.

..

DATA

Eff TR Hg (ng/L) VS Sample Date2

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c2 c6 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Sample Date2, Eff TSS (mg/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Sample Date2 34 0 38373 51.9 303 37881 38105 38374 38636 

Eff TSS (mg/L) 32 2 6.969 0.801 4.533 2.000 4.650 5.800 7.300 

Variable Maximum 

Sample Date2 38875 

Eff TSS (mg/L) 22.000 

 

Data Display 

S_TAU 22.0000 

VAR_S 3796.00 

Z_S 0.340844 

 
Appendix C 

181 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.0443548 0.733221 

 2 KENDALL'S TAU_B 0.0446256 0.733221 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 -15.7845 -0.0024339 0.0005621 0.0043836 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Sample Date2

Eff TSS (mg/L)

38000 38200 38400 38600 38800 39000

25

20

15

10

5

0

SLR

THEIL

LINE

.

..

DATA

Eff TSS (mg/L) VS Sample Date2

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c4 c3 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Inf TSS (mg/L), Inf TR Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Inf TSS (mg/L) 33 1 282.5 21.0 120.6 64.0 215.0 270.0 340.0 

Inf TR Hg (ng/L 34 0 181.7 21.3 124.0 14.0 100.0 155.0 230.0 

Variable Maximum 

Inf TSS (mg/L) 650.0 

Inf TR Hg (ng/L 620.0 

 

Data Display 
Appendix C 

182 

S_TAU 9.00000 

VAR_S 4135.92 

Z_S 0.124395 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.0170455 0.901002 

 2 KENDALL'S TAU_B 0.0174594 0.901002 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 150 -0.2625 0 0.232082 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Inf TSS (mg/L)

Inf TR Hg (ng/L)

0 100 200 300 400 500 600 700

700

600

500

400

300

200

100

0

SLR

THEIL

LINE

.

..

DATA

Inf TR Hg (ng/L) VS Inf TSS (mg/L)

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c3 c5 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Inf TR Hg (ng/L), Eff TR Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Inf TR Hg (ng/L 34 0 181.7 21.3 124.0 14.0 100.0 155.0 230.0 

Eff TR Hg (ng/L) 34 0 2.171 0.165 0.962 1.100 1.575 1.850 2.500 

Variable Maximum 
Appendix C 

183 

Inf TR Hg (ng/L 620.0 

Eff TR Hg (ng/L) 5.500 

 

Data Display 

S_TAU 98.0000 

VAR_S 4494.43 

Z_S 1.44689 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.174688 0.147929 

 2 KENDALL'S TAU_B 0.181486 0.147929 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 1.63725 0 0.0013725 0.0033333 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Inf TR Hg (ng/L)

Eff TR Hg (ng/L)

0 100 200 300 400 500 600 700

6

5

4

3

2

1

SLR

THEIL

LINE

.

..

DATA

Eff TR Hg (ng/L) VS Inf TR Hg (ng/L)

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c6 c5 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Eff TSS (mg/L), Eff TR Hg (ng/L) 
Appendix C 

184 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Eff TSS (mg/L) 32 2 6.969 0.801 4.533 2.000 4.650 5.800 7.300 

Eff TR Hg (ng/L) 34 0 2.171 0.165 0.962 1.100 1.575 1.850 2.500 

Variable Maximum 

Eff TSS (mg/L) 22.000 

Eff TR Hg (ng/L) 5.500 

 

Data Display 

S_TAU 236.000 

VAR_S 3761.63 

Z_S 3.83160 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.475806 0.0001273 

 2 KENDALL'S TAU_B 0.490730 0.0001273 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 1.10676 0.0476190 0.119524 0.220238 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Eff TSS (mg/L)

Eff TR Hg (ng/L)

0 5 10 15 20 25

6

5

4

3

2

1

SLR

THEIL

LINE

.

..

DATA

Eff TR Hg (ng/L) VS Eff TSS (mg/L)

SEN-THEIL-KENDALL LINE

SLR LINE
Appendix C 

185 

MTB > %ktau c8 c9 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Biosolids Sample Date2, Biosolids Hg (mg/kg) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Biosolids Sample 34 0 38360 52.4 305 37872 38103 38341 38637 

Biosolids Hg (mg 34 0 1.348 0.109 0.636 0.035 0.800 1.200 2.000 

Variable Maximum 

Biosolids Sample 38873 

Biosolids Hg (mg 2.700 

 

Data Display 

S_TAU 8.00000 

VAR_S 4502.00 

Z_S 0.104327 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.0142602 0.916910 

 2 KENDALL'S TAU_B 0.0146991 0.916910 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 1.2 -0.0005510 0 0.0008929 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 
Appendix C 

186 

Biosolids Sample Date2

Biosolids Hg (mg/kg)

38000 38200 38400 38600 38800 39000

3.0

2.5

2.0

1.5

1.0

0.5

0.0

SLR

THEIL

LINE

.

..

DATA

Biosolids Hg (mg/kg) VS Biosolids Sample Date2

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c4 c5 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Inf TSS (mg/L), Eff TR Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Inf TSS (mg/L) 33 1 282.5 21.0 120.6 64.0 215.0 270.0 340.0 

Eff TR Hg (ng/L) 34 0 2.171 0.165 0.962 1.100 1.575 1.850 2.500 

Variable Maximum 

Inf TSS (mg/L) 650.0 

Eff TR Hg (ng/L) 5.500 

 

Data Display 

S_TAU -29.0000 

VAR_S 4121.38 

Z_S -0.436151 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A -0.0549242 0.662727 

 2 KENDALL'S TAU_B -0.0567038 0.662727 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 
Appendix C 

187 

 1 1.8 -0.003 0 0.0013333 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Inf TSS (mg/L)

Eff TR Hg (ng/L)

0 100 200 300 400 500 600 700

6

5

4

3

2

1

SLR

THEIL

LINE

.

..

DATA

Eff TR Hg (ng/L) VS Inf TSS (mg/L)

SEN-THEIL-KENDALL LINE

SLR LINE
Appendix C 

188 

Results for: POTW E 

MTB > %ktau c2 c3 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Sample Date2, Inf TR Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Sample Date2 34 0 38373 51.9 303 37881 38105 38374 38636 

Inf TR Hg (ng/L 32 2 101.9 11.9 67.6 24.0 64.5 84.5 117.5 

Variable Maximum 

Sample Date2 38875 

Inf TR Hg (ng/L 370.0 

 

Data Display 

S_TAU 20.0000 

VAR_S 3794.00 

Z_S 0.308464 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.0403226 0.757729 

 2 KENDALL'S TAU_B 0.0406518 0.757729 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 -113.508 -0.0411622 0.0051563 0.0558723 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 
Appendix C 

189 

Sample Date2

Inf TR Hg (ng/L)

38000 38200 38400 38600 38800 39000

400

300

200

100

0

SLR

THEIL

LINE

.

..

DATA

Inf TR Hg (ng/L) VS Sample Date2

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c2 c4 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Sample Date2, Inf TSS (mg/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Sample Date2 34 0 38373 51.9 303 37881 38105 38374 38636 

Inf TSS (mg/L) 33 1 266.9 15.9 91.4 26.0 220.0 260.0 330.0 

Variable Maximum 

Sample Date2 38875 

Inf TSS (mg/L) 440.0 

 

Data Display 

S_TAU -10.0000 

VAR_S 4145.33 

Z_S -0.139786 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A -0.0189394 0.888829 

 2 KENDALL'S TAU_B -0.0192330 0.888829 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 
Appendix C 

190 

 1 260 -0.113060 0 0.109290 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Sample Date2

Inf TSS (mg/L)

38000 38200 38400 38600 38800 39000

500

400

300

200

100

0

SLR

THEIL

LINE

.

..

DATA

Inf TSS (mg/L) VS Sample Date2

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c2 c5 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Sample Date2, Eff TR Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Sample Date2 34 0 38373 51.9 303 37881 38105 38374 38636 

Eff TR Hg (ng/L) 34 0 2.076 0.117 0.684 1.200 1.475 1.950 2.525 

Variable Maximum 

Sample Date2 38875 

Eff TR Hg (ng/L) 3.700 

 

Data Display 

S_TAU -57.0000 

VAR_S 4515.67 

Z_S -0.833349 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A -0.101604 0.404648 

 2 KENDALL'S TAU_B -0.104044 0.404648 
Appendix C 

191 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 12.6990 -0.0011429 -0.0002801 0.0005495 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Sample Date2

Eff TR Hg (ng/L)

38000 38200 38400 38600 38800 39000

4.0

3.5

3.0

2.5

2.0

1.5

1.0

SLR

THEIL

LINE

.

..

DATA

Eff TR Hg (ng/L) VS Sample Date2

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c2 c6 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Sample Date2, Eff TSS (mg/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Sample Date2 34 0 38373 51.9 303 37881 38105 38374 38636 

Eff TSS (mg/L) 33 1 6.097 0.362 2.079 2.000 5.300 5.600 7.200 

Variable Maximum 

Sample Date2 38875 

Eff TSS (mg/L) 11.000 

 

Data Display 

S_TAU 92.0000 

VAR_S 4141.33 

Z_S 1.41407 

 
Appendix C 

192 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.174242 0.157341 

 2 KENDALL'S TAU_B 0.177291 0.157341 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 -40.8788 -0.0005208 0.0012109 0.0036364 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Sample Date2

Eff TSS (mg/L)

38000 38200 38400 38600 38800 39000

11

10

9

8

7

6

5

4

3

2

SLR

THEIL

LINE

.

..

DATA

Eff TSS (mg/L) VS Sample Date2

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c4 c3 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Inf TSS (mg/L), Inf TR Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Inf TSS (mg/L) 33 1 266.9 15.9 91.4 26.0 220.0 260.0 330.0 

Inf TR Hg (ng/L 32 2 101.9 11.9 67.6 24.0 64.5 84.5 117.5 

Variable Maximum 

Inf TSS (mg/L) 440.0 

Inf TR Hg (ng/L 370.0 

 

Data Display 
Appendix C 

193 

S_TAU 12.0000 

VAR_S 3438.22 

Z_S 0.187597 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.0258065 0.851193 

 2 KENDALL'S TAU_B 0.0264030 0.851193 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 85 -0.126087 0 0.2 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Inf TSS (mg/L)

Inf TR Hg (ng/L)

0 100 200 300 400

400

300

200

100

0

SLR

THEIL

LINE

.

..

DATA

Inf TR Hg (ng/L) VS Inf TSS (mg/L)

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c3 c5 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Inf TR Hg (ng/L), Eff TR Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Inf TR Hg (ng/L 32 2 101.9 11.9 67.6 24.0 64.5 84.5 117.5 

Eff TR Hg (ng/L) 34 0 2.076 0.117 0.684 1.200 1.475 1.950 2.525 

Variable Maximum 
Appendix C 

194 

Inf TR Hg (ng/L 370.0 

Eff TR Hg (ng/L) 3.700 

 

Data Display 

S_TAU 21.0000 

VAR_S 3760.74 

Z_S 0.326132 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.0423387 0.744324 

 2 KENDALL'S TAU_B 0.0438025 0.744324 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 2 -0.0035714 0 0.0066667 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Inf TR Hg (ng/L)

Eff TR Hg (ng/L)

0 100 200 300 400

4.0

3.5

3.0

2.5

2.0

1.5

1.0

SLR

THEIL

LINE

.

..

DATA

Eff TR Hg (ng/L) VS Inf TR Hg (ng/L)

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c6 c5 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Eff TSS (mg/L), Eff TR Hg (ng/L) 
Appendix C 

195 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Eff TSS (mg/L) 33 1 6.097 0.362 2.079 2.000 5.300 5.600 7.200 

Eff TR Hg (ng/L) 34 0 2.076 0.117 0.684 1.200 1.475 1.950 2.525 

Variable Maximum 

Eff TSS (mg/L) 11.000 

Eff TR Hg (ng/L) 3.700 

 

Data Display 

S_TAU 65.0000 

VAR_S 4108.53 

Z_S 0.998474 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.123106 0.318050 

 2 KENDALL'S TAU_B 0.128335 0.318050 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 1.60780 -0.05 0.0521779 0.181818 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Eff TSS (mg/L)

Eff TR Hg (ng/L)

2 3 4 5 6 7 8 9 10 11

4.0

3.5

3.0

2.5

2.0

1.5

1.0

SLR

THEIL

LINE

.

..

DATA

Eff TR Hg (ng/L) VS Eff TSS (mg/L)

SEN-THEIL-KENDALL LINE

SLR LINE
Appendix C 

196 

MTB > %ktau c8 c9 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Biosolids Sample Date2, Biosolids Hg (mg/kg) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median 

Biosolids Sample 34 0 38373 52.5 306 37871 38105 38372 

Biosolids Hg (mg 34 0 0.3303 0.0164 0.0954 0.1300 0.2575 0.3200 

Variable Q3 Maximum 

Biosolids Sample 38636 38886 

Biosolids Hg (mg 0.3925 0.6000 

 

Data Display 

S_TAU -91.0000 

VAR_S 4533.67 

Z_S -1.33665 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A -0.162210 0.181337 

 2 KENDALL'S TAU_B -0.164273 0.181337 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 2.86960 -0.0001681 -0.0000664 0.0000376 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 
Appendix C 

197 

Biosolids Sample Date2

Biosolids Hg (mg/kg)

38000 38200 38400 38600 38800 39000

0.6

0.5

0.4

0.3

0.2

0.1

SLR

THEIL

LINE

.

..

DATA

Biosolids Hg (mg/kg) VS Biosolids Sample Date2

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c4 c5 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Inf TSS (mg/L), Eff TR Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Inf TSS (mg/L) 33 1 266.9 15.9 91.4 26.0 220.0 260.0 330.0 

Eff TR Hg (ng/L) 34 0 2.076 0.117 0.684 1.200 1.475 1.950 2.525 

Variable Maximum 

Inf TSS (mg/L) 440.0 

Eff TR Hg (ng/L) 3.700 

 

Data Display 

S_TAU 14.0000 

VAR_S 4112.43 

Z_S 0.202719 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.0265152 0.839355 

 2 KENDALL'S TAU_B 0.0275873 0.839355 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 
Appendix C 

198 

 1 1.9 -0.0025 0 0.0026596 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Inf TSS (mg/L)

Eff TR Hg (ng/L)

0 100 200 300 400 500

4.0

3.5

3.0

2.5

2.0

1.5

1.0

SLR

THEIL

LINE

.

..

DATA

Eff TR Hg (ng/L) VS Inf TSS (mg/L)

SEN-THEIL-KENDALL LINE

SLR LINE
Appendix C 

199 

Results for: POTW F 

MTB > %ktau c2 c3 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Inf Sample Date2, Inf TR Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Inf Sample Date2 28 0 38463 47.4 251 38048 38245 38461 38684 

Inf TR Hg (ng/L 28 0 180.1 11.3 60.0 74.7 136.0 168.5 212.5 

Variable Maximum 

Inf Sample Date2 38881 

Inf TR Hg (ng/L 319.0 

 

Data Display 

S_TAU -175.000 

VAR_S 2559.00 

Z_S -3.43965 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A -0.462963 0.0005825 

 2 KENDALL'S TAU_B -0.464811 0.0005825 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 5509.52 -0.196081 -0.138869 -0.0737327 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 
Appendix C 

200 

Inf Sample Date2

Inf TR Hg (ng/L)

38000 38100 38200 38300 38400 38500 38600 38700 38800 38900

350

300

250

200

150

100

SLR

THEIL

LINE

.

..

DATA

Inf TR Hg (ng/L) VS Inf Sample Date2

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c2 c4 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Inf Sample Date2, Inf TSS (mg/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median 

Inf Sample Date2 28 0 38463 47.4 251 38048 38245 38461 

Inf TSS (mg/L) 27 1 253.96 5.03 26.13 226.00 235.00 248.00 

Variable Q3 Maximum 

Inf Sample Date2 38684 38881 

Inf TSS (mg/L) 265.00 350.00 

 

Data Display 

S_TAU -153.000 

VAR_S 2295.00 

Z_S -3.17287 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A -0.435897 0.0015094 

 2 KENDALL'S TAU_B -0.439672 0.0015094 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 
Appendix C 

201 

 1 1764.26 -0.0714286 -0.0394089 -0.0205479 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Inf Sample Date2

Inf TSS (mg/L)

38000 38100 38200 38300 38400 38500 38600 38700 38800 38900

360

340

320

300

280

260

240

220

SLR

THEIL

LINE

.

..

DATA

Inf TSS (mg/L) VS Inf Sample Date2

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c4 c3 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Inf TSS (mg/L), Inf TR Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median 

Inf TSS (mg/L) 27 1 253.96 5.03 26.13 226.00 235.00 248.00 

Inf TR Hg (ng/L 28 0 180.1 11.3 60.0 74.7 136.0 168.5 

Variable Q3 Maximum 

Inf TSS (mg/L) 265.00 350.00 

Inf TR Hg (ng/L 212.5 319.0 

 

Data Display 

S_TAU 56.0000 

VAR_S 2292.05 

Z_S 1.14882 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.159544 0.250632 

 2 KENDALL'S TAU_B 0.161618 0.250632 
Appendix C 

202 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 64.8 -0.443038 0.4 1.75 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Inf TSS (mg/L)

Inf TR Hg (ng/L)

220 240 260 280 300 320 340 360

300

250

200

150

100

SLR

THEIL

LINE

.

..

DATA

Inf TR Hg (ng/L) VS Inf TSS (mg/L)

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c6 c7 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Eff Sample Date2, Eff TR Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Eff Sample Date2 28 0 38464 47.5 251 38048 38244 38468 38689 

Eff TR Hg (ng/L) 28 0 2.353 0.205 1.084 1.100 1.860 2.100 2.585 

Variable Maximum 

Eff Sample Date2 38881 

Eff TR Hg (ng/L) 6.540 

 

Data Display 

S_TAU 5.00000 

VAR_S 2561.00 

Z_S 0.0790415 

 
Appendix C 

203 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.0132275 0.937000 

 2 KENDALL'S TAU_B 0.0132450 0.937000 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 -1.44199 -0.0008723 0.0000921 0.0011725 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Eff Sample Date2

Eff TR Hg (ng/L)

38000 38100 38200 38300 38400 38500 38600 38700 38800 38900

7

6

5

4

3

2

1

SLR

THEIL

LINE

.

..

DATA

Eff TR Hg (ng/L) VS Eff Sample Date2

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c6 c8 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Eff Sample Date2, Eff TSS (mg/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Eff Sample Date2 28 0 38464 47.5 251 38048 38244 38468 38689 

Eff TSS (mg/L) 28 0 5.050 0.241 1.278 2.800 4.325 4.750 5.475 

Variable Maximum 

Eff Sample Date2 38881 

Eff TSS (mg/L) 9.100 

 

Data Display 
Appendix C 

204 

S_TAU -6.00000 

VAR_S 2550.67 

Z_S -0.0990018 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A -0.0158730 0.921137 

 2 KENDALL'S TAU_B -0.0160872 0.921137 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 4.75 -0.0018571 0 0.0013514 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Eff Sample Date2

Eff TSS (mg/L)

38000 38100 38200 38300 38400 38500 38600 38700 38800 38900

9

8

7

6

5

4

3

2

SLR

THEIL

LINE

.

..

DATA

Eff TSS (mg/L) VS Eff Sample Date2

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c10 c11 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Biosolids Sample Date2, Biosolids Hg (mg/kg) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median 

Biosolids Sample 28 0 38459 47.3 250 38047 38239 38458 

Biosolids Hg (mg 28 0 1.3835 0.0729 0.3857 0.8600 1.0585 1.3570 

Variable Q3 Maximum 
Appendix C 

205 

Biosolids Sample 38680 38869 

Biosolids Hg (mg 1.5425 2.4830 

 

Data Display 

S_TAU -109.000 

VAR_S 2561.00 

Z_S -2.13412 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A -0.288360 0.0328329 

 2 KENDALL'S TAU_B -0.288742 0.0328329 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 15.2058 -0.0009788 -0.0003601 -0.0000150 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Biosolids Sample Date2

Biosolids Hg (mg/kg)

38000 38100 38200 38300 38400 38500 38600 38700 38800 38900

2.50

2.25

2.00

1.75

1.50

1.25

1.00

SLR

THEIL

LINE

.

..

DATA

Biosolids Hg (mg/kg) VS Biosolids Sample Date2

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c8 c7 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Eff TSS (mg/L), Eff TR Hg (ng/L) 
Appendix C 

206 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Eff TSS (mg/L) 28 0 5.050 0.241 1.278 2.800 4.325 4.750 5.475 

Eff TR Hg (ng/L) 28 0 2.353 0.205 1.084 1.100 1.860 2.100 2.585 

Variable Maximum 

Eff TSS (mg/L) 9.100 

Eff TR Hg (ng/L) 6.540 

 

Data Display 

S_TAU 141.000 

VAR_S 2549.69 

Z_S 2.77258 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.373016 0.0055614 

 2 KENDALL'S TAU_B 0.378551 0.0055614 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 0.804147 0.0666667 0.272811 0.516667 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Eff TSS (mg/L)

Eff TR Hg (ng/L)

2 3 4 5 6 7 8 9

7

6

5

4

3

2

1

SLR

THEIL

LINE

.

..

DATA

Eff TR Hg (ng/L) VS Eff TSS (mg/L)

SEN-THEIL-KENDALL LINE

SLR LINE
Appendix C 

207 

Results for: POTW G 

MTB > %ktau c2 c3 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Inf Sample Date2, Inf TR Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Inf Sample Date2 298 0 38353 18.3 316 37809 38074 38356 38624 

Inf TR Hg (ng/L 298 0 122.8 10.4 180.2 20.0 50.0 70.0 120.0 

Variable Maximum 

Inf Sample Date2 38895 

Inf TR Hg (ng/L 1910.0 

 

Data Display 

S_TAU 5419.00 

VAR_S 2928365 

Z_S 3.16611 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.122455 0.0015449 

 2 KENDALL'S TAU_B 0.127178 0.0015449 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 -784.243 0 0.0222717 0.0405954 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 
Appendix C 

208 

Inf Sample Date2

Inf TR Hg (ng/L)

37800 38000 38200 38400 38600 38800 39000

2000

1500

1000

500

0

SLR

THEIL

LINE

.

..

DATA

Inf TR Hg (ng/L) VS Inf Sample Date2

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c2 c4 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Inf Sample Date2, Inf TSS (mg/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median 

Inf Sample Date2 298 0 38353 18.3 316 37809 38074 38356 

Inf TSS (mg/L) 297 0 245.80 5.44 93.81 96.00 185.00 228.00 

Variable Q3 Maximum 

Inf Sample Date2 38624 38895 

Inf TSS (mg/L) 292.00 822.00 

* ERROR * Specify columns of equal length. 

* ERROR * Macro exiting... 

MTB > %ktau c2 c4 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Inf Sample Date2, Inf TSS (mg/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median 

Inf Sample Date2 297 0 38351 18.3 315 37809 38073 38355 

Inf TSS (mg/L) 297 0 245.80 5.44 93.81 96.00 185.00 228.00 

Variable Q3 Maximum 

Inf Sample Date2 38622 38894 

Inf TSS (mg/L) 292.00 822.00 

 

Data Display 
Appendix C 

209 

S_TAU 81.0000 

VAR_S 2924978 

Z_S 0.0467766 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.0018428 0.962691 

 2 KENDALL'S TAU_B 0.0018501 0.962691 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 228 -0.0275387 0 0.0292208 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Inf Sample Date2

Inf TSS (mg/L)

37800 38000 38200 38400 38600 38800 39000

900

800

700

600

500

400

300

200

100

0

SLR

THEIL

LINE

.

..

DATA

Inf TSS (mg/L) VS Inf Sample Date2

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c6 c7 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Eff Sample Date2, Eff TR Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Eff Sample Date2 74 0 38370 38.4 330 37804 38089 38363 38638 

Eff TR Hg (ng/L) 74 0 2.870 0.214 1.843 1.200 2.000 2.450 3.100 

Variable Maximum 
Appendix C 

210 

Eff Sample Date2 39071 

Eff TR Hg (ng/L) 13.600 

 

Data Display 

S_TAU 125.000 

VAR_S 45741.7 

Z_S 0.579783 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.0462792 0.562061 

 2 KENDALL'S TAU_B 0.0471604 0.562061 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 -2.63793 -0.0004255 0.0001326 0.0007463 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Eff Sample Date2

Eff TR Hg (ng/L)

37800 38000 38200 38400 38600 38800 39000 39200

14

12

10

8

6

4

2

0

SLR

THEIL

LINE

.

..

DATA

Eff TR Hg (ng/L) VS Eff Sample Date2

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c9 c7 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Eff Turbidity (NTU), Eff TR Hg (ng/L) 
Appendix C 

211 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Eff Turbidity (N 74 0 8.801 0.984 8.463 2.000 3.948 6.315 10.668 

Eff TR Hg (ng/L) 74 0 2.870 0.214 1.843 1.200 2.000 2.450 3.100 

Variable Maximum 

Eff Turbidity (N 50.340 

Eff TR Hg (ng/L) 13.600 

 

Data Display 

S_TAU 783.000 

VAR_S 45739.7 

Z_S 3.65645 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.289893 0.0002557 

 2 KENDALL'S TAU_B 0.295522 0.0002557 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 2.12560 0.0258065 0.0513699 0.0902935 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Eff Turbidity (NTU)

Eff TR Hg (ng/L)

0 10 20 30 40 50

14

12

10

8

6

4

2

0

SLR

THEIL

LINE

.

..

DATA

Eff TR Hg (ng/L) VS Eff Turbidity (NTU)

SEN-THEIL-KENDALL LINE

SLR LINE
Appendix C 

212 

MTB > %ktau c10 c7 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Eff TSS (mg/L), Eff TR Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Eff TSS (mg/L) 74 0 4.968 0.440 3.789 0.800 2.900 4.000 5.650 

Eff TR Hg (ng/L) 74 0 2.870 0.214 1.843 1.200 2.000 2.450 3.100 

Variable Maximum 

Eff TSS (mg/L) 22.400 

Eff TR Hg (ng/L) 13.600 

 

Data Display 

S_TAU 439.000 

VAR_S 45622.9 

Z_S 2.05061 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.162532 0.0403052 

 2 KENDALL'S TAU_B 0.168040 0.0403052 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 2.2 0 0.0625 0.142857 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 
Appendix C 

213 

Eff TSS (mg/L)

Eff TR Hg (ng/L)

0 5 10 15 20 25

14

12

10

8

6

4

2

0

SLR

THEIL

LINE

.

..

DATA

Eff TR Hg (ng/L) VS Eff TSS (mg/L)

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c12 c13 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Biosolids Sample Date2, Biosolids Hg (mg/kg) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median 

Biosolids Sample 148 0 38351 25.9 315 37811 38077 38352 

Biosolids Hg (mg 148 0 0.3609 0.0127 0.1551 0.1200 0.2600 0.3400 

Variable Q3 Maximum 

Biosolids Sample 38633 38894 

Biosolids Hg (mg 0.4200 1.1100 

 

Data Display 

S_TAU -294.000 

VAR_S 363342 

Z_S -0.486082 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A -0.0270270 0.626909 

 2 KENDALL'S TAU_B -0.0273508 0.626909 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 
Appendix C 

214 

 1 0.826390 -0.0000777 -0.0000127 0.0000433 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Biosolids Sample Date2

Biosolids Hg (mg/kg)

37800 38000 38200 38400 38600 38800 39000

1.2

1.0

0.8

0.6

0.4

0.2

0.0

SLR

THEIL

LINE

.

..

DATA

Biosolids Hg (mg/kg) VS Biosolids Sample Date2

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c4 c3 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Inf TSS (mg/L), Inf TR Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median 

Inf TSS (mg/L) 297 0 245.80 5.44 93.81 96.00 185.00 228.00 

Inf TR Hg (ng/L 297 0 122.9 10.5 180.5 20.0 50.0 70.0 

Variable Q3 Maximum 

Inf TSS (mg/L) 292.00 822.00 

Inf TR Hg (ng/L 120.0 1910.0 

 

Data Display 

S_TAU 6296.00 

VAR_S 2898386 

Z_S 3.69758 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.143234 0.0002177 

 2 KENDALL'S TAU_B 0.149354 0.0002177 
Appendix C 

215 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 48.3407 0 0.0949969 0.161290 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Inf TSS (mg/L)

Inf TR Hg (ng/L)

0 100 200 300 400 500 600 700 800 900

2000

1500

1000

500

0

SLR

THEIL

LINE

.

..

DATA

Inf TR Hg (ng/L) VS Inf TSS (mg/L)

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c6 c9 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Eff Sample Date2, Eff Turbidity (NTU) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Eff Sample Date2 74 0 38370 38.4 330 37804 38089 38363 38638 

Eff Turbidity (N 74 0 8.801 0.984 8.463 2.000 3.948 6.315 10.668 

Variable Maximum 

Eff Sample Date2 39071 

Eff Turbidity (N 50.340 

 

Data Display 

S_TAU -289.000 

VAR_S 45915.0 

Z_S -1.34405 

 
Appendix C 

216 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A -0.106997 0.178932 

 2 KENDALL'S TAU_B -0.107037 0.178932 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 83.041 -0.0057977 -0.002 0.0009124 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Eff Sample Date2

Eff Turbidity (NTU)

37800 38000 38200 38400 38600 38800 39000 39200

50

40

30

20

10

0

SLR

THEIL

LINE

.

..

DATA

Eff Turbidity (NTU) VS Eff Sample Date2

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c9 c10 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Eff Turbidity (NTU), Eff TSS (mg/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Eff Turbidity (N 74 0 8.801 0.984 8.463 2.000 3.948 6.315 10.668 

Eff TSS (mg/L) 74 0 4.968 0.440 3.789 0.800 2.900 4.000 5.650 

Variable Maximum 

Eff Turbidity (N 50.340 

Eff TSS (mg/L) 22.400 

 

Data Display 
Appendix C 

217 

S_TAU 602.000 

VAR_S 45793.4 

Z_S 2.80849 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.222880 0.0049774 

 2 KENDALL'S TAU_B 0.226211 0.0049774 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 2.9475 0.0512821 0.166667 0.292125 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Eff Turbidity (NTU)

Eff TSS (mg/L)

0 10 20 30 40 50

25

20

15

10

5

0

SLR

THEIL

LINE

.

..

DATA

Eff TSS (mg/L) VS Eff Turbidity (NTU)

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c6 c10 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Eff Sample Date2, Eff TSS (mg/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Eff Sample Date2 74 0 38370 38.4 330 37804 38089 38363 38638 

Eff TSS (mg/L) 74 0 4.968 0.440 3.789 0.800 2.900 4.000 5.650 

Variable Maximum 
Appendix C 

218 

Eff Sample Date2 39071 

Eff TSS (mg/L) 22.400 

 

Data Display 

S_TAU 240.000 

VAR_S 45795.3 

Z_S 1.11683 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.0888560 0.264067 

 2 KENDALL'S TAU_B 0.0901503 0.264067 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 -28.8943 -0.0006397 0.0008574 0.0022069 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Eff Sample Date2

Eff TSS (mg/L)

37800 38000 38200 38400 38600 38800 39000 39200

25

20

15

10

5

0

SLR

THEIL

LINE

.

..

DATA

Eff TSS (mg/L) VS Eff Sample Date2

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c7 c8 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Eff TR Hg (ng/L), Eff Dissolved Hg (ng/L) 
Appendix C 

219 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Eff TR Hg (ng/L) 74 0 2.870 0.214 1.843 1.200 2.000 2.450 3.100 

Eff Dissolved Hg 12 62 1.367 0.148 0.514 0.800 0.925 1.250 1.775 

Variable Maximum 

Eff TR Hg (ng/L) 13.600 

Eff Dissolved Hg 2.300 

 

Data Display 

S_TAU 16.0000 

VAR_S 207.758 

Z_S 1.04067 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.242424 0.298029 

 2 KENDALL'S TAU_B 0.251976 0.298029 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 0.534783 -0.137931 0.304348 0.9 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Eff TR Hg (ng/L)

Eff Dissolved Hg (ng/L)

1 2 3 4 5

2.5

2.0

1.5

1.0

SLR

THEIL

LINE

.

..

DATA

Eff Dissolved Hg (ng/L) VS Eff TR Hg (ng/L)

SEN-THEIL-KENDALL LINE

SLR LINE
Appendix C 

220 

MTB > %ktau c10 c8 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Eff TSS (mg/L), Eff Dissolved Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Eff TSS (mg/L) 74 0 4.968 0.440 3.789 0.800 2.900 4.000 5.650 

Eff Dissolved Hg 12 62 1.367 0.148 0.514 0.800 0.925 1.250 1.775 

Variable Maximum 

Eff TSS (mg/L) 22.400 

Eff Dissolved Hg 2.300 

 

Data Display 

S_TAU -1.00000 

VAR_S 205.182 

Z_S 0 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A -0.0151515 1 

 2 KENDALL'S TAU_B -0.0160005 1 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 1.25 -0.111111 0 0.15625 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 
Appendix C 

221 

Eff TSS (mg/L)

Eff Dissolved Hg (ng/L)

2 3 4 5 6 7 8 9 10 11

2.5

2.0

1.5

1.0

SLR

THEIL

LINE

.

..

DATA

Eff Dissolved Hg (ng/L) VS Eff TSS (mg/L)

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c9 c8 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Eff Turbidity (NTU), Eff Dissolved Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Eff Turbidity (N 74 0 8.801 0.984 8.463 2.000 3.948 6.315 10.668 

Eff Dissolved Hg 12 62 1.367 0.148 0.514 0.800 0.925 1.250 1.775 

Variable Maximum 

Eff Turbidity (N 50.340 

Eff Dissolved Hg 2.300 

 

Data Display 

S_TAU -1.00000 

VAR_S 209.667 

Z_S 0 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A -0.0151515 1 

 2 KENDALL'S TAU_B -0.0155081 1 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 
Appendix C 

222 

 1 1.25 -0.175159 0 0.0781929 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Eff Turbidity (NTU)

Eff Dissolved Hg (ng/L)

5 10 15 20

2.5

2.0

1.5

1.0

SLR

THEIL

LINE

.

..

DATA

Eff Dissolved Hg (ng/L) VS Eff Turbidity (NTU)

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c6 c8 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Eff Sample Date2, Eff Dissolved Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Eff Sample Date2 74 0 38370 38.4 330 37804 38089 38363 38638 

Eff Dissolved Hg 12 62 1.367 0.148 0.514 0.800 0.925 1.250 1.775 

Variable Maximum 

Eff Sample Date2 39071 

Eff Dissolved Hg 2.300 

 

Data Display 

S_TAU -33.0000 

VAR_S 209.667 

Z_S -2.20996 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A -0.500000 0.0271076 

 2 KENDALL'S TAU_B -0.511766 0.0271076 
Appendix C 

223 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 45.8592 -0.0037736 -0.0011504 -0.0001181 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Eff Sample Date2

Eff Dissolved Hg (ng/L)

38000 38200 38400 38600 38800

2.5

2.0

1.5

1.0

SLR

THEIL

LINE

.

..

DATA

Eff Dissolved Hg (ng/L) VS Eff Sample Date2

SEN-THEIL-KENDALL LINE

SLR LINE
Appendix C 

224 

Results for: POTW H 

MTB > %ktau c2 c3 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Sample Date2, Inf Flow Weighted Influent TR Hg 

Variable N N* Mean SE Mean StDev Minimum Q1 Median 

Sample Date2 34 0 38351 56.1 327 37830 38058 38332 

Inf Flow Weighte 32 2 126.95 9.54 53.97 70.64 81.32 110.77 

Variable Q3 Maximum 

Sample Date2 38650 38896 

Inf Flow Weighte 146.96 251.25 

 

Data Display 

S_TAU 56.0000 

VAR_S 3802.67 

Z_S 0.891905 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.112903 0.372444 

 2 KENDALL'S TAU_B 0.112903 0.372444 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 -616.655 -0.0203927 0.0189924 0.0759988 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 
Appendix C 

225 

Sample Date2

Inf Flow Weighted Influent aver

38000 38250 38500 38750 39000

250

200

150

100

50

SLR

THEIL

LINE

.

..

DATA

Inf Flow Weighted Influent TR Hg VS Sample Date2

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c2 c4 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Sample Date2, Inf Flow Weighted Influent TSS 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Sample Date2 34 0 38351 56.1 327 37830 38058 38332 38650 

Inf Flow Weighte 34 0 279.8 11.4 66.6 168.5 233.7 272.3 320.4 

Variable Maximum 

Sample Date2 38896 

Inf Flow Weighte 464.8 

 

Data Display 

S_TAU -73.0000 

VAR_S 4550.33 

Z_S -1.06736 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A -0.130125 0.285809 

 2 KENDALL'S TAU_B -0.130125 0.285809 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 
Appendix C 

226 

 1 1854.64 -0.104371 -0.0412794 0.0488236 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Sample Date2

Inf Flow Weighted Influent av_1

38000 38250 38500 38750 39000

500

450

400

350

300

250

200

SLR

THEIL

LINE

.

..

DATA

Inf Flow Weighted Influent TSS VS Sample Date2

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c2 c5 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Sample Date2, Eff TR Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Sample Date2 34 0 38351 56.1 327 37830 38058 38332 38650 

Eff TR Hg (ng/L) 33 1 4.079 0.443 2.547 1.800 2.300 3.100 4.550 

Variable Maximum 

Sample Date2 38896 

Eff TR Hg (ng/L) 11.200 

 

Data Display 

S_TAU -40.0000 

VAR_S 4156.67 

Z_S -0.604912 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A -0.0757576 0.545238 

 2 KENDALL'S TAU_B -0.0763381 0.545238 
Appendix C 

227 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 18.9333 -0.0020080 -0.0004129 0.0012016 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Sample Date2

Eff TR Hg (ng/L)

38000 38250 38500 38750 39000

11

10

9

8

7

6

5

4

3

2

SLR

THEIL

LINE

.

..

DATA

Eff TR Hg (ng/L) VS Sample Date2

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c2 c6 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Sample Date2, Eff Dissolved Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median 

Sample Date2 34 0 38351 56.1 327 37830 38058 38332 

Eff Dissolved Hg 8 26 1.0875 0.0515 0.1458 1.0000 1.0000 1.0000 

Variable Q3 Maximum 

Sample Date2 38650 38896 

Eff Dissolved Hg 1.1750 1.4000 

 

Data Display 

S_TAU -12.0000 

VAR_S 48.6667 

Z_S -1.57680 

 
Appendix C 

228 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A -0.428571 0.114841 

 2 KENDALL'S TAU_B -0.534522 0.114841 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 4.68372 -0.0002950 -0.0000957 0 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Sample Date2

Eff Dissolved Hg (ng/L)

38000 38250 38500 38750 39000

1.4

1.3

1.2

1.1

1.0

0.9

SLR

THEIL

LINE

.

..

DATA

Eff Dissolved Hg (ng/L) VS Sample Date2

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c2 c7 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Sample Date2, Eff Turbidity (NTU) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Sample Date2 34 0 38351 56.1 327 37830 38058 38332 38650 

Eff Turbidity (N 29 5 3.951 0.676 3.639 0.810 2.000 2.600 4.800 

Variable Maximum 

Sample Date2 38896 

Eff Turbidity (N 15.500 

 

Data Display 
Appendix C 

229 

S_TAU 54.0000 

VAR_S 2810.67 

Z_S 0.999703 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.133005 0.317454 

 2 KENDALL'S TAU_B 0.136055 0.317454 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 -31.8119 -0.0008511 0.0008980 0.0036036 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Sample Date2

Eff Turbidity (NTU)

38000 38250 38500 38750 39000

16

14

12

10

8

6

4

2

0

SLR

THEIL

LINE

.

..

DATA

Eff Turbidity (NTU) VS Sample Date2

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c2 c8 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Sample Date2, Eff TSS (mg/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Sample Date2 34 0 38351 56.1 327 37830 38058 38332 38650 

Eff TSS (mg/L) 33 1 4.288 0.944 5.425 1.000 1.000 2.000 4.650 

Variable Maximum 
Appendix C 

230 

Sample Date2 38896 

Eff TSS (mg/L) 24.900 

 

Data Display 

S_TAU -45.0000 

VAR_S 3755.00 

Z_S -0.718038 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A -0.0852273 0.472734 

 2 KENDALL'S TAU_B -0.0954453 0.472734 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 2 -0.0033195 0 0 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Sample Date2

Eff TSS (mg/L)

38000 38250 38500 38750 39000

25

20

15

10

5

0

SLR

THEIL

LINE

.

..

DATA

Eff TSS (mg/L) VS Sample Date2

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c3 c5 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Inf Flow Weighted Influent TR Hg, Eff TR Hg (ng/L) 
Appendix C 

231 

Variable N N* Mean SE Mean StDev Minimum Q1 Median 

Inf Flow Weighte 32 2 126.95 9.54 53.97 70.64 81.32 110.77 

Eff TR Hg (ng/L) 33 1 4.079 0.443 2.547 1.800 2.300 3.100 

Variable Q3 Maximum 

Inf Flow Weighte 146.96 251.25 

Eff TR Hg (ng/L) 4.550 11.200 

 

Data Display 

S_TAU 52.0000 

VAR_S 3454.00 

Z_S 0.867779 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.111828 0.385515 

 2 KENDALL'S TAU_B 0.112679 0.385515 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 2.82009 -0.0077321 0.0044038 0.0143803 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Inf Flow Weighted Influent aver

Eff TR Hg (ng/L)

50 100 150 200 250

11

10

9

8

7

6

5

4

3

2

SLR

THEIL

LINE

.

..

DATA

Eff TR Hg (ng/L) VS Inf Flow Weighted Influent TR Hg

SEN-THEIL-KENDALL LINE

SLR LINE
Appendix C 

232 

MTB > %ktau c3 c6 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Inf Flow Weighted Influent TR Hg, Eff Dissolved Hg 

Variable N N* Mean SE Mean StDev Minimum Q1 Median 

Inf Flow Weighte 32 2 126.95 9.54 53.97 70.64 81.32 110.77 

Eff Dissolved Hg 8 26 1.0875 0.0515 0.1458 1.0000 1.0000 1.0000 

Variable Q3 Maximum 

Inf Flow Weighte 146.96 251.25 

Eff Dissolved Hg 1.1750 1.4000 

 

Data Display 

S_TAU 1.00000 

VAR_S 35.6667 

Z_S 0 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.0476190 1 

 2 KENDALL'S TAU_B 0.0563436 1 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 1 -0.0018277 0 0.0025011 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 
Appendix C 

233 

Inf Flow Weighted Influent aver

Eff Dissolved Hg (ng/L)

50 100 150 200 250

1.4

1.3

1.2

1.1

1.0

SLR

THEIL

LINE

.

..

DATA

Eff Dissolved Hg (ng/L) VS Inf Flow Weighted Influent TR Hg

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c3 c4 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Inf Flow Weighted Influent TSS, Inf Flow Weighted Influent 

TR Hg 

Variable N N* Mean SE Mean StDev Minimum Q1 Median 

Inf Flow Weighte 32 2 126.95 9.54 53.97 70.64 81.32 110.77 

Inf Flow Weighte 34 0 279.8 11.4 66.6 168.5 233.7 272.3 

Variable Q3 Maximum 

Inf Flow Weighte 146.96 251.25 

Inf Flow Weighte 320.4 464.8 

 

Data Display 

S_TAU 124.000 

VAR_S 3802.67 

Z_S 1.99462 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.25 0.0460839 

 2 KENDALL'S TAU_B 0.25 0.0460839 

 

Data Display 
Appendix C 

234 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 216.335 0.0269592 0.505594 0.944083 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Inf Flow Weighted Influent aver

Inf Flow Weighted Influent av_1

50 100 150 200 250

500

450

400

350

300

250

200

SLR

THEIL

LINE

.

..

DATA

Inf Flow Weighted Influent TSS VS Inf Flow Weighted Influent TR Hg

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c5 c6 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Eff TR Hg (ng/L), Eff Dissolved Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median 

Eff TR Hg (ng/L) 33 1 4.079 0.443 2.547 1.800 2.300 3.100 

Eff Dissolved Hg 8 26 1.0875 0.0515 0.1458 1.0000 1.0000 1.0000 

Variable Q3 Maximum 

Eff TR Hg (ng/L) 4.550 11.200 

Eff Dissolved Hg 1.1750 1.4000 

 

Data Display 

S_TAU 10.0000 

VAR_S 48.6667 

Z_S 1.29011 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 
Appendix C 

235 

 1 KENDALL'S TAU_A 0.357143 0.197013 

 2 KENDALL'S TAU_B 0.445435 0.197013 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 0.8825 0 0.05 0.210526 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Eff TR Hg (ng/L)

Eff Dissolved Hg (ng/L)

1 2 3 4 5 6 7 8 9 10

1.4

1.3

1.2

1.1

1.0

SLR

THEIL

LINE

.

..

DATA

Eff Dissolved Hg (ng/L) VS Eff TR Hg (ng/L)

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c7 c5 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Eff Turbidity (NTU), Eff TR Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Eff Turbidity (N 29 5 3.951 0.676 3.639 0.810 2.000 2.600 4.800 

Eff TR Hg (ng/L) 33 1 4.079 0.443 2.547 1.800 2.300 3.100 4.550 

Variable Maximum 

Eff Turbidity (N 15.500 

Eff TR Hg (ng/L) 11.200 

 

Data Display 

S_TAU 155.000 

VAR_S 2538.47 

Z_S 3.05657 
Appendix C 

236 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.410053 0.0022388 

 2 KENDALL'S TAU_B 0.419517 0.0022388 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 2.42698 0.125 0.378896 0.776256 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Eff Turbidity (NTU)

Eff TR Hg (ng/L)

0 2 4 6 8 10 12 14 16

11

10

9

8

7

6

5

4

3

2

SLR

THEIL

LINE

.

..

DATA

Eff TR Hg (ng/L) VS Eff Turbidity (NTU)

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c8 c6 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Eff TSS (mg/L), Eff Dissolved Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median 

Eff TSS (mg/L) 33 1 4.288 0.944 5.425 1.000 1.000 2.000 

Eff Dissolved Hg 8 26 1.0875 0.0515 0.1458 1.0000 1.0000 1.0000 

Variable Q3 Maximum 

Eff TSS (mg/L) 4.650 24.900 

Eff Dissolved Hg 1.1750 1.4000 

 
Appendix C 

237 

Data Display 

S_TAU 5.00000 

VAR_S 42.6190 

Z_S 0.612714 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.178571 0.540065 

 2 KENDALL'S TAU_B 0.251259 0.540065 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 1 0 0 0.0588235 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Eff TSS (mg/L)

Eff Dissolved Hg (ng/L)

0 5 10 15 20 25

1.4

1.3

1.2

1.1

1.0

SLR

THEIL

LINE

.

..

DATA

Eff Dissolved Hg (ng/L) VS Eff TSS (mg/L)

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c8 c5 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Eff TSS (mg/L), Eff TR Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Eff TSS (mg/L) 33 1 4.288 0.944 5.425 1.000 1.000 2.000 4.650 

Eff TR Hg (ng/L) 33 1 4.079 0.443 2.547 1.800 2.300 3.100 4.550 
Appendix C 

238 

Variable Maximum 

Eff TSS (mg/L) 24.900 

Eff TR Hg (ng/L) 11.200 

 

Data Display 

S_TAU 152.000 

VAR_S 3459.88 

Z_S 2.56712 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.306452 0.0102547 

 2 KENDALL'S TAU_B 0.342753 0.0102547 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 2.79509 0 0.0999546 0.233577 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Eff TSS (mg/L)

Eff TR Hg (ng/L)

0 5 10 15 20 25

11

10

9

8

7

6

5

4

3

2

SLR

THEIL

LINE

.

..

DATA

Eff TR Hg (ng/L) VS Eff TSS (mg/L)

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c10 c11 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 
Appendix C 

239 

Descriptive Statistics: Biosolids Sample Date2, Biosolids Hg (mg/kg) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median 

Biosolids Sample 36 0 38349 53.0 318 37830 38073 38338 

Biosolids Hg (mg 36 0 1.1542 0.0793 0.4758 0.2100 0.9000 1.1000 

Variable Q3 Maximum 

Biosolids Sample 38634 38875 

Biosolids Hg (mg 1.2625 2.5000 

 

Data Display 

S_TAU 251.000 

VAR_S 5359.00 

Z_S 3.41506 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.398413 0.0006377 

 2 KENDALL'S TAU_B 0.405224 0.0006377 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 -27.4986 0.0002970 0.0007460 0.0013312 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Biosolids Sample Date2

Biosolids Hg (mg/kg)

38000 38250 38500 38750 39000

2.5

2.0

1.5

1.0

0.5

0.0

SLR

THEIL

LINE

.

..

DATA

Biosolids Hg (mg/kg) VS Biosolids Sample Date2

SEN-THEIL-KENDALL LINE

SLR LINE
Appendix C 

240 

MTB > %ktau c4 c5 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Inf Flow Weighted Influent TSS, Eff TR Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Inf Flow Weighte 34 0 279.8 11.4 66.6 168.5 233.7 272.3 320.4 

Eff TR Hg (ng/L) 33 1 4.079 0.443 2.547 1.800 2.300 3.100 4.550 

Variable Maximum 

Inf Flow Weighte 464.8 

Eff TR Hg (ng/L) 11.200 

 

Data Display 

S_TAU -8.00000 

VAR_S 4156.67 

Z_S -0.108574 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A -0.0151515 0.913540 

 2 KENDALL'S TAU_B -0.0152676 0.913540 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 3.14986 -0.0081229 -0.0001814 0.0091452 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 
Appendix C 

241 

Inf Flow Weighted Influent av_1

Eff TR Hg (ng/L)

200 250 300 350 400 450 500

11

10

9

8

7

6

5

4

3

2

SLR

THEIL

LINE

.

..

DATA

Eff TR Hg (ng/L) VS Inf Flow Weighted Influent TSS

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c4 c6 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Inf Flow Weighted Influent TSS, Eff Dissolved Hg 

Variable N N* Mean SE Mean StDev Minimum Q1 Median 

Inf Flow Weighte 34 0 279.8 11.4 66.6 168.5 233.7 272.3 

Eff Dissolved Hg 8 26 1.0875 0.0515 0.1458 1.0000 1.0000 1.0000 

Variable Q3 Maximum 

Inf Flow Weighte 320.4 464.8 

Eff Dissolved Hg 1.1750 1.4000 

 

Data Display 

S_TAU 0 

VAR_S 48.6667 

Z_S 0 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0 1 

 2 KENDALL'S TAU_B 0 1 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 
Appendix C 

242 

 1 1 -0.0010584 0 0.0027357 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Inf Flow Weighted Influent av_1

Eff Dissolved Hg (ng/L)

200 250 300 350 400

1.4

1.3

1.2

1.1

1.0

SLR

THEIL

LINE

.

..

DATA

Eff Dissolved Hg (ng/L) VS Inf Flow Weighted Influent TSS

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c7 c6 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Eff Turbidity (NTU), Eff Dissolved Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median 

Eff Turbidity (N 29 5 3.951 0.676 3.639 0.810 2.000 2.600 

Eff Dissolved Hg 8 26 1.0875 0.0515 0.1458 1.0000 1.0000 1.0000 

Variable Q3 Maximum 

Eff Turbidity (N 4.800 15.500 

Eff Dissolved Hg 1.1750 1.4000 

 

Data Display 

S_TAU -2.00000 

VAR_S 23.0667 

Z_S -0.208213 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A -0.133333 0.835063 

 2 KENDALL'S TAU_B -0.160128 0.835063 
Appendix C 

243 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 1.05 -0.0456621 0 0.136986 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Eff Turbidity (NTU)

Eff Dissolved Hg (ng/L)

0 2 4 6 8 10 12 14 16

1.4

1.3

1.2

1.1

1.0

SLR

THEIL

LINE

.

..

DATA

Eff Dissolved Hg (ng/L) VS Eff Turbidity (NTU)

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c8 c7 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Eff TSS (mg/L), Eff Turbidity (NTU) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Eff TSS (mg/L) 33 1 4.288 0.944 5.425 1.000 1.000 2.000 4.650 

Eff Turbidity (N 29 5 3.951 0.676 3.639 0.810 2.000 2.600 4.800 

Variable Maximum 

Eff TSS (mg/L) 24.900 

Eff Turbidity (N 15.500 

 

Data Display 

S_TAU 197.000 

VAR_S 2201.86 

Z_S 4.17697 

 
Appendix C 

244 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.521164 0.0000295 

 2 KENDALL'S TAU_B 0.613949 0.0000295 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 2.02230 0.0810811 0.275936 0.556485 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Eff TSS (mg/L)

Eff Turbidity (NTU)

0 5 10 15 20 25

16

14

12

10

8

6

4

2

0

SLR

THEIL

LINE

.

..

DATA

Eff Turbidity (NTU) VS Eff TSS (mg/L)

SEN-THEIL-KENDALL LINE

SLR LINE
Appendix C 

245 

Results for: POTW I 

MTB > %ktau c2 c3 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Sample Date2, Inf TR Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Sample Date2 37 0 38344 52.3 318 37810 38069 38334 38629 

Inf TR Hg (ng/L 34 3 209.0 30.0 175.0 56.2 121.5 152.5 183.3 

Variable Maximum 

Sample Date2 38874 

Inf TR Hg (ng/L 861.0 

 

Data Display 

S_TAU -186.000 

VAR_S 4547.33 

Z_S -2.74343 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A -0.331551 0.0060802 

 2 KENDALL'S TAU_B -0.332441 0.0060802 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 3333.48 -0.164835 -0.0829493 -0.0290828 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 
Appendix C 

246 

Sample Date2

Inf TR Hg (ng/L)

37800 38000 38200 38400 38600 38800 39000

900

800

700

600

500

400

300

200

100

0

SLR

THEIL

LINE

.

..

DATA

Inf TR Hg (ng/L) VS Sample Date2

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c2 c4 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Sample Date2, Inf TSS (mg/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Sample Date2 37 0 38344 52.3 318 37810 38069 38334 38629 

Inf TSS (mg/L) 37 0 190.24 7.32 44.52 108.00 161.00 194.00 229.00 

Variable Maximum 

Sample Date2 38874 

Inf TSS (mg/L) 272.00 

 

Data Display 

S_TAU -3.00000 

VAR_S 5839.00 

Z_S -0.0261734 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A -0.0045045 0.979119 

 2 KENDALL'S TAU_B -0.0045284 0.979119 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 
Appendix C 

247 

 1 194 -0.0610329 0 0.0534934 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Sample Date2

Inf TSS (mg/L)

37800 38000 38200 38400 38600 38800 39000

280

260

240

220

200

180

160

140

120

100

SLR

THEIL

LINE

.

..

DATA

Inf TSS (mg/L) VS Sample Date2

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c2 c5 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Sample Date2, Eff TR Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Sample Date2 37 0 38344 52.3 318 37810 38069 38334 38629 

Eff TR Hg (ng/L) 33 4 7.98 1.04 5.99 3.80 4.65 5.60 8.05 

Variable Maximum 

Sample Date2 38874 

Eff TR Hg (ng/L) 29.40 

 

Data Display 

S_TAU -30.0000 

VAR_S 4158.67 

Z_S -0.449698 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A -0.0568182 0.652928 

 2 KENDALL'S TAU_B -0.0571438 0.652928 
Appendix C 

248 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 19.8482 -0.0029781 -0.0003714 0.0019391 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Sample Date2

Eff TR Hg (ng/L)

38000 38250 38500 38750 39000

30

25

20

15

10

5

0

SLR

THEIL

LINE

.

..

DATA

Eff TR Hg (ng/L) VS Sample Date2

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c2 c6 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Sample Date2, Eff Dissolved Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Sample Date2 37 0 38344 52.3 318 37810 38069 38334 38629 

Eff Dissolved Hg 9 28 2.878 0.220 0.659 2.100 2.200 2.700 3.600 

Variable Maximum 

Sample Date2 38874 

Eff Dissolved Hg 3.700 

 

Data Display 

S_TAU -16.0000 

VAR_S 90.0000 

Z_S -1.58114 

 
Appendix C 

249 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A -0.444444 0.113846 

 2 KENDALL'S TAU_B -0.457330 0.113846 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 52.7453 -0.0018212 -0.0013005 0.0006944 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Sample Date2

Eff Dissolved Hg (ng/L)

37800 38000 38200 38400 38600 38800 39000

3.8

3.6

3.4

3.2

3.0

2.8

2.6

2.4

2.2

2.0

SLR

THEIL

LINE

.

..

DATA

Eff Dissolved Hg (ng/L) VS Sample Date2

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c2 c8 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Sample Date2, Eff TSS (mg/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Sample Date2 37 0 38344 52.3 318 37810 38069 38334 38629 

Eff TSS (mg/L) 37 0 8.589 0.876 5.329 2.400 4.800 6.600 12.500 

Variable Maximum 

Sample Date2 38874 

Eff TSS (mg/L) 21.000 

 

Data Display 
Appendix C 

250 

S_TAU 111.000 

VAR_S 5838.33 

Z_S 1.43962 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.166667 0.149975 

 2 KENDALL'S TAU_B 0.167550 0.149975 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 -124.349 -0.0010593 0.0034160 0.0083507 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Sample Date2

Eff TSS (mg/L)

37800 38000 38200 38400 38600 38800 39000

20

15

10

5

0

SLR

THEIL

LINE

.

..

DATA

Eff TSS (mg/L) VS Sample Date2

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c3 c5 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Inf TR Hg (ng/L), Eff TR Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Inf TR Hg (ng/L 34 3 209.0 30.0 175.0 56.2 121.5 152.5 183.3 

Eff TR Hg (ng/L) 33 4 7.98 1.04 5.99 3.80 4.65 5.60 8.05 

Variable Maximum 
Appendix C 

251 

Inf TR Hg (ng/L 861.0 

Eff TR Hg (ng/L) 29.40 

 

Data Display 

S_TAU -32.0000 

VAR_S 3134.69 

Z_S -0.553687 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A -0.0735632 0.579793 

 2 KENDALL'S TAU_B -0.0741600 0.579793 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 6.33162 -0.0131016 -0.0015493 0.0061927 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Inf TR Hg (ng/L)

Eff TR Hg (ng/L)

0 100 200 300 400 500 600 700 800 900

30

25

20

15

10

5

0

SLR

THEIL

LINE

.

..

DATA

Eff TR Hg (ng/L) VS Inf TR Hg (ng/L)

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c3 c6 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Inf TR Hg (ng/L), Eff Dissolved Hg (ng/L) 
Appendix C 

252 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Inf TR Hg (ng/L 34 3 209.0 30.0 175.0 56.2 121.5 152.5 183.3 

Eff Dissolved Hg 9 28 2.878 0.220 0.659 2.100 2.200 2.700 3.600 

Variable Maximum 

Inf TR Hg (ng/L 861.0 

Eff Dissolved Hg 3.700 

 

Data Display 

S_TAU 14.0000 

VAR_S 89.0556 

Z_S 1.37757 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.388889 0.168337 

 2 KENDALL'S TAU_B 0.405840 0.168337 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 2.09211 -0.0176471 0.0038968 0.0164835 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Inf TR Hg (ng/L)

Eff Dissolved Hg (ng/L)

100 150 200 250 300 350

4.0

3.5

3.0

2.5

2.0

SLR

THEIL

LINE

.

..

DATA

Eff Dissolved Hg (ng/L) VS Inf TR Hg (ng/L)

SEN-THEIL-KENDALL LINE

SLR LINE
Appendix C 

253 

MTB > %ktau c8 c5 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Eff TSS (mg/L), Eff TR Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Eff TSS (mg/L) 37 0 8.589 0.876 5.329 2.400 4.800 6.600 12.500 

Eff TR Hg (ng/L) 33 4 7.98 1.04 5.99 3.80 4.65 5.60 8.05 

Variable Maximum 

Eff TSS (mg/L) 21.000 

Eff TR Hg (ng/L) 29.40 

 

Data Display 

S_TAU 246.000 

VAR_S 4154.71 

Z_S 3.80098 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.465909 0.0001441 

 2 KENDALL'S TAU_B 0.470364 0.0001441 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 3.44283 0.166667 0.308167 0.5625 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 
Appendix C 

254 

Eff TSS (mg/L)

Eff TR Hg (ng/L)

0 5 10 15 20

30

25

20

15

10

5

0

SLR

THEIL

LINE

.

..

DATA

Eff TR Hg (ng/L) VS Eff TSS (mg/L)

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c8 c6 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Eff TSS (mg/L), Eff Dissolved Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Eff TSS (mg/L) 37 0 8.589 0.876 5.329 2.400 4.800 6.600 12.500 

Eff Dissolved Hg 9 28 2.878 0.220 0.659 2.100 2.200 2.700 3.600 

Variable Maximum 

Eff TSS (mg/L) 21.000 

Eff Dissolved Hg 3.700 

 

Data Display 

S_TAU 3.00000 

VAR_S 89.0556 

Z_S 0.211933 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.0833333 0.832159 

 2 KENDALL'S TAU_B 0.0869657 0.832159 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 
Appendix C 

255 

 1 2.67619 -0.125 0.0039683 0.0909091 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Eff TSS (mg/L)

Eff Dissolved Hg (ng/L)

5 10 15 20

3.8

3.6

3.4

3.2

3.0

2.8

2.6

2.4

2.2

2.0

SLR

THEIL

LINE

.

..

DATA

Eff Dissolved Hg (ng/L) VS Eff TSS (mg/L)

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c10 c11 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Biosolids Sample Date2, Biosolids Hg (mg/kg) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Biosolids Sample 31 7 38407 58.5 326 37816 38152 38442 38686 

Biosolids Hg (mg 31 7 0.513 0.111 0.619 0.025 0.149 0.404 0.641 

Variable Maximum 

Biosolids Sample 38898 

Biosolids Hg (mg 3.350 

 

Data Display 

S_TAU -310.000 

VAR_S 3460.67 

Z_S -5.25265 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A -0.666667 0.0000001 

 2 KENDALL'S TAU_B -0.667385 0.0000001 
Appendix C 

256 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 32.2472 -0.0010971 -0.0008283 -0.0005962 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Biosolids Sample Date2

Biosolids Hg (mg/kg)

37800 38000 38200 38400 38600 38800 39000

3.5

3.0

2.5

2.0

1.5

1.0

0.5

0.0

SLR

THEIL

LINE

.

..

DATA

Biosolids Hg (mg/kg) VS Biosolids Sample Date2

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c4 c3 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Inf TSS (mg/L), Inf TR Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median 

Inf TSS (mg/L) 37 0 190.24 7.32 44.52 108.00 161.00 194.00 

Inf TR Hg (ng/L 34 3 209.0 30.0 175.0 56.2 121.5 152.5 

Variable Q3 Maximum 

Inf TSS (mg/L) 229.00 272.00 

Inf TR Hg (ng/L 183.3 861.0 

 

Data Display 

S_TAU -36.0000 

VAR_S 4541.37 

Z_S -0.519368 

 
Appendix C 

257 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A -0.0641711 0.603504 

 2 KENDALL'S TAU_B -0.0646903 0.603504 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 180.957 -0.736842 -0.152174 0.375 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Inf TSS (mg/L)

Inf TR Hg (ng/L)

100 120 140 160 180 200 220 240 260 280

900

800

700

600

500

400

300

200

100

0

SLR

THEIL

LINE

.

..

DATA

Inf TR Hg (ng/L) VS Inf TSS (mg/L)

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c4 c5 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Inf TSS (mg/L), Eff TR Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median 

Inf TSS (mg/L) 37 0 190.24 7.32 44.52 108.00 161.00 194.00 

Eff TR Hg (ng/L) 33 4 7.98 1.04 5.99 3.80 4.65 5.60 

Variable Q3 Maximum 

Inf TSS (mg/L) 229.00 272.00 

Eff TR Hg (ng/L) 8.05 29.40 

 

Data Display 
Appendix C 

258 

S_TAU -57.0000 

VAR_S 4151.75 

Z_S -0.869106 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A -0.107955 0.384789 

 2 KENDALL'S TAU_B -0.109300 0.384789 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 6.41806 -0.0175 -0.0043981 0.0090909 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Inf TSS (mg/L)

Eff TR Hg (ng/L)

100 120 140 160 180 200 220 240 260 280

30

25

20

15

10

5

0

SLR

THEIL

LINE

.

..

DATA

Eff TR Hg (ng/L) VS Inf TSS (mg/L)

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c4 c6 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Inf TSS (mg/L), Eff Dissolved Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median 

Inf TSS (mg/L) 37 0 190.24 7.32 44.52 108.00 161.00 194.00 

Eff Dissolved Hg 9 28 2.878 0.220 0.659 2.100 2.200 2.700 

Variable Q3 Maximum 
Appendix C 

259 

Inf TSS (mg/L) 229.00 272.00 

Eff Dissolved Hg 3.600 3.700 

 

Data Display 

S_TAU 4.00000 

VAR_S 90.0000 

Z_S 0.316228 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.111111 0.751830 

 2 KENDALL'S TAU_B 0.114332 0.751830 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 1.92380 -0.0131148 0.0037679 0.0192308 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Inf TSS (mg/L)

Eff Dissolved Hg (ng/L)

100 120 140 160 180 200 220 240

3.8

3.6

3.4

3.2

3.0

2.8

2.6

2.4

2.2

2.0

SLR

THEIL

LINE

.

..

DATA

Eff Dissolved Hg (ng/L) VS Inf TSS (mg/L)

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c5 c6 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Eff TR Hg (ng/L), Eff Dissolved Hg (ng/L) 
Appendix C 

260 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Eff TR Hg (ng/L) 33 4 7.98 1.04 5.99 3.80 4.65 5.60 8.05 

Eff Dissolved Hg 9 28 2.878 0.220 0.659 2.100 2.200 2.700 3.600 

Variable Maximum 

Eff TR Hg (ng/L) 29.40 

Eff Dissolved Hg 3.700 

 

Data Display 

S_TAU 15.0000 

VAR_S 42.3810 

Z_S 2.15052 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.714286 0.0315144 

 2 KENDALL'S TAU_B 0.750000 0.0315144 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 1.88736 0 0.114943 0.666667 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Eff TR Hg (ng/L)

Eff Dissolved Hg (ng/L)

5.0 7.5 10.0 12.5 15.0

3.8

3.6

3.4

3.2

3.0

2.8

2.6

2.4

2.2

2.0

SLR

THEIL

LINE

.

..

DATA

Eff Dissolved Hg (ng/L) VS Eff TR Hg (ng/L)

SEN-THEIL-KENDALL LINE

SLR LINE
Appendix C 

261 

Results for: POTW J 

MTB > %ktau c2 c3 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Sample Date2, Inf TR Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Sample Date2 35 1 38360 52.0 308 37817 38093 38366 38604 

Inf TR Hg (ng/L 35 1 187.9 22.9 135.3 76.4 95.2 154.0 219.0 

Variable Maximum 

Sample Date2 38870 

Inf TR Hg (ng/L 783.0 

 

Data Display 

S_TAU -51.0000 

VAR_S 4956.33 

Z_S -0.710215 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A -0.0857143 0.477571 

 2 KENDALL'S TAU_B -0.0858587 0.477571 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 1071.45 -0.109890 -0.0239130 0.0542484 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 
Appendix C 

262 

Sample Date2

Inf TR Hg (ng/L)

38000 38250 38500 38750 39000

800

700

600

500

400

300

200

100

0

SLR

THEIL

LINE

.

..

DATA

Inf TR Hg (ng/L) VS Sample Date2

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c2 c4 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Sample Date2, Inf TSS (mg/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Sample Date2 35 1 38360 52.0 308 37817 38093 38366 38604 

Inf TSS (mg/L) 33 3 295.0 10.0 57.5 156.0 257.0 292.0 323.5 

Variable Maximum 

Sample Date2 38870 

Inf TSS (mg/L) 457.0 

 

Data Display 

S_TAU 22.0000 

VAR_S 4158.67 

Z_S 0.325643 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.0416667 0.744694 

 2 KENDALL'S TAU_B 0.0419054 0.744694 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 
Appendix C 

263 

 1 -176.890 -0.0521739 0.0122215 0.0650636 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Sample Date2

Inf TSS (mg/L)

38000 38200 38400 38600 38800 39000

450

400

350

300

250

200

150

SLR

THEIL

LINE

.

..

DATA

Inf TSS (mg/L) VS Sample Date2

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c2 c5 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Sample Date2, Eff TR Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Sample Date2 35 1 38360 52.0 308 37817 38093 38366 38604 

Eff TR Hg (ng/L) 35 1 7.983 0.335 1.979 4.400 6.400 7.700 9.400 

Variable Maximum 

Sample Date2 38870 

Eff TR Hg (ng/L) 12.500 

 

Data Display 

S_TAU -182.000 

VAR_S 4950.67 

Z_S -2.57245 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A -0.305882 0.0100982 

 2 KENDALL'S TAU_B -0.307698 0.0100982 
Appendix C 

264 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 134.981 -0.0054404 -0.0033175 -0.0010025 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Sample Date2

Eff TR Hg (ng/L)

38000 38250 38500 38750 39000

13

12

11

10

9

8

7

6

5

4

SLR

THEIL

LINE

.

..

DATA

Eff TR Hg (ng/L) VS Sample Date2

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c2 c7 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Sample Date2, Eff Turbidity (NTU) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Sample Date2 35 1 38360 52.0 308 37817 38093 38366 38604 

Eff Turbidity (N 32 4 8.613 0.625 3.534 4.000 6.425 8.000 10.600 

Variable Maximum 

Sample Date2 38870 

Eff Turbidity (N 20.000 

 

Data Display 

S_TAU -102.000 

VAR_S 3796.00 

Z_S -1.63930 

 
Appendix C 

265 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A -0.205645 0.101151 

 2 KENDALL'S TAU_B -0.206900 0.101151 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 136.223 -0.0073634 -0.0033433 0.0003168 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Sample Date2

Eff Turbidity (NTU)

38000 38200 38400 38600 38800 39000

20.0

17.5

15.0

12.5

10.0

7.5

5.0

SLR

THEIL

LINE

.

..

DATA

Eff Turbidity (NTU) VS Sample Date2

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c2 c8 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Sample Date2, Eff TSS (mg/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Sample Date2 35 1 38360 52.0 308 37817 38093 38366 38604 

Eff TSS (mg/L) 33 3 15.455 0.764 4.388 9.000 12.000 15.000 18.500 

Variable Maximum 

Sample Date2 38870 

Eff TSS (mg/L) 25.000 

 

Data Display 
Appendix C 

266 

S_TAU -129.000 

VAR_S 4098.33 

Z_S -1.99943 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A -0.244318 0.0455618 

 2 KENDALL'S TAU_B -0.253874 0.0455618 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 218.535 -0.0102041 -0.0053051 0 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Sample Date2

Eff TSS (mg/L)

38000 38200 38400 38600 38800 39000

26

24

22

20

18

16

14

12

10

SLR

THEIL

LINE

.

..

DATA

Eff TSS (mg/L) VS Sample Date2

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c3 c4 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Inf TR Hg (ng/L), Inf TSS (mg/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Inf TR Hg (ng/L 35 1 187.9 22.9 135.3 76.4 95.2 154.0 219.0 

Inf TSS (mg/L) 33 3 295.0 10.0 57.5 156.0 257.0 292.0 323.5 

Variable Maximum 
Appendix C 

267 

Inf TR Hg (ng/L 783.0 

Inf TSS (mg/L) 457.0 

 

Data Display 

S_TAU 84.0000 

VAR_S 4156.69 

Z_S 1.28737 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.159091 0.197964 

 2 KENDALL'S TAU_B 0.160307 0.197964 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 272.013 -0.0710059 0.133249 0.276786 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Inf TR Hg (ng/L)

Inf TSS (mg/L)

0 100 200 300 400 500 600 700 800

450

400

350

300

250

200

150

SLR

THEIL

LINE

.

..

DATA

Inf TSS (mg/L) VS Inf TR Hg (ng/L)

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c3 c5 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Inf TR Hg (ng/L), Eff TR Hg (ng/L) 
Appendix C 

268 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Inf TR Hg (ng/L 35 1 187.9 22.9 135.3 76.4 95.2 154.0 219.0 

Eff TR Hg (ng/L) 35 1 7.983 0.335 1.979 4.400 6.400 7.700 9.400 

Variable Maximum 

Inf TR Hg (ng/L 783.0 

Eff TR Hg (ng/L) 12.500 

 

Data Display 

S_TAU 38.0000 

VAR_S 4948.69 

Z_S 0.525965 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.0638655 0.598913 

 2 KENDALL'S TAU_B 0.0643528 0.598913 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 7.28502 -0.0046030 0.0026947 0.0101626 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Inf TR Hg (ng/L)

Eff TR Hg (ng/L)

0 100 200 300 400 500 600 700 800

13

12

11

10

9

8

7

6

5

4

SLR

THEIL

LINE

.

..

DATA

Eff TR Hg (ng/L) VS Inf TR Hg (ng/L)

SEN-THEIL-KENDALL LINE

SLR LINE
Appendix C 

269 

MTB > % ktau c5 c6 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Eff TR Hg (ng/L), Eff Dissolved Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Eff TR Hg (ng/L) 35 1 7.983 0.335 1.979 4.400 6.400 7.700 9.400 

Eff Dissolved Hg 9 27 2.667 0.585 1.755 1.100 1.450 1.900 4.050 

Variable Maximum 

Eff TR Hg (ng/L) 12.500 

Eff Dissolved Hg 6.200 

 

Data Display 

S_TAU 24.0000 

VAR_S 92.0000 

Z_S 2.39792 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.666667 0.0164887 

 2 KENDALL'S TAU_B 0.666667 0.0164887 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 -1.03056 0.0555556 0.366319 0.941176 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 
Appendix C 

270 

Eff TR Hg (ng/L)

Eff Dissolved Hg (ng/L)

4 5 6 7 8 9 10 11

6

5

4

3

2

1

0

SLR

THEIL

LINE

.

..

DATA

Eff Dissolved Hg (ng/L) VS Eff TR Hg (ng/L)

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c7 c5 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Eff Turbidity (NTU), Eff TR Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Eff Turbidity (N 32 4 8.613 0.625 3.534 4.000 6.425 8.000 10.600 

Eff TR Hg (ng/L) 35 1 7.983 0.335 1.979 4.400 6.400 7.700 9.400 

Variable Maximum 

Eff Turbidity (N 20.000 

Eff TR Hg (ng/L) 12.500 

 

Data Display 

S_TAU 215.000 

VAR_S 3789.41 

Z_S 3.47639 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.433468 0.0005082 

 2 KENDALL'S TAU_B 0.438776 0.0005082 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 
Appendix C 

271 

 1 4.34516 0.145833 0.363105 0.555556 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Eff Turbidity (NTU)

Eff TR Hg (ng/L)

5.0 7.5 10.0 12.5 15.0 17.5 20.0

13

12

11

10

9

8

7

6

5

4

SLR

THEIL

LINE

.

..

DATA

Eff TR Hg (ng/L) VS Eff Turbidity (NTU)

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c8 c5 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Eff TSS (mg/L), Eff TR Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median 

Eff TSS (mg/L) 33 3 15.455 0.764 4.388 9.000 12.000 15.000 

Eff TR Hg (ng/L) 35 1 7.983 0.335 1.979 4.400 6.400 7.700 

Variable Q3 Maximum 

Eff TSS (mg/L) 18.500 25.000 

Eff TR Hg (ng/L) 9.400 12.500 

 

Data Display 

S_TAU 193.000 

VAR_S 4091.19 

Z_S 3.00176 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.365530 0.0026842 

 2 KENDALL'S TAU_B 0.382370 0.0026842 
Appendix C 

272 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 4.5 0.04 0.2 0.333333 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Eff TSS (mg/L)

Eff TR Hg (ng/L)

10 12 14 16 18 20 22 24 26

13

12

11

10

9

8

7

6

5

4

SLR

THEIL

LINE

.

..

DATA

Eff TR Hg (ng/L) VS Eff TSS (mg/L)

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c8 c7 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Eff TSS (mg/L), Eff Turbidity (NTU) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median 

Eff TSS (mg/L) 33 3 15.455 0.764 4.388 9.000 12.000 15.000 

Eff Turbidity (N 32 4 8.613 0.625 3.534 4.000 6.425 8.000 

Variable Q3 Maximum 

Eff TSS (mg/L) 18.500 25.000 

Eff Turbidity (N 10.600 20.000 

 

Data Display 

S_TAU 196.000 

VAR_S 3730.47 

Z_S 3.19266 

 
Appendix C 

273 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.395161 0.0014097 

 2 KENDALL'S TAU_B 0.413738 0.0014097 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 2.41511 0.1 0.385165 0.616667 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Eff TSS (mg/L)

Eff Turbidity (NTU)

10 12 14 16 18 20 22 24 26

20.0

17.5

15.0

12.5

10.0

7.5

5.0

SLR

THEIL

LINE

.

..

DATA

Eff Turbidity (NTU) VS Eff TSS (mg/L)

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c7 c6 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Eff Turbidity (NTU), Eff Dissolved Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Eff Turbidity (N 32 4 8.613 0.625 3.534 4.000 6.425 8.000 10.600 

Eff Dissolved Hg 9 27 2.667 0.585 1.755 1.100 1.450 1.900 4.050 

Variable Maximum 

Eff Turbidity (N 20.000 

Eff Dissolved Hg 6.200 

 

Data Display 
Appendix C 

274 

S_TAU 6.00000 

VAR_S 43.3333 

Z_S 0.759555 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.285714 0.447521 

 2 KENDALL'S TAU_B 0.292770 0.447521 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 1.25455 -0.157895 0.0909091 0.220339 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Eff Turbidity (NTU)

Eff Dissolved Hg (ng/L)

5.0 7.5 10.0 12.5 15.0 17.5

3.5

3.0

2.5

2.0

1.5

1.0

SLR

THEIL

LINE

.

..

DATA

Eff Dissolved Hg (ng/L) VS Eff Turbidity (NTU)

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c10 c11 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Biosolids Sample Date2, Biosolids Hg (mg/kg) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median 

Biosolids Sample 36 0 38353 53.5 321 37816 38070 38355 

Biosolids Hg (mg 36 0 1.3108 0.0780 0.4677 0.8400 0.9525 1.2000 

Variable Q3 Maximum 
Appendix C 

275 

Biosolids Sample 38635 38887 

Biosolids Hg (mg 1.4000 3.2200 

 

Data Display 

S_TAU -153.000 

VAR_S 5332.33 

Z_S -2.08154 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A -0.242857 0.0373844 

 2 KENDALL'S TAU_B -0.249898 0.0373844 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 15.6085 -0.0006696 -0.0003757 0 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Biosolids Sample Date2

Biosolids Hg (mg/kg)

37800 38000 38200 38400 38600 38800 39000

3.5

3.0

2.5

2.0

1.5

1.0

SLR

THEIL

LINE

.

..

DATA

Biosolids Hg (mg/kg) VS Biosolids Sample Date2

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c3 c6 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Inf TR Hg (ng/L), Eff Dissolved Hg (ng/L) 
Appendix C 

276 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Inf TR Hg (ng/L 35 1 187.9 22.9 135.3 76.4 95.2 154.0 219.0 

Eff Dissolved Hg 9 27 2.667 0.585 1.755 1.100 1.450 1.900 4.050 

Variable Maximum 

Inf TR Hg (ng/L 783.0 

Eff Dissolved Hg 6.200 

 

Data Display 

S_TAU 6.00000 

VAR_S 92.0000 

Z_S 0.521286 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.166667 0.602168 

 2 KENDALL'S TAU_B 0.166667 0.602168 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 1.43485 -0.0131579 0.0032079 0.0237288 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Inf TR Hg (ng/L)

Eff Dissolved Hg (ng/L)

100 150 200 250 300

6

5

4

3

2

1

SLR

THEIL

LINE

.

..

DATA

Eff Dissolved Hg (ng/L) VS Inf TR Hg (ng/L)

SEN-THEIL-KENDALL LINE

SLR LINE
Appendix C 

277 

MTB > %ktau c4 c5 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Inf TSS (mg/L), Eff TR Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Inf TSS (mg/L) 33 3 295.0 10.0 57.5 156.0 257.0 292.0 323.5 

Eff TR Hg (ng/L) 35 1 7.983 0.335 1.979 4.400 6.400 7.700 9.400 

Variable Maximum 

Inf TSS (mg/L) 457.0 

Eff TR Hg (ng/L) 12.500 

 

Data Display 

S_TAU -25.0000 

VAR_S 4151.08 

Z_S -0.372504 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A -0.0473485 0.709518 

 2 KENDALL'S TAU_B -0.0479387 0.709518 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 8.11259 -0.0172414 -0.0020979 0.0083333 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 
Appendix C 

278 

Inf TSS (mg/L)

Eff TR Hg (ng/L)

150 200 250 300 350 400 450

13

12

11

10

9

8

7

6

5

4

SLR

THEIL

LINE

.

..

DATA

Eff TR Hg (ng/L) VS Inf TSS (mg/L)

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c4 c6 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Inf TSS (mg/L), Eff Dissolved Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Inf TSS (mg/L) 33 3 295.0 10.0 57.5 156.0 257.0 292.0 323.5 

Eff Dissolved Hg 9 27 2.667 0.585 1.755 1.100 1.450 1.900 4.050 

Variable Maximum 

Inf TSS (mg/L) 457.0 

Eff Dissolved Hg 6.200 

 

Data Display 

S_TAU 1.00000 

VAR_S 44.3333 

Z_S 0 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.0476190 1 

 2 KENDALL'S TAU_B 0.0476190 1 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 
Appendix C 

279 

 1 1.50101 -0.0083333 0.0010101 0.028125 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Inf TSS (mg/L)

Eff Dissolved Hg (ng/L)

250 300 350 400 450

3.5

3.0

2.5

2.0

1.5

1.0

SLR

THEIL

LINE

.

..

DATA

Eff Dissolved Hg (ng/L) VS Inf TSS (mg/L)

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c8 c6 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Eff TSS (mg/L), Eff Dissolved Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median 

Eff TSS (mg/L) 33 3 15.455 0.764 4.388 9.000 12.000 15.000 

Eff Dissolved Hg 9 27 2.667 0.585 1.755 1.100 1.450 1.900 

Variable Q3 Maximum 

Eff TSS (mg/L) 18.500 25.000 

Eff Dissolved Hg 4.050 6.200 

 

Data Display 

S_TAU 14.0000 

VAR_S 43.3333 

Z_S 1.97484 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.666667 0.0482861 

 2 KENDALL'S TAU_B 0.683130 0.0482861 
Appendix C 

280 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 0.6 0 0.1 0.146154 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Eff TSS (mg/L)

Eff Dissolved Hg (ng/L)

10 12 14 16 18 20 22 24 26

3.5

3.0

2.5

2.0

1.5

1.0

SLR

THEIL

LINE

.

..

DATA

Eff Dissolved Hg (ng/L) VS Eff TSS (mg/L)

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c2 c6 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Sample Date2, Eff Dissolved Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Sample Date2 35 1 38360 52.0 308 37817 38093 38366 38604 

Eff Dissolved Hg 9 27 2.667 0.585 1.755 1.100 1.450 1.900 4.050 

Variable Maximum 

Sample Date2 38870 

Eff Dissolved Hg 6.200 

 

Data Display 

S_TAU -16.0000 

VAR_S 92.0000 

Z_S -1.56386 

 
Appendix C 

281 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A -0.444444 0.117851 

 2 KENDALL'S TAU_B -0.444444 0.117851 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 82.8878 -0.0065185 -0.0021029 0.0006211 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Sample Date2

Eff Dissolved Hg (ng/L)

38000 38250 38500 38750 39000

6

5

4

3

2

1

SLR

THEIL

LINE

.

..

DATA

Eff Dissolved Hg (ng/L) VS Sample Date2

SEN-THEIL-KENDALL LINE

SLR LINE
Appendix C 

282 

Results for: POTW K 

MTB > %ktau c2 c3 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Sample Date2, Inf TR Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Sample Date2 34 1 38354 52.9 308 37848 38084 38352 38613 

Inf TR Hg (ng/L 34 1 115.0 14.3 83.7 35.0 67.5 92.4 129.5 

Variable Maximum 

Sample Date2 38870 

Inf TR Hg (ng/L 443.0 

 

Data Display 

S_TAU -96.0000 

VAR_S 4549.33 

Z_S -1.40848 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A -0.171123 0.158990 

 2 KENDALL'S TAU_B -0.171276 0.158990 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 1715.63 -0.0873626 -0.0423246 0.0229746 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 
Appendix C 

283 

Sample Date2

Inf TR Hg (ng/L)

38000 38250 38500 38750 39000

500

400

300

200

100

0

SLR

THEIL

LINE

.

..

DATA

Inf TR Hg (ng/L) VS Sample Date2

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c2 c4 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Sample Date2, Inf TSS (mg/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Sample Date2 34 1 38354 52.9 308 37848 38084 38352 38613 

Inf TSS (mg/L) 33 2 202.5 10.4 59.8 118.0 170.0 194.0 215.0 

Variable Maximum 

Sample Date2 38870 

Inf TSS (mg/L) 430.0 

 

Data Display 

S_TAU -40.0000 

VAR_S 4161.33 

Z_S -0.604572 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A -0.0757576 0.545463 

 2 KENDALL'S TAU_B -0.0760462 0.545463 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 
Appendix C 

284 

 1 954.102 -0.0807453 -0.0198119 0.0399160 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Sample Date2

Inf TSS (mg/L)

38000 38250 38500 38750 39000

450

400

350

300

250

200

150

100

SLR

THEIL

LINE

.

..

DATA

Inf TSS (mg/L) VS Sample Date2

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c2 c5 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Sample Date2, Eff TR Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Sample Date2 34 1 38354 52.9 308 37848 38084 38352 38613 

Eff TR Hg (ng/L) 33 2 7.824 0.981 5.637 3.400 4.950 7.100 8.850 

Variable Maximum 

Sample Date2 38870 

Eff TR Hg (ng/L) 36.600 

 

Data Display 

S_TAU -188.000 

VAR_S 4159.33 

Z_S -2.89954 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A -0.356061 0.0037371 

 2 KENDALL'S TAU_B -0.358101 0.0037371 
Appendix C 

285 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 182.202 -0.0076190 -0.0045673 -0.0015306 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Sample Date2

Eff TR Hg (ng/L)

38000 38250 38500 38750 39000

40

30

20

10

0

SLR

THEIL

LINE

.

..

DATA

Eff TR Hg (ng/L) VS Sample Date2

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c2 c7 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Sample Date2, Eff Turbidity (NTU) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Sample Date2 34 1 38354 52.9 308 37848 38084 38352 38613 

Eff Turbidity (N 32 3 4.660 0.264 1.494 2.660 3.475 4.540 5.635 

Variable Maximum 

Sample Date2 38870 

Eff Turbidity (N 9.680 

 

Data Display 

S_TAU -76.0000 

VAR_S 3802.67 

Z_S -1.21623 

 
Appendix C 

286 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A -0.153226 0.223896 

 2 KENDALL'S TAU_B -0.153226 0.223896 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 58.6375 -0.0032143 -0.0014093 0.0005539 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Sample Date2

Eff Turbidity (NTU)

38000 38200 38400 38600 38800 39000

10

9

8

7

6

5

4

3

2

SLR

THEIL

LINE

.

..

DATA

Eff Turbidity (NTU) VS Sample Date2

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c2 c8 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Sample Date2, Eff TSS (mg/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Sample Date2 34 1 38354 52.9 308 37848 38084 38352 38613 

Eff TSS (mg/L) 32 3 8.938 0.571 3.232 3.000 6.250 8.500 11.750 

Variable Maximum 

Sample Date2 38870 

Eff TSS (mg/L) 15.000 

 

Data Display 
Appendix C 

287 

S_TAU -20.0000 

VAR_S 3758.67 

Z_S -0.309911 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A -0.0403226 0.756629 

 2 KENDALL'S TAU_B -0.0416898 0.756629 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 8.5 -0.0052840 0 0.0034542 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Sample Date2

Eff TSS (mg/L)

38000 38200 38400 38600 38800 39000

16

14

12

10

8

6

4

2

SLR

THEIL

LINE

.

..

DATA

Eff TSS (mg/L) VS Sample Date2

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c4 c3 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Inf TSS (mg/L), Inf TR Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Inf TSS (mg/L) 33 2 202.5 10.4 59.8 118.0 170.0 194.0 215.0 

Inf TR Hg (ng/L 34 1 115.0 14.3 83.7 35.0 67.5 92.4 129.5 

Variable Maximum 
Appendix C 

288 

Inf TSS (mg/L) 430.0 

Inf TR Hg (ng/L 443.0 

 

Data Display 

S_TAU 199.000 

VAR_S 4160.34 

Z_S 3.06973 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.376894 0.0021425 

 2 KENDALL'S TAU_B 0.378689 0.0021425 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 -3.90402 0.254348 0.507237 0.853211 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Inf TSS (mg/L)

Inf TR Hg (ng/L)

100 150 200 250 300 350 400 450

500

400

300

200

100

0

SLR

THEIL

LINE

.

..

DATA

Inf TR Hg (ng/L) VS Inf TSS (mg/L)

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > % ktau c3 c5 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Inf TR Hg (ng/L), Eff TR Hg (ng/L) 
Appendix C 

289 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Inf TR Hg (ng/L 34 1 115.0 14.3 83.7 35.0 67.5 92.4 129.5 

Eff TR Hg (ng/L) 33 2 7.824 0.981 5.637 3.400 4.950 7.100 8.850 

Variable Maximum 

Inf TR Hg (ng/L 443.0 

Eff TR Hg (ng/L) 36.600 

 

Data Display 

S_TAU 87.0000 

VAR_S 4158.34 

Z_S 1.33364 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.164773 0.182322 

 2 KENDALL'S TAU_B 0.165874 0.182322 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 6.30300 -0.0045249 0.0088261 0.0323944 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Inf TR Hg (ng/L)

Eff TR Hg (ng/L)

0 100 200 300 400 500

40

30

20

10

0

SLR

THEIL

LINE

.

..

DATA

Eff TR Hg (ng/L) VS Inf TR Hg (ng/L)

SEN-THEIL-KENDALL LINE

SLR LINE
Appendix C 

290 

MTB > %ktau c7 c5 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Eff Turbidity (NTU), Eff TR Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Eff Turbidity (N 32 3 4.660 0.264 1.494 2.660 3.475 4.540 5.635 

Eff TR Hg (ng/L) 33 2 7.824 0.981 5.637 3.400 4.950 7.100 8.850 

Variable Maximum 

Eff Turbidity (N 9.680 

Eff TR Hg (ng/L) 36.600 

 

Data Display 

S_TAU 305.000 

VAR_S 3455.67 

Z_S 5.17139 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.655914 0.0000002 

 2 KENDALL'S TAU_B 0.660187 0.0000002 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 0.966423 0.877193 1.31387 1.82203 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 
Appendix C 

291 

Eff Turbidity (NTU)

Eff TR Hg (ng/L)

2 3 4 5 6 7 8 9 10

15.0

12.5

10.0

7.5

5.0

SLR

THEIL

LINE

.

..

DATA

Eff TR Hg (ng/L) VS Eff Turbidity (NTU)

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c8 c5 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Eff TSS (mg/L), Eff TR Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Eff TSS (mg/L) 32 3 8.938 0.571 3.232 3.000 6.250 8.500 11.750 

Eff TR Hg (ng/L) 33 2 7.824 0.981 5.637 3.400 4.950 7.100 8.850 

Variable Maximum 

Eff TSS (mg/L) 15.000 

Eff TR Hg (ng/L) 36.600 

 

Data Display 

S_TAU 128.000 

VAR_S 3413.07 

Z_S 2.17386 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.275269 0.0297157 

 2 KENDALL'S TAU_B 0.286787 0.0297157 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 
Appendix C 

292 

 1 5.02222 0 0.222222 0.5 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Eff TSS (mg/L)

Eff TR Hg (ng/L)

2 4 6 8 10 12 14 16

14

12

10

8

6

4

2

SLR

THEIL

LINE

.

..

DATA

Eff TR Hg (ng/L) VS Eff TSS (mg/L)

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c7 c8 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Eff Turbidity (NTU), Eff TSS (mg/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Eff Turbidity (N 32 3 4.660 0.264 1.494 2.660 3.475 4.540 5.635 

Eff TSS (mg/L) 32 3 8.938 0.571 3.232 3.000 6.250 8.500 11.750 

Variable Maximum 

Eff Turbidity (N 9.680 

Eff TSS (mg/L) 15.000 

 

Data Display 

S_TAU 150.000 

VAR_S 3418.67 

Z_S 2.54834 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.322581 0.0108236 

 2 KENDALL'S TAU_B 0.333903 0.0108236 
Appendix C 

293 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 3.27660 0.219298 1.06383 1.79856 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Eff Turbidity (NTU)

Eff TSS (mg/L)

2 3 4 5 6 7 8 9 10

16

14

12

10

8

6

4

2

SLR

THEIL

LINE

.

..

DATA

Eff TSS (mg/L) VS Eff Turbidity (NTU)

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c10 c11 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Biosolids Sample Date2, Biosolids Hg (mg/kg) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Biosolids Sample 35 0 38368 52.7 312 37851 38096 38376 38642 

Biosolids Hg (mg 35 0 1.599 0.114 0.675 1.000 1.200 1.400 1.750 

Variable Maximum 

Biosolids Sample 38887 

Biosolids Hg (mg 4.440 

 

Data Display 

S_TAU -156.000 

VAR_S 4868.67 

Z_S -2.22140 

 
Appendix C 

294 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A -0.262185 0.0263239 

 2 KENDALL'S TAU_B -0.273697 0.0263239 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 16.2456 -0.0009119 -0.0003868 0 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Biosolids Sample Date2

Biosolids Hg (mg/kg)

38000 38250 38500 38750 39000

4.5

4.0

3.5

3.0

2.5

2.0

1.5

1.0

SLR

THEIL

LINE

.

..

DATA

Biosolids Hg (mg/kg) VS Biosolids Sample Date2

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c3 c6 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Inf TR Hg (ng/L), Eff Dissolved Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Inf TR Hg (ng/L 34 1 115.0 14.3 83.7 35.0 67.5 92.4 129.5 

Eff Dissolved Hg 8 27 3.750 0.850 2.405 1.600 2.375 3.200 3.825 

Variable Maximum 

Inf TR Hg (ng/L 443.0 

Eff Dissolved Hg 9.400 

 

Data Display 
Appendix C 

295 

S_TAU 9.00000 

VAR_S 64.3333 

Z_S 0.997406 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.321429 0.318567 

 2 KENDALL'S TAU_B 0.327327 0.318567 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 1.85107 -0.0164706 0.0129518 0.0479115 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Inf TR Hg (ng/L)

Eff Dissolved Hg (ng/L)

50 75 100 125 150 175 200 225

10

9

8

7

6

5

4

3

2

1

SLR

THEIL

LINE

.

..

DATA

Eff Dissolved Hg (ng/L) VS Inf TR Hg (ng/L)

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c4 c5 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Inf TSS (mg/L), Eff TR Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Inf TSS (mg/L) 33 2 202.5 10.4 59.8 118.0 170.0 194.0 215.0 

Eff TR Hg (ng/L) 33 2 7.824 0.981 5.637 3.400 4.950 7.100 8.850 

Variable Maximum 
Appendix C 

296 

Inf TSS (mg/L) 430.0 

Eff TR Hg (ng/L) 36.600 

 

Data Display 

S_TAU 81.0000 

VAR_S 3793.70 

Z_S 1.29885 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.163306 0.193996 

 2 KENDALL'S TAU_B 0.164802 0.193996 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 4.84107 -0.0054945 0.0107598 0.0325 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Inf TSS (mg/L)

Eff TR Hg (ng/L)

100 150 200 250 300 350 400 450

40

30

20

10

0

SLR

THEIL

LINE

.

..

DATA

Eff TR Hg (ng/L) VS Inf TSS (mg/L)

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c4 c6 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Inf TSS (mg/L), Eff Dissolved Hg (ng/L) 
Appendix C 

297 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Inf TSS (mg/L) 33 2 202.5 10.4 59.8 118.0 170.0 194.0 215.0 

Eff Dissolved Hg 8 27 3.750 0.850 2.405 1.600 2.375 3.200 3.825 

Variable Maximum 

Inf TSS (mg/L) 430.0 

Eff Dissolved Hg 9.400 

 

Data Display 

S_TAU 5.00000 

VAR_S 64.3333 

Z_S 0.498703 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.178571 0.617989 

 2 KENDALL'S TAU_B 0.181848 0.617989 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 0.726667 -0.0485714 0.0126190 0.0722222 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Inf TSS (mg/L)

Eff Dissolved Hg (ng/L)

150 175 200 225 250 275 300

10

9

8

7

6

5

4

3

2

1

SLR

THEIL

LINE

.

..

DATA

Eff Dissolved Hg (ng/L) VS Inf TSS (mg/L)

SEN-THEIL-KENDALL LINE

SLR LINE
Appendix C 

298 

MTB > %ktau c5 c6 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Eff TR Hg (ng/L), Eff Dissolved Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Eff TR Hg (ng/L) 33 2 7.824 0.981 5.637 3.400 4.950 7.100 8.850 

Eff Dissolved Hg 8 27 3.750 0.850 2.405 1.600 2.375 3.200 3.825 

Variable Maximum 

Eff TR Hg (ng/L) 36.600 

Eff Dissolved Hg 9.400 

 

Data Display 

S_TAU 11.0000 

VAR_S 42.3810 

Z_S 1.53608 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.523810 0.124518 

 2 KENDALL'S TAU_B 0.550000 0.124518 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 1.77153 -0.0222222 0.225694 0.428571 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 
Appendix C 

299 

Eff TR Hg (ng/L)

Eff Dissolved Hg (ng/L)

0 10 20 30 40

10

9

8

7

6

5

4

3

2

1

SLR

THEIL

LINE

.

..

DATA

Eff Dissolved Hg (ng/L) VS Eff TR Hg (ng/L)

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c8 c6 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Eff TSS (mg/L), Eff Dissolved Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Eff TSS (mg/L) 32 3 8.938 0.571 3.232 3.000 6.250 8.500 11.750 

Eff Dissolved Hg 8 27 3.750 0.850 2.405 1.600 2.375 3.200 3.825 

Variable Maximum 

Eff TSS (mg/L) 15.000 

Eff Dissolved Hg 9.400 

 

Data Display 

S_TAU -4.00000 

VAR_S 43.3333 

Z_S -0.455733 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A -0.190476 0.648582 

 2 KENDALL'S TAU_B -0.195180 0.648582 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 
Appendix C 

300 

 1 3.67 -0.325 -0.07 0.333333 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Eff TSS (mg/L)

Eff Dissolved Hg (ng/L)

5.0 7.5 10.0 12.5 15.0

4.0

3.5

3.0

2.5

2.0

1.5

SLR

THEIL

LINE

.

..

DATA

Eff Dissolved Hg (ng/L) VS Eff TSS (mg/L)

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c7 c6 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Eff Turbidity (NTU), Eff Dissolved Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Eff Turbidity (N 32 3 4.660 0.264 1.494 2.660 3.475 4.540 5.635 

Eff Dissolved Hg 8 27 3.750 0.850 2.405 1.600 2.375 3.200 3.825 

Variable Maximum 

Eff Turbidity (N 9.680 

Eff Dissolved Hg 9.400 

 

Data Display 

S_TAU 0 

VAR_S 43.3333 

Z_S 0 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0 1 

 2 KENDALL'S TAU_B 0 1 
Appendix C 

301 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 2.9 -1.29630 0 0.859729 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Eff Turbidity (NTU)

Eff Dissolved Hg (ng/L)

3 4 5 6 7

4.0

3.5

3.0

2.5

2.0

1.5

SLR

THEIL

LINE

.

..

DATA

Eff Dissolved Hg (ng/L) VS Eff Turbidity (NTU)

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c2 c6 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Sample Date2, Eff Dissolved Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Sample Date2 34 1 38354 52.9 308 37848 38084 38352 38613 

Eff Dissolved Hg 8 27 3.750 0.850 2.405 1.600 2.375 3.200 3.825 

Variable Maximum 

Sample Date2 38870 

Eff Dissolved Hg 9.400 

 

Data Display 

S_TAU -21.0000 

VAR_S 64.3333 

Z_S -2.49351 

 
Appendix C 

302 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A -0.750000 0.0126485 

 2 KENDALL'S TAU_B -0.763763 0.0126485 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 186.336 -0.0125 -0.0047565 -0.00096 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Sample Date2

Eff Dissolved Hg (ng/L)

38000 38250 38500 38750 39000

10

9

8

7

6

5

4

3

2

1

SLR

THEIL

LINE

.

..

DATA

Eff Dissolved Hg (ng/L) VS Sample Date2

SEN-THEIL-KENDALL LINE

SLR LINE
Appendix C 

303 

Results for: POTW L 

MTB > %ktau c2 c3 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Inf Sample Date2, Inf TR Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Inf Sample Date2 37 0 38327 53.3 324 37831 38035 38322 38612 

Inf TR Hg (ng/L 37 0 281.0 54.7 332.8 56.0 126.5 185.0 310.0 

Variable Maximum 

Inf Sample Date2 38873 

Inf TR Hg (ng/L 2040.0 

 

Data Display 

S_TAU -103.000 

VAR_S 5843.00 

Z_S -1.33439 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A -0.154655 0.182077 

 2 KENDALL'S TAU_B -0.155004 0.182077 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 3226.26 -0.239130 -0.0793607 0.0494505 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 
Appendix C 

304 

Inf Sample Date2

Inf TR Hg (ng/L)

38000 38250 38500 38750 39000

2000

1500

1000

500

0

SLR

THEIL

LINE

.

..

DATA

Inf TR Hg (ng/L) VS Inf Sample Date2

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c2 c4 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Inf Sample Date2, Inf TSS (mg/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median 

Inf Sample Date2 37 0 38327 53.3 324 37831 38035 38322 

Inf TSS (mg/L) 37 0 202.03 8.99 54.70 89.00 177.00 196.00 

Variable Q3 Maximum 

Inf Sample Date2 38612 38873 

Inf TSS (mg/L) 221.00 422.00 

 

Data Display 

S_TAU -69.0000 

VAR_S 5841.00 

Z_S -0.889744 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A -0.103604 0.373603 

 2 KENDALL'S TAU_B -0.103995 0.373603 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 
Appendix C 

305 

 1 1010.24 -0.0701754 -0.0212473 0.0254545 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Inf Sample Date2

Inf TSS (mg/L)

38000 38250 38500 38750 39000

450

400

350

300

250

200

150

100

SLR

THEIL

LINE

.

..

DATA

Inf TSS (mg/L) VS Inf Sample Date2

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c4 c3 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Inf TSS (mg/L), Inf TR Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median 

Inf TSS (mg/L) 37 0 202.03 8.99 54.70 89.00 177.00 196.00 

Inf TR Hg (ng/L 37 0 281.0 54.7 332.8 56.0 126.5 185.0 

Variable Q3 Maximum 

Inf TSS (mg/L) 221.00 422.00 

Inf TR Hg (ng/L 310.0 2040.0 

 

Data Display 

S_TAU 128.000 

VAR_S 5838.02 

Z_S 1.66215 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.192192 0.0964822 

 2 KENDALL'S TAU_B 0.193354 0.0964822 
Appendix C 

306 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 55.3271 -0.0930931 0.661596 1.70968 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Inf TSS (mg/L)

Inf TR Hg (ng/L)

100 150 200 250 300 350 400 450

2000

1500

1000

500

0

SLR

THEIL

LINE

.

..

DATA

Inf TR Hg (ng/L) VS Inf TSS (mg/L)

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c6 c7 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Eff Sample Date2, Eff TR Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Eff Sample Date2 36 1 38333 54.5 327 37832 38029 38343 38621 

Eff TR Hg (ng/L) 37 0 30.48 5.47 33.30 10.40 15.65 20.20 31.35 

Variable Maximum 

Eff Sample Date2 38874 

Eff TR Hg (ng/L) 205.00 

 

Data Display 

S_TAU -44.0000 

VAR_S 5388.00 

Z_S -0.585807 

 
Appendix C 

307 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A -0.0698413 0.558005 

 2 KENDALL'S TAU_B -0.0699524 0.558005 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 98.5241 -0.0111905 -0.0020492 0.0066667 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Eff Sample Date2

Eff TR Hg (ng/L)

38000 38250 38500 38750 39000

200

150

100

50

0

SLR

THEIL

LINE

.

..

DATA

Eff TR Hg (ng/L) VS Eff Sample Date2

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c6 c10 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Eff Sample Date2, Eff TSS (mg/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Eff Sample Date2 36 1 38333 54.5 327 37832 38029 38343 38621 

Eff TSS (mg/L) 37 0 8.551 0.694 4.222 3.000 6.450 7.500 9.775 

Variable Maximum 

Eff Sample Date2 38874 

Eff TSS (mg/L) 29.000 

 

Data Display 
Appendix C 

308 

S_TAU -81.0000 

VAR_S 5359.00 

Z_S -1.09282 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A -0.128571 0.274473 

 2 KENDALL'S TAU_B -0.130769 0.274473 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 60.5040 -0.0040466 -0.0013837 0.0011869 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Eff Sample Date2

Eff TSS (mg/L)

38000 38250 38500 38750 39000

30

25

20

15

10

5

0

SLR

THEIL

LINE

.

..

DATA

Eff TSS (mg/L) VS Eff Sample Date2

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > % ktau c12 c13 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Biosolids Sample Date2, Biosolids Hg (mg/kg) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Biosolids Sample 37 0 38327 53.2 324 37831 38036 38322 38612 

Biosolids Hg (mg 37 0 1.483 0.295 1.796 0.157 0.787 1.040 1.390 

Variable Maximum 

Biosolids Sample 38873 
Appendix C 

309 

Biosolids Hg (mg 9.150 

 

Data Display 

S_TAU -15.0000 

VAR_S 5841.00 

Z_S -0.183183 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A -0.0225225 0.854655 

 2 KENDALL'S TAU_B -0.0226075 0.854655 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 3.55756 -0.0005306 -0.0000657 0.0004918 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Biosolids Sample Date2

Biosolids Hg (mg/kg)

38000 38250 38500 38750 39000

9

8

7

6

5

4

3

2

1

0

SLR

THEIL

LINE

.

..

DATA

Biosolids Hg (mg/kg) VS Biosolids Sample Date2

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c3 c7 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Inf TR Hg (ng/L), Eff TR Hg (ng/L) 
Appendix C 

310 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Inf TR Hg (ng/L 37 0 281.0 54.7 332.8 56.0 126.5 185.0 310.0 

Eff TR Hg (ng/L) 37 0 30.48 5.47 33.30 10.40 15.65 20.20 31.35 

Variable Maximum 

Inf TR Hg (ng/L 2040.0 

Eff TR Hg (ng/L) 205.00 

 

Data Display 

S_TAU 101.000 

VAR_S 5841.01 

Z_S 1.30845 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.151652 0.190722 

 2 KENDALL'S TAU_B 0.152223 0.190722 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 18.7503 -0.0078947 0.0078364 0.0348889 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Inf TR Hg (ng/L)

Eff TR Hg (ng/L)

0 500 1000 1500 2000

200

150

100

50

0

SLR

THEIL

LINE

.

..

DATA

Eff TR Hg (ng/L) VS Inf TR Hg (ng/L)

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c4 c7 
Appendix C 

311 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Inf TSS (mg/L), Eff TR Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median 

Inf TSS (mg/L) 37 0 202.03 8.99 54.70 89.00 177.00 196.00 

Eff TR Hg (ng/L) 37 0 30.48 5.47 33.30 10.40 15.65 20.20 

Variable Q3 Maximum 

Inf TSS (mg/L) 221.00 422.00 

Eff TR Hg (ng/L) 31.35 205.00 

 

Data Display 

S_TAU 154.000 

VAR_S 5839.02 

Z_S 2.00227 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.231231 0.0452562 

 2 KENDALL'S TAU_B 0.232453 0.0452562 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 10.7626 0 0.0481501 0.163529 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 
Appendix C 

312 

Inf TSS (mg/L)

Eff TR Hg (ng/L)

100 150 200 250 300 350 400 450

200

150

100

50

0

SLR

THEIL

LINE

.

..

DATA

Eff TR Hg (ng/L) VS Inf TSS (mg/L)

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c10 c7 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Eff TSS (mg/L), Eff TR Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Eff TSS (mg/L) 37 0 8.551 0.694 4.222 3.000 6.450 7.500 9.775 

Eff TR Hg (ng/L) 37 0 30.48 5.47 33.30 10.40 15.65 20.20 31.35 

Variable Maximum 

Eff TSS (mg/L) 29.000 

Eff TR Hg (ng/L) 205.00 

 

Data Display 

S_TAU 88.0000 

VAR_S 5812.07 

Z_S 1.14118 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.132132 0.253795 

 2 KENDALL'S TAU_B 0.134572 0.253795 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 
Appendix C 

313 

 1 16.0542 -0.285714 0.552778 1.90323 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Eff TSS (mg/L)

Eff TR Hg (ng/L)

0 5 10 15 20 25 30

200

150

100

50

0

SLR

THEIL

LINE

.

..

DATA

Eff TR Hg (ng/L) VS Eff TSS (mg/L)

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c9 c7 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Eff Turbidity (NTU), Eff TR Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Eff Turbidity (N 34 3 5.347 0.333 1.939 3.100 4.068 5.015 6.125 

Eff TR Hg (ng/L) 37 0 30.48 5.47 33.30 10.40 15.65 20.20 31.35 

Variable Maximum 

Eff Turbidity (N 12.700 

Eff TR Hg (ng/L) 205.00 

 

Data Display 

S_TAU 89.0000 

VAR_S 4546.34 

Z_S 1.30512 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.158645 0.191851 

 2 KENDALL'S TAU_B 0.159213 0.191851 
Appendix C 

314 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 11.7714 -0.519031 1.69065 5.52901 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Eff Turbidity (NTU)

Eff TR Hg (ng/L)

2 4 6 8 10 12 14

200

150

100

50

0

SLR

THEIL

LINE

.

..

DATA

Eff TR Hg (ng/L) VS Eff Turbidity (NTU)

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c9 c10 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Eff Turbidity (NTU), Eff TSS (mg/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Eff Turbidity (N 34 3 5.347 0.333 1.939 3.100 4.068 5.015 6.125 

Eff TSS (mg/L) 37 0 8.551 0.694 4.222 3.000 6.450 7.500 9.775 

Variable Maximum 

Eff Turbidity (N 12.700 

Eff TSS (mg/L) 29.000 

 

Data Display 

S_TAU 213.000 

VAR_S 4516.41 

Z_S 3.15456 

 
Appendix C 

315 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.379679 0.0016074 

 2 KENDALL'S TAU_B 0.388043 0.0016074 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 2.95 0.317460 0.847458 1.6 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Eff Turbidity (NTU)

Eff TSS (mg/L)

2 4 6 8 10 12 14

30

25

20

15

10

5

0

SLR

THEIL

LINE

.

..

DATA

Eff TSS (mg/L) VS Eff Turbidity (NTU)

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c6 c9 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Eff Sample Date2, Eff Turbidity (NTU) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Eff Sample Date2 36 1 38333 54.5 327 37832 38029 38343 38621 

Eff Turbidity (N 34 3 5.347 0.333 1.939 3.100 4.068 5.015 6.125 

Variable Maximum 

Eff Sample Date2 38874 

Eff Turbidity (N 12.700 

 

Data Display 
Appendix C 

316 

S_TAU 110.000 

VAR_S 4163.33 

Z_S 1.68930 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.208333 0.0911626 

 2 KENDALL'S TAU_B 0.208729 0.0911626 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 -52.0888 -0.0004359 0.0014865 0.0033844 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Eff Sample Date2

Eff Turbidity (NTU)

38000 38250 38500 38750 39000

14

12

10

8

6

4

2

SLR

THEIL

LINE

.

..

DATA

Eff Turbidity (NTU) VS Eff Sample Date2

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c3 c8 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Inf TR Hg (ng/L), Eff Dissolved Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Inf TR Hg (ng/L 37 0 281.0 54.7 332.8 56.0 126.5 185.0 310.0 

Eff Dissolved Hg 15 22 8.41 1.28 4.94 2.10 4.32 6.40 11.50 

Variable Maximum 
Appendix C 

317 

Inf TR Hg (ng/L 2040.0 

Eff Dissolved Hg 19.80 

 

Data Display 

S_TAU -14.0000 

VAR_S 407.333 

Z_S -0.644122 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A -0.133333 0.519496 

 2 KENDALL'S TAU_B -0.133973 0.519496 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 8.05584 -0.0242424 -0.00632 0.0161111 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Inf TR Hg (ng/L)

Eff Dissolved Hg (ng/L)

100 200 300 400 500 600

20

15

10

5

0

SLR

THEIL

LINE

.

..

DATA

Eff Dissolved Hg (ng/L) VS Inf TR Hg (ng/L)

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c4 c8 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Inf TSS (mg/L), Eff Dissolved Hg (ng/L) 
Appendix C 

318 

Variable N N* Mean SE Mean StDev Minimum Q1 Median 

Inf TSS (mg/L) 37 0 202.03 8.99 54.70 89.00 177.00 196.00 

Eff Dissolved Hg 15 22 8.41 1.28 4.94 2.10 4.32 6.40 

Variable Q3 Maximum 

Inf TSS (mg/L) 221.00 422.00 

Eff Dissolved Hg 11.50 19.80 

 

Data Display 

S_TAU 5.00000 

VAR_S 408.333 

Z_S 0.197949 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.0476190 0.843085 

 2 KENDALL'S TAU_B 0.0476190 0.843085 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 5.77443 -0.0476364 0.0029508 0.118605 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Inf TSS (mg/L)

Eff Dissolved Hg (ng/L)

100 150 200 250 300 350 400 450

20

15

10

5

0

SLR

THEIL

LINE

.

..

DATA

Eff Dissolved Hg (ng/L) VS Inf TSS (mg/L)

SEN-THEIL-KENDALL LINE

SLR LINE
Appendix C 

319 

MTB > %ktau c7 c8 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Eff TR Hg (ng/L), Eff Dissolved Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Eff TR Hg (ng/L) 37 0 30.48 5.47 33.30 10.40 15.65 20.20 31.35 

Eff Dissolved Hg 15 22 8.41 1.28 4.94 2.10 4.32 6.40 11.50 

Variable Maximum 

Eff TR Hg (ng/L) 205.00 

Eff Dissolved Hg 19.80 

 

Data Display 

S_TAU 49.0000 

VAR_S 408.333 

Z_S 2.37538 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.466667 0.0175307 

 2 KENDALL'S TAU_B 0.466667 0.0175307 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 2.73204 0.0809735 0.200435 0.428571 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 
Appendix C 

320 

Eff TR Hg (ng/L)

Eff Dissolved Hg (ng/L)

10 20 30 40 50 60 70 80

20

15

10

5

0

SLR

THEIL

LINE

.

..

DATA

Eff Dissolved Hg (ng/L) VS Eff TR Hg (ng/L)

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c10 c8 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Eff TSS (mg/L), Eff Dissolved Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Eff TSS (mg/L) 37 0 8.551 0.694 4.222 3.000 6.450 7.500 9.775 

Eff Dissolved Hg 15 22 8.41 1.28 4.94 2.10 4.32 6.40 11.50 

Variable Maximum 

Eff TSS (mg/L) 29.000 

Eff Dissolved Hg 19.80 

 

Data Display 

S_TAU 26.0000 

VAR_S 398.667 

Z_S 1.25209 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.247619 0.210538 

 2 KENDALL'S TAU_B 0.256310 0.210538 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 
Appendix C 

321 

 1 4.86 -0.12 0.22 1.04667 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Eff TSS (mg/L)

Eff Dissolved Hg (ng/L)

0 5 10 15 20 25 30

20

15

10

5

0

SLR

THEIL

LINE

.

..

DATA

Eff Dissolved Hg (ng/L) VS Eff TSS (mg/L)

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c9 c8 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Eff Turbidity (NTU), Eff Dissolved Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Eff Turbidity (N 34 3 5.347 0.333 1.939 3.100 4.068 5.015 6.125 

Eff Dissolved Hg 15 22 8.41 1.28 4.94 2.10 4.32 6.40 11.50 

Variable Maximum 

Eff Turbidity (N 12.700 

Eff Dissolved Hg 19.80 

 

Data Display 

S_TAU 39.0000 

VAR_S 333.667 

Z_S 2.08031 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.428571 0.0374975 

 2 KENDALL'S TAU_B 0.428571 0.0374975 
Appendix C 

322 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 -3.39947 0.142857 2.10291 4.5625 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Eff Turbidity (NTU)

Eff Dissolved Hg (ng/L)

2 4 6 8 10 12 14

25

20

15

10

5

0

SLR

THEIL

LINE

.

..

DATA

Eff Dissolved Hg (ng/L) VS Eff Turbidity (NTU)

SEN-THEIL-KENDALL LINE

SLR LINE

MTB > %ktau c6 c8 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Eff Sample Date2, Eff Dissolved Hg (ng/L) 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Eff Sample Date2 36 1 38333 54.5 327 37832 38029 38343 38621 

Eff Dissolved Hg 15 22 8.41 1.28 4.94 2.10 4.32 6.40 11.50 

Variable Maximum 

Eff Sample Date2 38874 

Eff Dissolved Hg 19.80 

 

Data Display 

S_TAU 17.0000 

VAR_S 408.333 

Z_S 0.791795 

 
Appendix C 

323 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.161905 0.428480 

 2 KENDALL'S TAU_B 0.161905 0.428480 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 -183.830 -0.0065697 0.0049710 0.0154211 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 

Eff Sample Date2

Eff Dissolved Hg (ng/L)

37800 38000 38200 38400 38600 38800

20

15

10

5

0

SLR

THEIL

LINE

.

..

DATA

Eff Dissolved Hg (ng/L) VS Eff Sample Date2

SEN-THEIL-KENDALL LINE

SLR LINE
Appendix C 

324 

Dentists per Flow

Results for: 4.5A 

MTB > %ktau3 c3 c2 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau3.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Dentist per MGD, Median Influent Mercury Concent 

Variable N N* Mean SE Mean StDev Minimum Q1 Median 

Dentist per MGD 47 0 5.337 0.660 4.523 0.643 2.380 3.333 

Median Influent 47 0 126.10 8.51 58.37 33.45 80.00 120.00 

Variable Q3 Maximum 

Dentist per MGD 5.882 17.073 

Median Influent 161.00 246.50 

 

Data Display 

S_TAU 434.000 

VAR_S 11866.7 

Z_S 3.97487 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.401480 0.0000704 

 2 KENDALL'S TAU_B 0.405428 0.0000704

 

Data Display 

Row INTRCPT_ LWR95 SLOPE_ UPPR95 

 1 92.3174 5.23973 8.30477 10.9172 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 
Appendix C 

325 

 

SCATTER PLOT 

Dentist per MGD

Median Influent Mercury Concent

0 2 4 6 8 10 12 14 16 18

250

200

150

100

50

SLR

THEIL

LINE

.

..

DATA

Median Influent Mercury Concent VS Dentist per MGD

SEN-THEIL-KENDALL LINE

SLR LINE
Appendix C 

326 

Results for: 4.5B 

MTB > %ktau3 c3 c2 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau3.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Dentist per MGD, Median Effluent Mercury Concent 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Dentist per MGD 47 0 5.337 0.660 4.523 0.643 2.380 3.333 5.882 

Median Effluent 47 0 6.76 1.15 7.86 1.87 2.45 3.10 7.40 

Variable Maximum 

Dentist per MGD 17.073 

Median Effluent 45.15 

 

Data Display 

S_TAU 338.000 

VAR_S 11866.7 

Z_S 3.09360 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.312673 0.0019774 

 2 KENDALL'S TAU_B 0.315748 0.0019774

 

Data Display 

Row INTRCPT_ LWR95 SLOPE_ UPPR95 

 1 1.48284 0.128028 0.485149 0.912371 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 
Appendix C 

327 

 

SCATTER PLOT 

Dentist per MGD

Median Effluent Mercury Concent

0 2 4 6 8 10 12 14 16 18

50

40

30

20

10

0

SLR

THEIL

LINE

.

..

DATA

Median Effluent Mercury Concent VS Dentist per MGD

SEN-THEIL-KENDALL LINE

SLR LINE
Appendix C 

328 

Results for: 4.5C 

MTB > %ktau3 c3 c2 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau3.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Dentist per MGD, Median Biosolids Mercury Concen 

Variable N N* Mean SE Mean StDev Minimum Q1 Median 

Dentist per MGD 47 0 5.337 0.660 4.523 0.643 2.380 3.333 

Median Biosolids 47 0 0.8299 0.0609 0.4177 0.1225 0.5430 0.8355 

Variable Q3 Maximum 

Dentist per MGD 5.882 17.073 

Median Biosolids 1.0750 2.2385 

 

Data Display 

S_TAU 170.000 

VAR_S 11866.7 

Z_S 1.55139 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.157262 0.120808 

 2 KENDALL'S TAU_B 0.158808 0.120808

 

Data Display 

Row INTRCPT_ LWR95 SLOPE_ UPPR95 

 1 0.774886 -0.0046393 0.0181841 0.0506811 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 
Appendix C 

329 

 

SCATTER PLOT 

Dentist per MGD

Median Biosolids Mercury Concen

0 2 4 6 8 10 12 14 16 18

2.5

2.0

1.5

1.0

0.5

0.0

SLR

THEIL

LINE

.

..

DATA

Median Biosolids Mercury Concen VS Dentist per MGD

SEN-THEIL-KENDALL LINE

SLR LINE
Appendix C 

330 

Number of Dentists without Separators per Flow

Results for: 4.6A 

MTB > %ktau3 c3 c2 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau3.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Number of Dentis, Median Influent 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Number of Dentis 35 0 1.330 0.275 1.626 0.000 0.000 0.604 2.487 

Median Influent 35 0 118.3 10.1 59.7 33.5 67.9 119.0 156.0 

Variable Maximum 

Number of Dentis 4.900 

Median Influent 246.5 

 

Data Display 

S_TAU 18.0000 

VAR_S 4741.90 

Z_S 0.246873 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.0302521 0.805007 

 2 KENDALL'S TAU_B 0.0321988 0.805007 

 

Data Display 

Row INTRCPT_ LWR95 SLOPE_ UPPR95 

 1 119 -8.84063 0 8.46834 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 
Appendix C 

331 

 

SCATTER PLOT 

Number of Dentists without Sepa

Median Influent Mercury Concent

0 1 2 3 4 5

250

200

150

100

50

SLR

THEIL

LINE

.

..

DATA

Median Influent Mercury Concent VS Number of Dentists without Sepa

SEN-THEIL-KENDALL LINE

SLR LINE
Appendix C 

332 

Results for: 4.6B 

MTB > %ktau3 c3 c2 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau3.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Number of Dentis, Median Effluent 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Number of Dentis 35 0 1.330 0.275 1.626 0.000 0.000 0.604 2.487 

Median Effluent 35 0 4.429 0.533 3.155 1.870 2.350 2.800 5.700 

Variable Maximum 

Number of Dentis 4.900 

Median Effluent 12.250 

 

Data Display 

S_TAU -197.000 

VAR_S 4741.90 

Z_S -2.84630 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A -0.331092 0.0044231 

 2 KENDALL'S TAU_B -0.352398 0.0044231

 

Data Display 

Row INTRCPT_ LWR95 SLOPE_ UPPR95 

 1 2.92739 -0.699563 -0.210818 0 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 
Appendix C 

333 

 

SCATTER PLOT 

Number of Dentists without Sepa

Median Effluent Mercury Concent

0 1 2 3 4 5

12

10

8

6

4

2

SLR

THEIL

LINE

.

..

DATA

Median Effluent Mercury Concent VS Number of Dentists without Sepa

SEN-THEIL-KENDALL LINE

SLR LINE
Appendix C 

334 

Results for: 4.6C 

MTB > %ktau3 c3 c2 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau3.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Number of Dentis, Median Biosolids 

Variable N N* Mean SE Mean StDev Minimum Q1 Median 

Number of Dentis 35 0 1.330 0.275 1.626 0.000 0.000 0.604 

Median Biosolids 35 0 0.7537 0.0753 0.4453 0.1225 0.4200 0.6200 

Variable Q3 Maximum 

Number of Dentis 2.487 4.900 

Median Biosolids 0.9950 2.2385 

 

Data Display 

S_TAU 255.000 

VAR_S 4741.90 

Z_S 3.68857 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.428571 0.0002255 

 2 KENDALL'S TAU_B 0.456150 0.0002255

 

Data Display 

Row INTRCPT_ LWR95 SLOPE_ UPPR95 

 1 0.535615 0.0520695 0.139645 0.2067 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 
Appendix C 

335 

 

SCATTER PLOT 

Number of Dentists without Sepa

Median Biosolids Mercury Concen

0 1 2 3 4 5

2.5

2.0

1.5

1.0

0.5

0.0

SLR

THEIL

LINE

.

..

DATA

Median Biosolids Mercury Concen VS Number of Dentists without Sepa

SEN-THEIL-KENDALL LINE

SLR LINE
Appendix C 

336 

Average Plant Flow

Results for: 4.7A 

MTB > %ktau3 c3 c2 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau3.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Average Plant Fl, Median Influent 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Average Plant Fl 12 0 58.42 9.47 32.82 3.00 35.75 48.00 94.25 

Median Influent 12 0 119.2 12.7 44.0 49.8 81.1 119.5 154.8 

Variable Maximum 

Average Plant Fl 102.00 

Median Influent 185.0 

 

Data Display 

S_TAU 5.00000 

VAR_S 211.667 

Z_S 0.274937 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.0757576 0.783364 

 2 KENDALL'S TAU_B 0.0763381 0.783364

 

Data Display 

Row INTRCPT_ LWR95 SLOPE_ UPPR95 

 1 118.019 -0.790698 0.0306122 1.34921 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 
Appendix C 

337 

 

SCATTER PLOT 

Average Plant Flow, MGD

Median Influent Mercury Concent

0 20 40 60 80 100

200

175

150

125

100

75

50

SLR

THEIL

LINE

.

..

DATA

Median Influent Mercury Concent VS Average Plant Flow, MGD

SEN-THEIL-KENDALL LINE

SLR LINE
Appendix C 

338 

Results for: 4.7B 

MTB > %ktau3 c3 c2 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau3.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Average Flow, Median Biosolids Mercury Concen 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Average Flow 12 0 58.42 9.47 32.82 3.00 35.75 48.00 94.25 

Median Biosolids 12 0 0.902 0.113 0.393 0.320 0.453 1.020 1.200 

Variable Maximum 

Average Flow 102.00 

Median Biosolids 1.400 

 

Data Display 

S_TAU 20.0000 

VAR_S 210.682 

Z_S 1.30900 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.303030 0.190534 

 2 KENDALL'S TAU_B 0.307692 0.190534 

 

Data Display 

Row INTRCPT_ LWR95 SLOPE_ UPPR95 

 1 0.7064 -0.0026610 0.0065333 0.0141333 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 
Appendix C 

339 

 

SCATTER PLOT 

Average Flow

Median Biosolids Mercury Concen

0 20 40 60 80 100

1.50

1.25

1.00

0.75

0.50

SLR

THEIL

LINE

.

..

DATA

Median Biosolids Mercury Concen VS Average Flow

SEN-THEIL-KENDALL LINE

SLR LINE
Appendix C 

340 

Results for: 4.7C 

MTB > %ktau3 c3 c2 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau3.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Average Plant Fl, Median Effluent 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Average Plant Fl 12 0 58.42 9.47 32.82 3.00 35.75 48.00 94.25 

Median Effluent 12 0 5.55 1.53 5.31 1.85 2.17 2.88 7.55 

Variable Maximum 

Average Plant Fl 102.00 

Median Effluent 20.20 

 

Data Display 

S_TAU -7.00000 

VAR_S 211.667 

Z_S -0.412406 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A -0.106061 0.680042 

 2 KENDALL'S TAU_B -0.106873 0.680042 

 

Data Display 

Row INTRCPT_ LWR95 SLOPE_ UPPR95 

 1 3.21936 -0.078125 -0.0070180 0.0833333 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 
Appendix C 

341 

 

SCATTER PLOT 

Average Plant Flow, MGD

Median Effluent Mercury Concent

0 20 40 60 80 100

20

15

10

5

0

SLR

THEIL

LINE

.

..

DATA

Median Effluent Mercury Concent VS Average Plant Flow, MGD

SEN-THEIL-KENDALL LINE

SLR LINE
Appendix C 

342 

Non-Industrial Flow

Results for: 4.8A 

MTB > %ktau c3 c2 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: % Non-Industrial Flow, Median Influent Mercury Concent 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

% Non-Industrial 9 0 89.44 5.33 16.00 48.00 89.00 96.00 97.50 

Median Influent 9 0 123.5 15.4 46.2 49.8 81.2 130.0 161.3 

Variable Maximum 

% Non-Industrial 99.00 

Median Influent 185.0 

 

Data Display 

S_TAU 13.0000 

VAR_S 91.0000 

Z_S 1.25794 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.361111 0.208413 

 2 KENDALL'S TAU_B 0.366234 0.208413 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 -59.9545 -2.9 1.97869 11.5833 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 
Appendix C 

343 

% Non-Industrial Flow

Median Influent Mercury Concent

50 60 70 80 90 100

200

175

150

125

100

75

50

SLR

THEIL

LINE

.

..

DATA

Median Influent Mercury Concent VS % Non-Industrial Flow

SEN-THEIL-KENDALL LINE

SLR LINE
Appendix C 

344 

Results for: 4.8B 

MTB > %ktau c3 c2 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: % Non-Industrial Flow, Median Effluent Mercury Concent 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

% Non-Industrial 9 0 89.44 5.33 16.00 48.00 89.00 96.00 97.50 

Median Effluent 9 0 6.68 1.91 5.74 2.10 2.42 5.60 8.60 

Variable Maximum 

% Non-Industrial 99.00 

Median Effluent 20.20 

 

Data Display 

S_TAU 21.0000 

VAR_S 91.0000 

Z_S 2.09657 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.583333 0.0360317 

 2 KENDALL'S TAU_B 0.591608 0.0360317 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 -36.3079 0.0154762 0.436540 1.48 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 
Appendix C 

345 

% Non-Industrial Flow

Median Effluent Mercury Concent

50 60 70 80 90 100

20

10

0

-10

-20

SLR

THEIL

LINE

.

..

DATA

Median Effluent Mercury Concent VS % Non-Industrial Flow

SEN-THEIL-KENDALL LINE

SLR LINE
Appendix C 

346 

Results for: 4.8C 

MTB > %ktau c3 c2 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: % Non-Industrial Flow, Median Biosolids Mercury Concen 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

% Non-Industrial 9 0 89.44 5.33 16.00 48.00 89.00 96.00 97.50 

Median Biosolids 9 0 0.936 0.133 0.400 0.320 0.502 1.040 1.279 

Variable Maximum 

% Non-Industrial 99.00 

Median Biosolids 1.400 

 

Data Display 

S_TAU 17.0000 

VAR_S 91.0000 

Z_S 1.67726 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.472222 0.0934925 

 2 KENDALL'S TAU_B 0.478921 0.0934925 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 -0.867899 -0.0075 0.0198739 0.1285 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 
Appendix C 

347 

% Non-Industrial Flow

Median Biosolids Mercury Concen

50 60 70 80 90 100

1.4

1.2

1.0

0.8

0.6

0.4

0.2

0.0

SLR

THEIL

LINE

.

..

DATA

Median Biosolids Mercury Concen VS % Non-Industrial Flow

SEN-THEIL-KENDALL LINE

SLR LINE
Appendix C 

348 

Results for: 4.8D 

MTB > %ktau c3 c2 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: % Non-Industrial Flow, Median Influent Mercury Concent 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

% Non-Industrial 6 0 86.83 7.87 19.27 48.00 79.50 94.00 97.25 

Median Influent 6 0 139.8 17.4 42.5 70.0 99.2 153.3 172.6 

Variable Maximum 

% Non-Industrial 98.00 

Median Influent 185.0 

 

Data Display 

S_TAU 11.0000 

VAR_S 28.3333 

Z_S 1.87867 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.733333 0.0602892 

 2 KENDALL'S TAU_B 0.733333 0.0602892 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 -62.95 -2.9 2.3 29.7612 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 
Appendix C 

349 

% Non-Industrial Flow

Median Influent Mercury Concent

50 60 70 80 90 100

200

175

150

125

100

75

50

SLR

THEIL

LINE

.

..

DATA

Median Influent Mercury Concent VS % Non-Indust. Flow (Separate)

SEN-THEIL-KENDALL LINE

SLR LINE
Appendix C 

350 

Results for: 4.8E 

MTB > %ktau c3 c2 

Saving file as: '\\fileserv\Homes\andersos\My Documents\Mercury\NACWA 

project\Biosolids Hg vs % Non-industrial Flow.mgf' 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: % Non-Industrial Flow, Median Effluent Mercury Concent 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

% Non-Industrial 6 0 86.83 7.87 19.27 48.00 79.50 94.00 97.25 

Median Effluent 6 0 6.86 2.81 6.88 2.10 2.36 4.35 10.83 

Variable Maximum 

% Non-Industrial 98.00 

Median Effluent 20.20 

 

Data Display 

S_TAU 11.0000 

VAR_S 28.3333 

Z_S 1.87867 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.733333 0.0602892 

 2 KENDALL'S TAU_B 0.733333 0.0602892 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 -57.4214 -0.0079545 0.657143 7.3 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 
Appendix C 

351 

% Non-Industrial Flow

Median Effluent Mercury Concent

50 60 70 80 90 100

20

10

0

-10

-20

-30

SLR

THEIL

LINE

.

..

DATA

Median Effluent Mercury Concent VS % Non-Indust. Flow (Separate)

SEN-THEIL-KENDALL LINE

SLR LINE
Appendix C 

352 

Results for: 4.8F 

MTB > %ktau c3 c2 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: % Non-Industrial Flow, Median Biosolids Mercury Concen 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

% Non-Industrial 6 0 86.83 7.87 19.27 48.00 79.50 94.00 97.25 

Median Biosolids 6 0 0.904 0.177 0.434 0.320 0.383 1.070 1.239 

Variable Maximum 

% Non-Industrial 98.00 

Median Biosolids 1.357 

 

Data Display 

S_TAU 3.00000 

VAR_S 28.3333 

Z_S 0.375735 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.2 0.707114 

 2 KENDALL'S TAU_B 0.2 0.707114 

 

Data Display 

Row INTRCPT_ LOWER95 SLOPE_ UPPER95 

 1 -0.272857 -0.16 0.0142857 0.318 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 

 

SCATTER PLOT 
Appendix C 

353 

% Non-Industrial Flow

Median Biosolids Mercury Concen

50 60 70 80 90 100

1.50

1.25

1.00

0.75

0.50

SLR

THEIL

LINE

.

..

DATA

Median Biosolids Mercury Concen VS % Non-Indust. Flow (Separate)

SEN-THEIL-KENDALL LINE

SLR LINE

Population Density

Results for: 4.12A 

MTB > %ktau3 c3 c2 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau3.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Persons per mi2, Median Influent Mercury Concent 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Persons per mi2 12 0 3433 519 1798 1375 2238 2960 3825 

Median Influent 12 0 119.2 12.7 44.0 49.8 81.1 119.5 154.8 

Variable Maximum 

Persons per mi2 7335 

Median Influent 185.0 

 

Data Display 

S_TAU -14.0000 

VAR_S 210.667 

Z_S -0.895665 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 
Appendix C 

354 

 1 KENDALL'S TAU_A -0.212121 0.370432 

 2 KENDALL'S TAU_B -0.215410 0.370432

 

Data Display 

Row INTRCPT_ LWR95 SLOPE_ UPPR95 

 1 145.462 -0.0219298 -0.0087747 0.0132850 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 
Appendix C 

355 

 

SCATTER PLOT 

Persons per mi2

Median Influent Mercury Concent

1000 2000 3000 4000 5000 6000 7000 8000

200

175

150

125

100

75

50

SLR

THEIL

LINE

.

..

DATA

Median Influent Mercury Concent VS Persons per mi2

SEN-THEIL-KENDALL LINE

SLR LINE
Appendix C 

356 

Results for: 4.12B 

MTB > %ktau3 c3 c2 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau3.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Persons per mi2, Median Effluent Mercury Concent 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Persons per mi2 12 0 3433 519 1798 1375 2238 2960 3825 

Median Effluent 12 0 5.55 1.53 5.31 1.85 2.17 2.88 7.55 

Variable Maximum 

Persons per mi2 7335 

Median Effluent 20.20 

 

Data Display 

S_TAU 12.0000 

VAR_S 210.667 

Z_S 0.757870 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A 0.181818 0.448529 

 2 KENDALL'S TAU_B 0.184637 0.448529 

 

Data Display 

Row INTRCPT_ LWR95 SLOPE_ UPPR95 

 1 2.42110 -0.0004040 0.0001559 0.0033914 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 
Appendix C 

357 

 

SCATTER PLOT 

Persons per mi2

Median Effluent Mercury Concent

1000 2000 3000 4000 5000 6000 7000 8000

20

15

10

5

0

SLR

THEIL

LINE

.

..

DATA

Median Effluent Mercury Concent VS Persons per mi2

SEN-THEIL-KENDALL LINE

SLR LINE
Appendix C 

358 

Results for: 4.12C 

MTB > %ktau3 c3 c2 

Executing from file: C:\Program Files\MINITAB 14\MACROS\ktau3.MAC 

Executing from file: C:\Program Files\MINITAB 14\MACROS\TIESBOTH.MAC 

 

Descriptive Statistics: Persons per mi2, Median Biosolids Mercury Concen 

Variable N N* Mean SE Mean StDev Minimum Q1 Median Q3 

Persons per mi2 12 0 3253 447 1548 1375 2238 2960 3825 

Median Biosolids 12 0 0.902 0.113 0.393 0.320 0.453 1.020 1.200 

Variable Maximum 

Persons per mi2 7357 

Median Biosolids 1.400 

 

Data Display 

S_TAU -3.00000 

VAR_S 209.697 

Z_S -0.138113 

 

Data Display 

Row CORRTYPE CORR_VAL P_VALUE 

 1 KENDALL'S TAU_A -0.0454545 0.890151 

 2 KENDALL'S TAU_B -0.0465130 0.890151 

 

Data Display 

Row INTRCPT_ LWR95 SLOPE_ UPPR95 

 1 1.03993 -0.0001507 -0.0000067 0.0003520 

 **** APPROXIMATE 95% CONFIDENCE INTERVAL ON THE SLOPE*** 
Appendix C 

359 

 

SCATTER PLOT 

Persons per mi2

Median Biosolids Mercury Concen

1000 2000 3000 4000 5000 6000 7000 8000

1.50

1.25

1.00

0.75

0.50

SLR

THEIL

LINE

.

..

DATA

Median Biosolids Mercury Concen VS Persons per mi2

SEN-THEIL-KENDALL LINE

SLR LINE
APPENDIX D: STUDY PLAN
 361

1.0 SCOPE OF WORK

The effect of practical and reasonable measures of controlling significant sources

of mercury to the POTW collection system on ability of POTWs to comply with

anticipated effluent limitations will be studied. Dental offices are thought to be a

significant source of mercury to the wastewater. One key factor that may affect

removal process and resulting effluent mercury concentration is whether the

mercury is in the dissolved or particulate form. Most of the particulates are

expected to settle in the collection system or be removed during treatment

processes. The dissolved form is expected to pass through the treatment system,

impacting effluent concentrations.

This study presents an opportunity to build a database depicting baseline levels

and trends that may occur as the mercury control programs progress. The study

design should allow us to determine the potential for environmental benefit and

compliance attainability.

Influents, effluents and biosolids from five POTWs in the United States and

Canada already having implemented regulations requiring dental clinics to install

amalgam removal equipment will be evaluated on the monthly basis over the

three year period. One POTW that does not have this regulatory requirement will

be used as the control site.

Total recoverable mercury and Total Suspended Solids analyses will be

performed on the monthly basis on all influent and effluent samples. For the first

quarter of the study additional dissolved mercury analyses will be performed to

establish specific ratios of particulate and dissolved forms for each POTW. For

the remainder of the study, dissolved mercury will be performed as a check, on

the quarterly basis, however the frequency may be increased if a major changes

are observed in a ratio of total and dissolved mercury in any of the participating

POTWs.

Biosolids samples will be analyzed on a monthly basis for total recoverable

mercury, and Total Solids.

Statistical evaluation of results, conclusions and study report will be prepared

upon completion of the study.

2.0 PLANT OPERATIONS

2.1 Plant Conditions

This study is designed to evaluate mercury concentrations during normal

plant operating conditions. Prior to the start of the study, each POTW will

provide monthly averages for the previous two years (24 monthly averages

total) of the following operational data:
362

• Effluent flow

• Total suspended solids

• Turbidity

HRSD will perform statistical evaluation of the data to establish 95 %

confidence intervals that reflect normal operating conditions. These

intervals will be used to ensure samples are collected during normal plant

operating conditions.

2.2 Flow Information

In order to facilitate approximate mass balance calculations, the following

information will be provided with each sample collected:

• Influent flows

• Effluent flows

• Sludge volumes

• Mean cell residence times

2.3 Septage/ Solids Handling

Since septage received by POTWs may have a significant impact on

mercury concentrations, participating facilities need to provide the

following information regarding septage and solids handing operations:

• Is septage accepted at the plant?

• Location septage is received at the plant in relation to the influent

sample point

• Approximate contribution of septage haulers in gallons

• Type of solids handing operations is used at the plant

3.0 SAMPLING

The following sampling information pertains to the collection of total recoverable

and dissolved mercury in influent/effluent samples and total recoverable mercury

in biosolids. Protocols for both grab and composite sampling are provided for

reference. Because of differences between each treatment facility operation,

either single or multiple grab, or composite samples could be collected throughout

the study. However, once the decision is made on sampling protocol, it is

preferable that the same protocol is used for the duration of the study to ensure

consistency in the data.

HRSD can provide all necessary support for clean sample collection, including

detailed instructions (SOPs) and rental, or purchase of the equipment. Facilities

are welcome to use either of these clean protocols or any other clean procedure

that will produce uncontaminated representative samples.
363

3.1 Sampling Equipment

3.1.1 Equipment Construction (grab/composite)

3.1.1.1 Samplers will be custom configured in a “closed sampler

design” using appropriate materials to reduce

contamination. This design significantly reduces

contamination issues by minimizing exposure to human

and atmospheric inputs.

3.1.1.2 HRSD can assemble sampling equipment specifically

designed for each individual sample location.

3.1.2 Sample Bottles

3.1.2.1 Only borosilicate glass sample bottles outfitted with special

fluoropolymer transfer caps will be used.

3.1.3 Sample Tubing

3.1.3.1 PFA Teflon tubing will be used for influent and effluent

sample collection.

3.1.3.2 Masterflex

®

#96410-15 silicon tubing will be used as

peristaltic sample pump tubing for grab and dissolved

mercury collection.

3.1.3.3 3/8” X 1⁄2” silicon tubing will be used for composite

sample collection.

3.1.4 Sample Pump

3.1.4.1 (dissolved/grab mercury) Only a Masterflex

®

portable

peristaltic pump model #07571-00 can be used for sample

collection. The sample bottles have been specifically

designed to work with this pump. The Masterflex

®

Pump

has a variable speed control to allow for dissolved filtering.

Though the flow through the filter should not exceed

500ml/minute, it can be set to the maximum pump speed

for total recoverable sampling.

3.1.4.2 (composite mercury) Almost any type of automated

composite sampler can be modified and used for clean

sampling, but HRSD’s protocols have been written for Isco

model 3700/3710.

3.1.5 Filter

3.1.5.1 Gelman # 28145-12 0.45 micron high capacity inline filter

will be used to determine dissolved Hg concentrations.

3.1.6 Equipment Rental/Purchase

3.1.6.1 HRSD can provide all field equipment necessary to collect

samples. Each facility will need three sets of equipment to

facilitate a rapid turn-around of clean equipment. A

reasonable rental charge will apply. Rental fees are

currently under development.
364

3.1.6.2 Participating facilities will have the option to purchase

equipment at cost instead of renting. Equipment costs will

be made available at a later date.

3.2 Clean Techniques for Sample Handling

A two-person crew will be necessary for sample collection. “Clean

hands”/ “dirty hands” techniques will be practiced. The individual

designated as clean hands only touches the clean sample bottles and

associated tubing. “Dirty hands” provides support through operating the

sample pump and lowering the pump tubing to the sample point.

3.3 Collection/Preservation

Influent/effluent samples can be collected as either a grab or composite.

When collecting grab samples, consideration should be given to the time

of day samples are collected (i.e. high flow/low flow) and the number of

grabs collected in a 24 hour period. Composite samples can either be time

weighted or flow proportional. Flow proportional samples typically

provide the most representative sample.

Samples will be shipped overnight to HRSD on ice where the laboratory

will preserve the sample. HRSD standard operating procedures (SOPs)

for the collection of clean grab mercury samples are included in Appendix

A. Clean composite procedures are provided in Appendix B.

3.3.1 Total Recoverable Mercury

3.3.1.1 One effluent and one influent sample will be collected

during each of the sampling events.

3.3.1.2 Samples will be double bagged and immediately place on

ice and kept at or below 4

oC.

3.3.2 Dissolved Mercury

3.3.2.1 One effluent and one influent sample will be collected

during each month of the first quarter of the study.

Sampling will be reduced to once per quarter (semiannual?) after this first round.

3.3.2.2 Samples for dissolved mercury will be filtered in-line

during grab sample collection. Composite samples will be

filtered within one hour after the sample sequence is

complete. Filtration flow rates will be 500 ml/minute.

3.3.2.3 Samples will be double bagged and immediately placed on

ice and kept at or below 4

oC

3.3.2.4 All equipment used for sample collection will be returned

to HRSD for re-cleaning.

3.3.3 Biosolids

3.3.3.1 Each participating facility is responsible for developing

representative sample collection procedures that minimizes

contamination.
365

3.3.3.2 New and/or acid washed plastic sample containers are

recommended for each collection event.

3.3.3.3 Designated sample points should be identified for this

study.

3.3.3.4 Representative samples should be collected immediately

after discharge from the dewatering unit.

3.4 QA/QC

3.4.1 Equipment Blanks

3.4.1.1 Sampling equipment will be checked for contamination

prior to shipment to POTW’s. Equipment blanks will be

collected and analyzed by HRSD. Only equipment

determined to be mercury free will be shipped for use in

sampling.

3.4.1.2 Equipment blanks will be checked on 10% of bottles and

tubing with each cleaning batch.

3.4.2 Field Blanks

3.4.2.1 A corresponding field blank will be collected with each

effluent sample.

3.4.2.2 Field blanks will be collected prior to effluent samples for

grab samples. Field blanks will be processed through the

same equipment as the effluent samples.

3.4.2.3 Field blanks for composite samples will be colleted

simultaneously using a separate sampler.

3.4.3 Field Duplicates

3.4.3.1 Field duplicates of final effluent will be collected initially

during the first three consecutive sampling events to

determine if collection protocols assure representative

samples. For the remainder of the study field duplicates

will be collected once per year for each plant.

3.4.3.2 The relative percent difference (RPD) for the duplicates

will be calculated using statistical approach.

3.4.3.3 If during the study the RPD for duplicates is outside of the

acceptance criteria, both duplicates will be reanalyzed to

assure that the problem is not analytical.

3.4.3.4 If it is determined that the sampling procedure produced

non-representative samples, the plant in question may need

to re-sample. An additional field duplicate may be required

to determine that the problem was corrected.

3.4.4 Documentation

3.4.4.1 HRSD will provide a chain of custody record with each

sample kit.

3.4.4.2 All samples submitted to HRSD need to be accompanied

by a chain of custody record.
366

3.4.4.3 HRSD will provide codes for each sampling site and

facility.

3.5 Plant Conditions at Time of Sampling

It is important that samples collected during this study are representative

of the process streams sampled. Therefore, sampling should not be

conducted if the following conditions are observed:

• Atypical plant flows.

• Unusual loss of solids in the effluent.

• Plant upset conditions.

• The plant is receiving an unusual industrial discharge.

• Significant diversions of flow.

• Atypical applications of chemical treatments.

3.6 Sample Point Selection

Selection of representative sample sites is critical to the success of this

study. All selected sample sites need to be in areas that are well mixed.

All operation recycle and added chemicals should be documented.

3.7 Sampling Schedule

Influent and Effluent samples will be collected on a monthly basis, with a

target completion date by the 15

th

of each month.

3.8 Shipping Information

Please refer to sampling procedures found in Appendix A for information

regarding shipping.

4.0 ANALYTICAL PROCEDURES

4.1 Analytical Methods

Influent and effluent samples will be analyzed for total recoverable and

dissolved mercury and total suspended solids. Biosolids will be analyzed

for total recoverable mercury and for total solids. Table 1 lists the

analytical methods and method detection limits (MDLs) that will be used

for the aqueous and solids samples in this study:

Table 1. Analytical Methods and Report Limits

Parameter Reference Method MDL (ng/L)

Hg (total recoverable

and dissolved)

EPA Method 1631, Rev. E 0.3

Hg (total recoverable

and dissolved)

EPA Method 245.7 0.7

Hg Total

Recoverable

EPA Method 245.2 30

Hg Total

Recoverable

EPA Method 245.5

or

0.06 mg/L

(TS values used for
367

SW-846 7471A conversion to mg/Kg)

TSS SM 2540D 1 mg/L

All effluent samples will be analyzed using EPA Method 1631 Rev. E.

(Appendix B). Influent samples which may greatly vary in concentration,

will be analyzed using the least sensitive method that yields a quantifiable

result (Appendix C and D)

HRSD’s Central Environmental Laboratory (CEL) will provide analytical

services for the aqueous samples collected for this study. Raw influents

and final effluents will be analyzed using clean techniques and protocols

for sample handling and analysis.

Participating POTWs will analyze solid samples for mercury using EPA

Method 245.5 or SW-846 7471A.

4.2 Analytical Schedule

4.2.1.1 Influent and effluent samples will be analyzed by the CEL

within 14 days of receipt and always prior to the holding

time expiration for any specific parameter.

4.2.1.2 Solid samples will be analyzed by POTWs by the end of

the month in which sampling took place and always prior to

the holding time expiration for any specific parameter .

4.3 Analytical Protocols

The following protocols will apply to all analyses performed by HRSD on

influent and effluent samples:

4.3.1 Clean Protocols: Throughout sample handling and analyses for

mercury clean techniques will be used including the following:

4.3.1.1 All sample preservation, preparation and analysis will be

performed in special clean areas

4.3.1.2 All labware used in the analytical process will be free from

contamination.

4.3.1.3 Appropriate measures will be taken, including use of class

100 clean benches to limit potential contamination of

samples and clean labware.

4.3.1.4 Wherever necessary steps will be taken to minimize or

eliminate potential sources of contamination introduced by

analysts, such as wearing of jewelry, use of certain

cosmetics, soap, hand creams, etc.

4.3.1.5 Only new or freshly laundered lab coats and new, powderfree gloves will be used.

4.3.2 Solids samples analyzed by participating POTWs should at a

minimum meet the following criteria:

4.3.2.1 Sample preservation should consist of cooling and storing

samples at 4

oC.

4.3.2.2 All labware used in the analytical process should be free

from detectable contamination.
368

4.3.2.3 Solid reagents used in analyses should not contain more

than 0.05 ppm Hg.

4.3.2.4 Necessary steps should be taken to minimize or eliminate

potential sources of contamination introduced by the

analytical processs.

4.4 Quality Assurance Protocols

4.4.1 The QA/QC protocols as required by specific EPA methods used

in the study will be employed. A summary of mandatory QC

samples and their acceptance criteria are listed in Table 2.

4.4.2 The CEL Quality Assurance Manual complying with general EPA

requirements pertaining to analytical processes and the EPA Good

Laboratory Practices document will be followed for all other

quality issues related to analyses conducted by CEL for this study.
Table 2. Quality Control Measures

QC Parameter Method 1631 Method 245.7 Method 245.2 Method 245.5 or 7471A 

Instrument Calibration Daily or as needed, whichever

is more frequent

Daily or as needed, whichever

is more frequent

Daily or as needed, whichever

is more frequent

Daily or as needed, whichever

is more frequent

Acceptance Criteria 0.995 0.995 0.995 0.995

Replicates 10% of sample batch 10% of sample batch 10% of sample batch Each sample analyzed in

triplicate

Acceptance Criteria

20% RPD for sample values

>RL

20% RPD for sample values

>RL

20% RPD for sample values

>RL

Use Grubbs Test to establish

outliers 

Quality Control Sample

(QCS)

1/Calibration 1/Calibration 1/Calibration 1/Calibration

Acceptance Criteria

77-123% or Sample Specified

Range

76-111% or Sample Specified

Range 90-110% 90-110%

Laboratory Reagent

Blanks (LRB)

3/sample batch 3/sample batch 3/sample batch 1/sample batch* 

Acceptance Criteria 0.2ng/L 0.6ng/L 100ng/L ML 

Laboratory Fortified

Blank (LFB) NA NA

2/sample batch 1/sample batch* 

Acceptance Criteria 85-115% 85-115%

Matrix Spike (MS) 10% of sample batch 10% of sample batch 10% of sample batch 10% of samples or 1 per batch*, whichever is greater 

Acceptance Criteria 71-125% 76-111% 70-130%

85-115% or within

established control limits

Matrix Spike Duplicate

(MSD)

10% of sample batch 10% of sample batch 10% of sample batch 10% of samples or 1 per

batch*, whichever is greater 

Acceptance Criteria 71-125%R and RPD24% 76-111%R and RPD18% 70-120%R and RPD20%

85-115% or within

established control limits;

RPD20%

Instrument

Performance Check

(IPC)

Prior to analysis of each

analytical batch, after every

10 samples and at end of each

run

Prior to analysis of each

analytical batch, after every

10 samples and at end of each

run

Prior to analysis of each

analytical batch, after every

10 samples and at end of each

run

Prior to analysis of each

analytical batch, after every

10 samples and at end of each

run 

Acceptance Criteria 77-123% 76-111%

Initial IPC 95-105%; all

others 90-110% 80-120%

Continuing Calibration

Blank (CCB)

3/batch minimum,

immediately following IPC

Immediately following IPC Immediately following IPC

Acceptance Criteria 0.2ng/L 0.6ng/L 100ng/L ML

*Batch defined as 20 samples
 370

4.5 Documentation

4.5.1 Chain-of-Custody

4.5.1.1 Sample chain-of-custody forms will be verified and

maintained as a part of auxiliary analytical records.

4.5.1.2 Sample information on the container labels and on chain-of

custody forms will be checked for correctness. Appropriate

corrective actions will be initiated as necessary.

4.5.1.3 Any corrective action taken will be thoroughly

documented.

4.5.2 Digestion Logs

4.5.2.1 Digestion Logs will contain the following information for

each sample batch:

• Digestion batch number

• Analyst identification

• Reference Method

• Digestion initiation and completion times and dates

• Standard preparation and expiration dates

• Standard and spike concentrations

• Unique sample identifying codes

• pH verification

4.5.3 Analytical Runs

4.5.3.1 Each analytical run will contain the following information:

• Run number

• Reference method

• Digestion number

• Sample preparation time and date

• Analyst identification

• Data validation signature and date

4.5.4 Instrument Maintenance

4.5.4.1 Daily, monthly, quarterly, and yearly maintenance will be

documented in the instrument logbook along with any

repairs performed by service engineers.

4.5.5 Corrective Actions

4.5.5.1 Any corrective actions taken will be documented in

instrument and/digestion logs, analytical runs or analytical

reports as appropriate.

4.5.5.2 POTW personnel will be contacted immediately if any of

the unusual conditions occur including:

• Improper chain-of-custody

• Poor sample condition (i.e., leaking container, not

double bagged)

• Unusual physical appearance (i.e., more solids than

usual)
 371

4.6 Data Validation

4.6.1.1 Upon generation, data will be reviewed to determine if

project data quality objectives and reference method

specified criteria are met.

4.6.1.2 Documentation of sample chain-of-custody, sample

preparation, analytical specifications, quality control and

other information will be used to judge validity of results.

4.6.1.3 Data deemed invalid will be clearly marked, with reason

provided and they will not be used in statistical evaluations.

When the result is determined invalid, every possible

attempt will be made to correct a problem and obtain a

subsequent valid result.

4.6.1.4 Data validation will be treated as a multi-tiered process that

begins with the sample collection and continues with

receipt by the laboratory, analysis, review by appropriate

personnel and final data review by the project/lab manager.

4.7 Analytical Reports

4.7.1 Each analytical report will contain the following information:

• Laboratory Identification

• Sample Identification

• Sample Date

• Analyte(s)

• Reference Method

• Units

• Results

• Report Limit (lowest calibration standard)

• Analyst identification

• Date and Time (military format) of analysis

• Any relevant notes

• Authorization signature and date

Format outline for analytical report can be found in Appendix E

4.7.2 Quality Assurance Summary will be provided for each sampling

event and will include:

• Method Detection Limit (MDL)

• Average Laboratory Reagent Blank (LRB) value

• Matrix Spike (MS) True and Obtained Values

• Matrix Spike Percent Recovery

• Relative Percent Difference (RPD) for MS/MS Duplicate

• Validating person’s signature and date

Format outline for Quality Assurance Summary can be found in

Appendix E.
 372

4.7.3 Analytical reports will be submitted to AMSA workgroup by the

15

th

of the month following sampling.

5.0 Data Handling

5.1 HRSD will enter all data generated for this study into specially developed

spreadsheets.

5.2 Data will be tracked throughout the study for completeness and correlation

between influent, effluent and solids concentrations.

5.3 Statistical data evaluation for each sample stream, POTWs and for the

whole project will be performed as needed.

5.4 A summary report will be submitted to the Mercury Workgroup Research

Project Subcommittee within 30 days following completion of the project.

Contact Information

HRSD

Anna Rule - project coordination

HRSD WQ

Phone: 757-460-4200

Fax: 757-460-2372

e-mail: arule@hrsd.com

Patty Lee - analytical issues

HRSD CEL

Phone: 757-460-4213

Fax: 757-460-6586

Email: plee@hrsd.com

Danny Barker - sampling

HRSD TSD

Phone: 757-460 4247

Fax: 757-460-6586

Email: dbarker@hrsd.com