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Inland Region_NR_Tests.docx

Author: Abt Associates Inc.

Created: 6/7/12

Updated: 7/5/12

Purpose: This file presents output from SAS code which compares characteristics of respondents to the Inland regional 316(b) stated

preference survey to survey non-respondents. Tests include the Student T-test, Mann-Whitney U Test (Wilcoxon Test), and ChiSquared Test of Proportions. Results were used in developing model weights.

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Inland Region - T-test for Age

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The TTEST Procedure

Variable: age

sample N Mean Std Dev Std Err Minimum Maximum

main 767 53.7392 14.9246 0.5389 18.0000 92.0000

nonresponse 193 56.0777 16.5221 1.1893 18.0000 93.0000

Diff (1-2) -2.3385 15.2582 1.2287

sample Method Mean 95% CL Mean Std Dev 95% CL Std Dev

main 53.7392 52.6814 54.7971 14.9246 14.2133 15.7115

nonresponse 56.0777 53.7320 58.4235 16.5221 15.0218 18.3578

Diff (1-2) Pooled -2.3385 -4.7498 0.0729 15.2582 14.6045 15.9735

Diff (1-2) Satterthwaite -2.3385 -4.9088 0.2319

Method Variances DF t Value Pr > |t|

Pooled Equal 958 -1.90 0.0573

Satterthwaite Unequal 276.02 -1.79 0.0744

Equality of Variances

Method Num DF Den DF F Value Pr > F

Folded F 192 766 1.23 0.0659
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Inland Region – Mann Whitney U Test (Wilcoxon) for Gender

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The NPAR1WAY Procedure

Wilcoxon Scores (Rank Sums) for Variable gender

Classified by Variable sample

sample N Sum of

Scores

Expected

Under H0

Std Dev

Under H0

Mean

Score

nonresponse 195 104625.0 94575.0 2937.70999 536.538462

main 774 365340.0 375390.0 2937.70999 472.015504

Average scores were used for ties.

Wilcoxon Two-Sample Test

Statistic 104625.0000

Normal Approximation

Z 3.4209

One-Sided Pr > Z 0.0003

Two-Sided Pr > |Z| 0.0006

t Approximation

One-Sided Pr > Z 0.0003

Two-Sided Pr > |Z| 0.0007

Z includes a continuity correction of

0.5.

Kruskal-Wallis Test

Chi-Square 11.7035

DF 1

Pr > Chi-Square 0.0006
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Inland Region – Chi-Squared Test of Proportions for Gender

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The FREQ Procedure

Frequency

Percent

Row Pct

Col Pct

Table of sample by gender

sample gender

male female Total

main 500

51.60

64.60

83.33

274

28.28

35.40

74.25

774

79.88

nonresponse 100

10.32

51.28

16.67

95

9.80

48.72

25.75

195

20.12

Total 600

61.92

369

38.08

969

100.00

Statistics for Table of sample by gender

Statistic DF Value Prob

Chi-Square 1 11.7156 0.0006

Likelihood Ratio Chi-Square 1 11.4872 0.0007

Continuity Adj. Chi-Square 1 11.1576 0.0008

Mantel-Haenszel Chi-Square 1 11.7035 0.0006

Phi Coefficient 0.1100

Contingency Coefficient 0.1093

Cramer's V 0.1100

Fisher's Exact Test

Cell (1,1) Frequency (F) 500

Left-sided Pr <= F 0.9997

Right-sided Pr >= F 4.648E-04

Table Probability (P) 2.077E-04

Two-sided Pr <= P 7.143E-04

Sample Size = 969
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Inland Region – Mann Whitney U Test (Wilcoxon) for Employment

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The NPAR1WAY Procedure

Wilcoxon Scores (Rank Sums) for Variable employ

Classified by Variable sample

sample N Sum of

Scores

Expected

Under H0

Std Dev

Under H0

Mean

Score

nonresponse 195 100936.0 93502.50 2894.23890 517.620513

main 763 358425.0 365858.50 2894.23890 469.757536

Average scores were used for ties.

Wilcoxon Two-Sample Test

Statistic 100936.0000

Normal Approximation

Z 2.5682

One-Sided Pr > Z 0.0051

Two-Sided Pr > |Z| 0.0102

t Approximation

One-Sided Pr > Z 0.0052

Two-Sided Pr > |Z| 0.0104

Z includes a continuity correction of

0.5.

Kruskal-Wallis Test

Chi-Square 6.5966

DF 1

Pr > Chi-Square 0.0102
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Inland Region – Chi-Squared Test of Proportions for Employment

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The FREQ Procedure

Frequency

Percent

Row Pct

Col Pct

Table of sample by employ

sample employ

employed unemployed Total

main 491

51.25

64.35

82.24

272

28.39

35.65

75.35

763

79.65

nonresponse 106

11.06

54.36

17.76

89

9.29

45.64

24.65

195

20.35

Total 597

62.32

361

37.68

958

100.00

Statistics for Table of sample by employ

Statistic DF Value Prob

Chi-Square 1 6.6035 0.0102

Likelihood Ratio Chi-Square 1 6.4947 0.0108

Continuity Adj. Chi-Square 1 6.1848 0.0129

Mantel-Haenszel Chi-Square 1 6.5966 0.0102

Phi Coefficient 0.0830

Contingency Coefficient 0.0827

Cramer's V 0.0830

Fisher's Exact Test

Cell (1,1) Frequency (F) 491

Left-sided Pr <= F 0.9958

Right-sided Pr >= F 0.0068

Table Probability (P) 0.0025

Two-sided Pr <= P 0.0129

Sample Size = 958
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Inland Region – Mann Whitney U Test (Wilcoxon) for Hispanic/Latino

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The NPAR1WAY Procedure

Wilcoxon Scores (Rank Sums) for Variable hisp

Classified by Variable sample

sample N Sum of

Scores

Expected

Under H0

Std Dev

Under H0

Mean

Score

nonresponse 194 91633.0 92926.0 1132.88352 472.335052

main 763 366770.0 365477.0 1132.88352 480.694626

Average scores were used for ties.

Wilcoxon Two-Sample Test

Statistic 91633.0000

Normal Approximation

Z -1.1409

One-Sided Pr < Z 0.1270

Two-Sided Pr > |Z| 0.2539

t Approximation

One-Sided Pr < Z 0.1271

Two-Sided Pr > |Z| 0.2542

Z includes a continuity correction

of 0.5.

Kruskal-Wallis Test

Chi-Square 1.3026

DF 1

Pr > Chi-Square 0.2537
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Inland Region – Chi-Squared Test of Proportions for Hispanic/Latino

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The FREQ Procedure

Frequency

Percent

Row Pct

Col Pct

Table of sample by hisp

sample hisp

hispanic nothispanic Total

main 26

2.72

3.41

72.22

737

77.01

96.59

80.02

763

79.73

nonresponse 10

1.04

5.15

27.78

184

19.23

94.85

19.98

194

20.27

Total 36

3.76

921

96.24

957

100.00

Statistics for Table of sample by hisp

Statistic DF Value Prob

Chi-Square 1 1.3040 0.2535

Likelihood Ratio Chi-Square 1 1.2079 0.2718

Continuity Adj. Chi-Square 1 0.8661 0.3520

Mantel-Haenszel Chi-Square 1 1.3026 0.2537

Phi Coefficient -0.0369

Contingency Coefficient 0.0369

Cramer's V -0.0369

Fisher's Exact Test

Cell (1,1) Frequency (F) 26

Left-sided Pr <= F 0.1743

Right-sided Pr >= F 0.9081

Table Probability (P) 0.0824

Two-sided Pr <= P 0.2886

Sample Size = 957
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Inland Region – Mann Whitney U Test (Wilcoxon) for Education

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The FREQ Procedure

Frequency

Percent

Row Pct

Col Pct

Table of sample by education

sample education

1 2 3 4 5 6 9 Total

main 14

1.45

1.82

43.75

129

13.37

16.80

70.11

106

10.98

13.80

80.30

188

19.48

24.48

83.19

172

17.82

22.40

81.52

159

16.48

20.70

88.83

0

0.00

0.00

0.00

768

79.59

nonresponse 18

1.87

9.14

56.25

55

5.70

27.92

29.89

26

2.69

13.20

19.70

38

3.94

19.29

16.81

39

4.04

19.80

18.48

20

2.07

10.15

11.17

1

0.10

0.51

100.00

197

20.41

Total 32

3.32

184

19.07

132

13.68

226

23.42

211

21.87

179

18.55

1

0.10

965

100.00

Statistics for Table of sample by education

Statistic DF Value Prob

Chi-Square 6 51.1012 <.0001

Likelihood Ratio Chi-Square 6 45.4015 <.0001

Mantel-Haenszel Chi-Square 1 30.0619 <.0001

Phi Coefficient 0.2301

Contingency Coefficient 0.2243

Cramer's V 0.2301

Sample Size = 965
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Inland Region – Chi-Squared Test of Proportions for Education

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The FREQ Procedure

Frequency

Percent

Row Pct

Col Pct

Table of sample by education

sample education

1 2 3 4 5 6 9 Total

main 14

1.45

1.82

43.75

129

13.37

16.80

70.11

106

10.98

13.80

80.30

188

19.48

24.48

83.19

172

17.82

22.40

81.52

159

16.48

20.70

88.83

0

0.00

0.00

0.00

768

79.59

nonresponse 18

1.87

9.14

56.25

55

5.70

27.92

29.89

26

2.69

13.20

19.70

38

3.94

19.29

16.81

39

4.04

19.80

18.48

20

2.07

10.15

11.17

1

0.10

0.51

100.00

197

20.41

Total 32

3.32

184

19.07

132

13.68

226

23.42

211

21.87

179

18.55

1

0.10

965

100.00

Statistics for Table of sample by education

Statistic DF Value Prob

Chi-Square 6 51.1012 <.0001

Likelihood Ratio Chi-Square 6 45.4015 <.0001

Mantel-Haenszel Chi-Square 1 30.0619 <.0001

Phi Coefficient 0.2301

Contingency Coefficient 0.2243

Cramer's V 0.2301

Sample Size = 965
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Inland Region – Mann Whitney U Test (Wilcoxon) for Importance of Aquatic Ecosystems

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The NPAR1WAY Procedure

Wilcoxon Scores (Rank Sums) for Variable aquatic

Classified by Variable sample

sample N Sum of

Scores

Expected

Under H0

Std Dev

Under H0

Mean

Score

nonresponse 197 98545.50 94757.0 3331.87745 500.230964

main 764 363695.50 367484.0 3331.87745 476.041230

Average scores were used for ties.

Wilcoxon Two-Sample Test

Statistic 98545.5000

Normal Approximation

Z 1.1369

One-Sided Pr > Z 0.1278

Two-Sided Pr > |Z| 0.2556

t Approximation

One-Sided Pr > Z 0.1279

Two-Sided Pr > |Z| 0.2559

Z includes a continuity correction

of 0.5.

Kruskal-Wallis Test

Chi-Square 1.2929

DF 1

Pr > Chi-Square 0.2555
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Inland Region – Chi-Squared Test of Proportions for Importance of Aquatic Ecosystems

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The FREQ Procedure

Frequency

Percent

Row Pct

Col Pct

Table of sample by aquatic

sample aquatic

1 2 3 4 5 Total

main 39

4.06

5.10

81.25

70

7.28

9.16

86.42

182

18.94

23.82

79.82

202

21.02

26.44

77.99

271

28.20

35.47

78.55

764

79.50

nonresponse 9

0.94

4.57

18.75

11

1.14

5.58

13.58

46

4.79

23.35

20.18

57

5.93

28.93

22.01

74

7.70

37.56

21.45

197

20.50

Total 48

4.99

81

8.43

228

23.73

259

26.95

345

35.90

961

100.00

Statistics for Table of sample by aquatic

Statistic DF Value Prob

Chi-Square 4 3.0368 0.5517

Likelihood Ratio Chi-Square 4 3.2751 0.5129

Mantel-Haenszel Chi-Square 1 1.4939 0.2216

Phi Coefficient 0.0562

Contingency Coefficient 0.0561

Cramer's V 0.0562

Sample Size = 961
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Inland Region – Mann Whitney U Test (Wilcoxon) for Income less than 60k

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The NPAR1WAY Procedure

Wilcoxon Scores (Rank Sums) for Variable income_lt60k

Classified by Variable sample

Sum of Expected Std Dev Mean

sample N Scores Under H0 Under H0 Score

---------------------------------------------------------------------------

nonresponse 174 88467.0 77778.0 2629.54194 508.431034

main 719 310704.0 321393.0 2629.54194 432.133519

Average scores were used for ties.

Wilcoxon Two-Sample Test

Statistic 88467.0000

Normal Approximation

Z 4.0648

One-Sided Pr > Z <.0001

Two-Sided Pr > |Z| <.0001

t Approximation

One-Sided Pr > Z <.0001

Two-Sided Pr > |Z| <.0001

Z includes a continuity correction of 0.5.

Kruskal-Wallis Test

Chi-Square 16.5240

DF 1

Pr > Chi-Square <.0001
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Inland Region – Chi-Squared Test of Proportions for Income less than 60k

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The FREQ Procedure

Table of sample by income_lt60k

sample income_lt60k

Frequency |

Percent |

Row Pct |

Col Pct | 0| 1| Total

------------+--------+--------+

main | 346 | 373 | 719

| 38.75 | 41.77 | 80.52

| 48.12 | 51.88 |

| 86.50 | 75.66 |

------------+--------+--------+

nonresponse | 54 | 120 | 174

| 6.05 | 13.44 | 19.48

| 31.03 | 68.97 |

| 13.50 | 24.34 |

------------+--------+--------+

Total 400 493 893

44.79 55.21 100.00

Statistics for Table of sample by income_lt60k

Statistic DF Value Prob

------------------------------------------------------

Chi-Square 1 16.5425 <.0001

Likelihood Ratio Chi-Square 1 16.9835 <.0001

Continuity Adj. Chi-Square 1 15.8587 <.0001

Mantel-Haenszel Chi-Square 1 16.5240 <.0001

Phi Coefficient 0.1361

Contingency Coefficient 0.1349

Cramer's V 0.1361

Fisher's Exact Test

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Cell (1,1) Frequency (F) 346

Left-sided Pr <= F 1.0000

Right-sided Pr >= F 2.786E-05

Table Probability (P) 1.485E-05

Two-sided Pr <= P 4.344E-05

Sample Size = 893
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Inland Region – Mann Whitney U Test (Wilcoxon) for Race (minority)

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The NPAR1WAY Procedure

Wilcoxon Scores (Rank Sums) for Variable race_minor

Classified by Variable sample

sample N Sum of

Scores

Expected

Under H0

Std Dev

Under H0

Mean

Score

nonresponse 185 86817.50 86025.0 1820.49095 469.283784

main 744 345167.50 345960.0 1820.49095 463.934812

Average scores were used for ties.

Wilcoxon Two-Sample Test

Statistic 86817.5000

Normal Approximation

Z 0.4350

One-Sided Pr > Z 0.3318

Two-Sided Pr > |Z| 0.6635

t Approximation

One-Sided Pr > Z 0.3318

Two-Sided Pr > |Z| 0.6636

Z includes a continuity correction

of 0.5.

Kruskal-Wallis Test

Chi-Square 0.1895

DF 1

Pr > Chi-Square 0.6633
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Inland Region – Chi-Squared Test of Proportions for Race (minority)

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The FREQ Procedure

Frequency

Percent

Row Pct

Col Pct

Table of sample by race_minor

sample race_minor

minor white Total

main 89

9.58

11.96

81.65

655

70.51

88.04

79.88

744

80.09

nonresponse 20

2.15

10.81

18.35

165

17.76

89.19

20.12

185

19.91

Total 109

11.73

820

88.27

929

100.00

Statistics for Table of sample by race_minor

Statistic DF Value Prob

Chi-Square 1 0.1897 0.6632

Likelihood Ratio Chi-Square 1 0.1931 0.6604

Continuity Adj. Chi-Square 1 0.0948 0.7581

Mantel-Haenszel Chi-Square 1 0.1895 0.6633

Phi Coefficient 0.0143

Contingency Coefficient 0.0143

Cramer's V 0.0143

Fisher's Exact Test

Cell (1,1) Frequency (F) 89

Left-sided Pr <= F 0.7086

Right-sided Pr >= F 0.3860

Table Probability (P) 0.0946

Two-sided Pr <= P 0.7984

Sample Size = 929