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Southeast 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 Southeast regional 316(b)

stated preference survey to survey non-respondents. Tests include the Student T-test, Mann-Whitney U Test (Wilcoxon Test), and

Chi-Squared Test of Proportions. Results were used in developing model weights.

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Southeast Region - T-test for Age

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The TTEST Procedure

Variable: age

sample N Mean Std Dev Std Err Minimum Maximum

main 475 54.2821 14.6375 0.6716 18.0000 91.0000

nonresponse 148 56.5811 16.5821 1.3630 18.0000 93.0000

Diff (1-2) -2.2990 15.1205 1.4234

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

main 54.2821 52.9624 55.6018 14.6375 13.7622 15.6328

nonresponse 56.5811 53.8874 59.2748 16.5821 14.8839 18.7212

Diff (1-2) Pooled -2.2990 -5.0943 0.4963 15.1205 14.3243 16.0110

Diff (1-2) Satterthwaite -2.2990 -5.2934 0.6955

Method Variances DF t Value Pr > |t|

Pooled Equal 621 -1.62 0.1068

Satterthwaite Unequal 222.97 -1.51 0.1317

Equality of Variances

Method Num DF Den DF F Value Pr > F

Folded F 147 474 1.28 0.0536
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4

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Southeast 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 152 53635.0 47956.0 1667.68438 352.861842

main 478 145130.0 150809.0 1667.68438 303.619247

Average scores were used for ties.

Wilcoxon Two-Sample Test

Statistic 53635.0000

Normal Approximation

Z 3.4050

One-Sided Pr > Z 0.0003

Two-Sided Pr > |Z| 0.0007

t Approximation

One-Sided Pr > Z 0.0004

Two-Sided Pr > |Z| 0.0007

Z includes a continuity correction

of 0.5.

Kruskal-Wallis Test

Chi-Square 11.5962

DF 1

Pr > Chi-Square 0.0007
5
6

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Southeast 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 298

47.30

62.34

80.76

180

28.57

37.66

68.97

478

75.87

nonresponse 71

11.27

46.71

19.24

81

12.86

53.29

31.03

152

24.13

Total 369

58.57

261

41.43

630

100.00

Statistics for Table of sample by gender

Statistic DF Value Prob

Chi-Square 1 11.6146 0.0007

Likelihood Ratio Chi-Square 1 11.4853 0.0007

Continuity Adj. Chi-Square 1 10.9793 0.0009

Mantel-Haenszel Chi-Square 1 11.5962 0.0007

Phi Coefficient 0.1358

Contingency Coefficient 0.1345

Cramer's V 0.1358

Fisher's Exact Test

Cell (1,1) Frequency (F) 298

Left-sided Pr <= F 0.9998

Right-sided Pr >= F 4.888E-04

Table Probability (P) 2.423E-04

Two-sided Pr <= P 9.024E-04

Sample Size = 630
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Southeast 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 152 48572.0 48108.0 1672.07549 319.552632

main 480 151456.0 151920.0 1672.07549 315.533333

Average scores were used for ties.

Wilcoxon Two-Sample Test

Statistic 48572.0000

Normal Approximation

Z 0.2772

One-Sided Pr > Z 0.3908

Two-Sided Pr > |Z| 0.7816

t Approximation

One-Sided Pr > Z 0.3909

Two-Sided Pr > |Z| 0.7817

Z includes a continuity correction

of 0.5.

Kruskal-Wallis Test

Chi-Square 0.0770

DF 1

Pr > Chi-Square 0.7814
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Southeast 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 284

44.94

59.17

76.34

196

31.01

40.83

75.38

480

75.95

nonresponse 88

13.92

57.89

23.66

64

10.13

42.11

24.62

152

24.05

Total 372

58.86

260

41.14

632

100.00

Statistics for Table of sample by employ

Statistic DF Value Prob

Chi-Square 1 0.0771 0.7812

Likelihood Ratio Chi-Square 1 0.0770 0.7814

Continuity Adj. Chi-Square 1 0.0335 0.8547

Mantel-Haenszel Chi-Square 1 0.0770 0.7814

Phi Coefficient 0.0110

Contingency Coefficient 0.0110

Cramer's V 0.0110

Fisher's Exact Test

Cell (1,1) Frequency (F) 284

Left-sided Pr <= F 0.6461

Right-sided Pr >= F 0.4263

Table Probability (P) 0.0723

Two-sided Pr <= P 0.7776

Sample Size = 632
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Southeast 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 151 47324.50 47338.50 1001.61466 313.407285

main 475 148926.50 148912.50 1001.61466 313.529474

Average scores were used for ties.

Wilcoxon Two-Sample Test

Statistic 47324.5000

Normal Approximation

Z -0.0135

One-Sided Pr < Z 0.4946

Two-Sided Pr > |Z| 0.9892

t Approximation

One-Sided Pr < Z 0.4946

Two-Sided Pr > |Z| 0.9893

Z includes a continuity correction

of 0.5.

Kruskal-Wallis Test

Chi-Square 0.0002

DF 1

Pr > Chi-Square 0.9888
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Southeast 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 47

7.51

9.89

75.81

428

68.37

90.11

75.89

475

75.88

nonresponse 15

2.40

9.93

24.19

136

21.73

90.07

24.11

151

24.12

Total 62

9.90

564

90.10

626

100.00

Statistics for Table of sample by hisp

Statistic DF Value Prob

Chi-Square 1 0.0002 0.9888

Likelihood Ratio Chi-Square 1 0.0002 0.9888

Continuity Adj. Chi-Square 1 0.0000 1.0000

Mantel-Haenszel Chi-Square 1 0.0002 0.9888

Phi Coefficient -0.0006

Contingency Coefficient 0.0006

Cramer's V -0.0006

Fisher's Exact Test

Cell (1,1) Frequency (F) 47

Left-sided Pr <= F 0.5480

Right-sided Pr >= F 0.5759

Table Probability (P) 0.1239

Two-sided Pr <= P 1.0000

Sample Size = 626
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Southeast Region – Mann Whitney U Test (Wilcoxon) for Education

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The NPAR1WAY Procedure

Wilcoxon Scores (Rank Sums) for Variable education

Classified by Variable sample

sample N Sum of

Scores

Expected

Under H0

Std Dev

Under H0

Mean

Score

nonresponse 151 43473.50 47791.50 1918.81832 287.903974

main 481 156554.50 152236.50 1918.81832 325.477131

Average scores were used for ties.

Wilcoxon Two-Sample Test

Statistic 43473.5000

Normal Approximation

Z -2.2501

One-Sided Pr < Z 0.0122

Two-Sided Pr > |Z| 0.0244

t Approximation

One-Sided Pr < Z 0.0124

Two-Sided Pr > |Z| 0.0248

Z includes a continuity correction

of 0.5.

Kruskal-Wallis Test

Chi-Square 5.0640

DF 1

Pr > Chi-Square 0.0244
14
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Southeast 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 8 Total

main 21

3.32

4.37

72.41

77

12.18

16.01

66.96

55

8.70

11.43

70.51

116

18.35

24.12

79.45

124

19.62

25.78

84.93

88

13.92

18.30

75.21

0

0.00

0.00

0.00

481

76.11

nonresponse 8

1.27

5.30

27.59

38

6.01

25.17

33.04

23

3.64

15.23

29.49

30

4.75

19.87

20.55

22

3.48

14.57

15.07

29

4.59

19.21

24.79

1

0.16

0.66

100.00

151

23.89

Total 29

4.59

115

18.20

78

12.34

146

23.10

146

23.10

117

18.51

1

0.16

632

100.00

Statistics for Table of sample by education

Statistic DF Value Prob

Chi-Square 6 17.2428 0.0084

Likelihood Ratio Chi-Square 6 17.1722 0.0087

Mantel-Haenszel Chi-Square 1 5.0837 0.0242

Phi Coefficient 0.1652

Contingency Coefficient 0.1630

Cramer's V 0.1652

Sample Size = 632
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Southeast 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 148 48740.50 46916.0 1839.48930 329.327703

main 485 151920.50 153745.0 1839.48930 313.238144

Average scores were used for ties.

Wilcoxon Two-Sample Test

Statistic 48740.5000

Normal Approximation

Z 0.9916

One-Sided Pr > Z 0.1607

Two-Sided Pr > |Z| 0.3214

t Approximation

One-Sided Pr > Z 0.1609

Two-Sided Pr > |Z| 0.3218

Z includes a continuity correction

of 0.5.

Kruskal-Wallis Test

Chi-Square 0.9838

DF 1

Pr > Chi-Square 0.3213
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Southeast 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 27

4.27

5.57

75.00

34

5.37

7.01

91.89

97

15.32

20.00

75.78

118

18.64

24.33

76.62

209

33.02

43.09

75.18

485

76.62

nonresponse 9

1.42

6.08

25.00

3

0.47

2.03

8.11

31

4.90

20.95

24.22

36

5.69

24.32

23.38

69

10.90

46.62

24.82

148

23.38

Total 36

5.69

37

5.85

128

20.22

154

24.33

278

43.92

633

100.00

Statistics for Table of sample by aquatic

Statistic DF Value Prob

Chi-Square 4 5.2420 0.2634

Likelihood Ratio Chi-Square 4 6.4244 0.1696

Mantel-Haenszel Chi-Square 1 0.9908 0.3196

Phi Coefficient 0.0910

Contingency Coefficient 0.0906

Cramer's V 0.0910

Sample Size = 633
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Southeast 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

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nonresponse 134 40271.0 39262.0 1485.66022 300.529851

main 451 131134.0 132143.0 1485.66022 290.762749

Average scores were used for ties.

Wilcoxon Two-Sample Test

Statistic 40271.0000

Normal Approximation

Z 0.6788

One-Sided Pr > Z 0.2486

Two-Sided Pr > |Z| 0.4973

t Approximation

One-Sided Pr > Z 0.2488

Two-Sided Pr > |Z| 0.4975

Z includes a continuity correction of 0.5.

Kruskal-Wallis Test

Chi-Square 0.4613

DF 1

Pr > Chi-Square 0.4970
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Southeast 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 | 217 | 234 | 451

| 37.09 | 40.00 | 77.09

| 48.12 | 51.88 |

| 78.34 | 75.97 |

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

nonresponse | 60 | 74 | 134

| 10.26 | 12.65 | 22.91

| 44.78 | 55.22 |

| 21.66 | 24.03 |

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

Total 277 308 585

47.35 52.65 100.00

Statistics for Table of sample by income_lt60k

Statistic DF Value Prob

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Chi-Square 1 0.4620 0.4967

Likelihood Ratio Chi-Square 1 0.4628 0.4963

Continuity Adj. Chi-Square 1 0.3378 0.5611

Mantel-Haenszel Chi-Square 1 0.4613 0.4970

Phi Coefficient 0.0281

Contingency Coefficient 0.0281

Cramer's V 0.0281

Fisher's Exact Test

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Cell (1,1) Frequency (F) 217

Left-sided Pr <= F 0.7816

Right-sided Pr >= F 0.2808

Table Probability (P) 0.0625

Two-sided Pr <= P 0.5545

Sample Size = 585
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Southeast 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 146 44231.0 44457.0 1298.91839 302.952055

main 462 140905.0 140679.0 1298.91839 304.989177

Average scores were used for ties.

Wilcoxon Two-Sample Test

Statistic 44231.0000

Normal Approximation

Z -0.1736

One-Sided Pr < Z 0.4311

Two-Sided Pr > |Z| 0.8622

t Approximation

One-Sided Pr < Z 0.4311

Two-Sided Pr > |Z| 0.8622

Z includes a continuity correction

of 0.5.

Kruskal-Wallis Test

Chi-Square 0.0303

DF 1

Pr > Chi-Square 0.8619
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Southeast 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 95

15.63

20.56

75.40

367

60.36

79.44

76.14

462

75.99

nonresponse 31

5.10

21.23

24.60

115

18.91

78.77

23.86

146

24.01

Total 126

20.72

482

79.28

608

100.00

Statistics for Table of sample by race_minor

Statistic DF Value Prob

Chi-Square 1 0.0303 0.8618

Likelihood Ratio Chi-Square 1 0.0302 0.8620

Continuity Adj. Chi-Square 1 0.0033 0.9545

Mantel-Haenszel Chi-Square 1 0.0303 0.8619

Phi Coefficient -0.0071

Contingency Coefficient 0.0071

Cramer's V -0.0071

Fisher's Exact Test

Cell (1,1) Frequency (F) 95

Left-sided Pr <= F 0.4725

Right-sided Pr >= F 0.6187

Table Probability (P) 0.0912

Two-sided Pr <= P 0.9068

Sample Size = 608