Northeast nonresponse Mann Whitney U test results.docx

Author: Abt Associates, Inc. Created: 1/13/12 Purpose: SAS output for Mann-Whitney U tests (also called the Wilcoxon rank-sum test) for statistical differences between mail survey respondents and nonrespondents that participated in the nonresponse follow-up survey.
The SAS System 15:48 Friday, January 13, 2012 2 The NPAR1WAY Procedure Wilcoxon Scores (Rank Sums) for Variable gender

Classified by Variable sample Sum of Expected Std Dev Mean sample N Scores Under H0 Under H0 Score

ƒ ƒ ƒƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ nr 110 31023.50 26840.0 1101.16795 282.031818 ma 377 87804.50 91988.0 1101.16795 232.903183 Average scores were used for ties.
Wilcoxon Two-Sample Test Statistic 31023.5000 Normal Approximation Z 3.7987 One-Sided Pr > Z <.0001 Two-Sided Pr > |Z| 0.0001 t Approximation One-Sided Pr > Z <.0001 Two-Sided Pr > |Z| 0.0002 Z includes a continuity correction of 0.5.

Kruskal-Wallis Test Chi-Square 14.4335 DF 1 Pr > Chi-Square 0.0001The SAS System 15:48 Friday, January 13, 2012

3 The NPAR1WAY Procedure Wilcoxon Scores (Rank Sums) for Variable employ

Classified by Variable sample Sum of Expected Std Dev Mean sample N Scores Under H0 Under H0 Score

ƒ ƒ ƒƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ nr 110 26697.0 26675.0 1079.44775 242.700000 ma 374 90673.0 90695.0 1079.44775 242.441176 Average scores were used for ties.
Wilcoxon Two-Sample Test Statistic 26697.0000 Normal Approximation Z 0.0199 One-Sided Pr > Z 0.4921 Two-Sided Pr > |Z| 0.9841 t Approximation One-Sided Pr > Z 0.4921 Two-Sided Pr > |Z| 0.9841 Z includes a continuity correction of 0.5.

Kruskal-Wallis Test Chi-Square 0.0004 DF 1 Pr > Chi-Square 0.9837The SAS System 15:48 Friday, January 13, 2012

4 The NPAR1WAY Procedure Wilcoxon Scores (Rank Sums) for Variable hisp

Classified by Variable sample Sum of Expected Std Dev Mean sample N Scores Under H0 Under H0 Score

ƒ ƒ ƒƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ nr 108 25674.0 25866.0 468.158778 237.722222 ma 370 88807.0 88615.0 468.158778 240.018919 Average scores were used for ties.
Wilcoxon Two-Sample Test Statistic 25674.0000 Normal Approximation Z -0.4090 One-Sided Pr < Z 0.3413 Two-Sided Pr > |Z| 0.6825 t Approximation One-Sided Pr < Z 0.3413 Two-Sided Pr > |Z| 0.6827 Z includes a continuity correction of 0.5.

Kruskal-Wallis Test Chi-Square 0.1682 DF 1 Pr > Chi-Square 0.6817The SAS System 15:48 Friday, January 13, 2012

5 The NPAR1WAY Procedure Wilcoxon Scores (Rank Sums) for Variable race_minor

Classified by Variable sample Sum of Expected Std Dev Mean sample N Scores Under H0 Under H0 Score

ƒ ƒ ƒƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ nr 111 28386.0 28083.0 940.839854 255.729730 ma 394 99379.0 99682.0 940.839854 252.230964 Average scores were used for ties.
Wilcoxon Two-Sample Test Statistic 28386.0000 Normal Approximation Z 0.3215 One-Sided Pr > Z 0.3739 Two-Sided Pr > |Z| 0.7478 t Approximation One-Sided Pr > Z 0.3740 Two-Sided Pr > |Z| 0.7479 Z includes a continuity correction of 0.5.

Kruskal-Wallis Test Chi-Square 0.1037 DF 1 Pr > Chi-Square 0.7474The SAS System 15:48 Friday, January 13, 2012

6 The NPAR1WAY Procedure Wilcoxon Scores (Rank Sums) for Variable education

Classified by Variable sample Sum of Expected Std Dev Mean sample N Scores Under H0 Under H0 Score

ƒ ƒ ƒƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ nr 110 25232.50 26675.0 1261.99262 229.386364 ma 374 92137.50 90695.0 1261.99262 246.356952 Average scores were used for ties.
Wilcoxon Two-Sample Test Statistic 25232.5000 Normal Approximation Z -1.1426 One-Sided Pr < Z 0.1266 Two-Sided Pr > |Z| 0.2532 t Approximation One-Sided Pr < Z 0.1269 Two-Sided Pr > |Z| 0.2538 Z includes a continuity correction of 0.5.

Kruskal-Wallis Test Chi-Square 1.3065 DF 1 Pr > Chi-Square 0.2530The SAS System 15:48 Friday, January 13, 2012

7 The NPAR1WAY Procedure Wilcoxon Scores (Rank Sums) for Variable aquatic

Classified by Variable sample Sum of Expected Std Dev Mean sample N Scores Under H0 Under H0 Score

ƒ ƒ ƒƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ nr 104 24528.0 25116.0 1186.58566 235.846154 ma 378 91875.0 91287.0 1186.58566 243.055556 Average scores were used for ties.
Wilcoxon Two-Sample Test Statistic 24528.0000 Normal Approximation Z -0.4951 One-Sided Pr < Z 0.3103 Two-Sided Pr > |Z| 0.6205 t Approximation One-Sided Pr < Z 0.3104 Two-Sided Pr > |Z| 0.6207 Z includes a continuity correction of 0.5.

Kruskal-Wallis Test Chi-Square 0.2456 DF 1 Pr > Chi-Square 0.6202The SAS System 15:48 Friday, January 13, 2012

8 The NPAR1WAY Procedure Wilcoxon Scores (Rank Sums) for Variable race

Classified by Variable sample Sum of Expected Std Dev Mean sample N Scores Under H0 Under H0 Score

ƒ ƒ ƒƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ nr 105 24291.50 24570.0 722.429607 231.347619 ma 362 84986.50 84708.0 722.429607 234.769337 Average scores were used for ties.
Wilcoxon Two-Sample Test Statistic 24291.5000 Normal Approximation Z -0.3848 One-Sided Pr < Z 0.3502 Two-Sided Pr > |Z| 0.7004 t Approximation One-Sided Pr < Z 0.3503 Two-Sided Pr > |Z| 0.7006 Z includes a continuity correction of 0.5.

Kruskal-Wallis Test Chi-Square 0.1486 DF 1 Pr > Chi-Square 0.6999The SAS System 15:48 Friday, January 13, 2012

9 The NPAR1WAY Procedure Wilcoxon Scores (Rank Sums) for Variable income

Classified by Variable sample Sum of Expected Std Dev Mean sample N Scores Under H0 Under H0 Score

ƒ ƒ ƒƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ ƒ nr 98 20591.50 21511.0 1090.29613 210.117347 ma 340 75549.50 74630.0 1090.29613 222.204412 Average scores were used for ties.
Wilcoxon Two-Sample Test Statistic 20591.5000 Normal Approximation Z -0.8429 One-Sided Pr < Z 0.1996 Two-Sided Pr > |Z| 0.3993 t Approximation One-Sided Pr < Z 0.1999 Two-Sided Pr > |Z| 0.3998 Z includes a continuity correction of 0.5.

Kruskal-Wallis Test Chi-Square 0.7112 DF 1 Pr > Chi-Square 0.3990