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

ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ

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 0.0001
The 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

ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ

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 0.9837
The 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

ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ

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 0.6817
The 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

ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ

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 0.7474
The 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

ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ

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 0.2530
The 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

ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ

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 0.6202
The 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

ƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒƒ

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 0.6999
The 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

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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