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Hypothesis Testing: Kruskal Wallis test & ANOVA

Use a nonparametric test (attached) to see whether current salaries for clerical employees differ for the four gender/race groups. Compare results from those from a parametric analysis. Summarize conclusions.

Part 1 output

NPar Tests

Kruskal-Wallis Test

Ranks
SEX & RACE CLASSIFICATION N Mean Rank
CURRENT SALARY WHITE MALES 194 329.23
MINORITY MALES 64 244.55
WHITE FEMALES 176 163.64
MINORITY FEMALES 40 106.28
Total 474

Test Statisticsa,b
CURRENT SALARY
Chi-Square 175.068
df 3
Asymp. Sig. .000
a. Kruskal Wallis Test
b. Grouping Variable: SEX & RACE CLASSIFICATION

Part 2 Output

Oneway

ANOVA
CURRENT SALARY
Sum of Squares df Mean Square F Sig.
Between Groups 5.688E9 3 1.896E9 54.405 .000
Within Groups 1.638E10 470 3.485E7
Total 2.207E10 473

Post Hoc Tests

Multiple Comparisons
CURRENT SALARY
Bonferroni
(I) SEX & RACE CLASSIFICATION (J) SEX & RACE CLASSIFICATION Mean Difference (I-J) Std. Error Sig. 95% Confidence Interval
Lower Bound Upper Bound
WHITE MALES MINORITY MALES 4891.727* 850.965 .000 2637.12 7146.34
WHITE FEMALES 7107.449* 614.521 .000 5479.29 8735.60
MINORITY FEMALES 8565.165* 1025.109 .000 5849.17 11281.16
MINORITY MALES WHITE MALES -4891.727* 850.965 .000 -7146.34 -2637.12
WHITE FEMALES 2215.722 861.692 .063 -67.31 4498.75
MINORITY FEMALES 3673.438* 1189.843 .013 520.98 6825.89
WHITE FEMALES WHITE MALES -7107.449* 614.521 .000 -8735.60 -5479.29
MINORITY MALES -2215.722 861.692 .063 -4498.75 67.31
MINORITY FEMALES 1457.716 1034.031 .956 -1281.92 4197.35
MINORITY FEMALES WHITE MALES -8565.165* 1025.109 .000 -11281.16 -5849.17
MINORITY MALES -3673.438* 1189.843 .013 -6825.89 -520.98
WHITE FEMALES -1457.716 1034.031 .956 -4197.35 1281.92
*. The mean difference is significant at the 0.05 level.

Attachments

Solution Summary

The solution provides step by step method for the calculation of Kruskal Wallis test and ANOVA. Formula for the calculation and Interpretations of the results are also included.

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