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    Hypothesis Testing: Kruskal Wallis test & ANOVA

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    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.

    © BrainMass Inc. brainmass.com June 3, 2020, 11:58 pm ad1c9bdddf
    https://brainmass.com/statistics/nonparametric-tests/310880

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    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.

    $2.19

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