Imagine I conducted the following experiment: I used gender as a nonmanipulated independent variable and measured performance in my class. I measured performance by ranking everyone in the class, giving the person with the highest grade a 1, the person with the 2nd highest grade a 2, and so forth. Which statistic would I use to determine any differences in performance between these two groups?

What will be an ideal response?

Because the data are ordinal (ranked) you would use a Wilcoxon test. Furthermore, because the nonmanipulated independent variable is between-subjects (gender), the exact test would be the Wilcoxon Rank-Sum Test.

Psychology

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