I am doing a research project where I am comparing the discrimination men and women face in the workplace. I have participants answering questions where they rank their responses from 1 to 6 (strongly disagree to strongly agree). Since I am examining the differences between two groups and not testing the same participants more than once then the test I should use is a t test for independent samples? I am not sure if I should be using a different type or t-test and/or if my logic for choosing this test is correct.
2026-04-01 16:55:17.1775062517
What type of statistical test should I use?
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Categorical responses from 1 to 6 are routinely shown not to satisfy the normality assumption of $t$-tests, so I would avoid a $t$-test if possible. A non-parametric test such as a permutation test (https://en.m.wikipedia.org/wiki/Resampling_(statistics)) is much more rigorous.