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I have two groups (control and experimental) with 16 subjects each. Their pre-test scores are statistically different from a normal distribution so I opted to do nonparametric tests. I need to compare the learning gains of the students (post test score minus pre test score) but don't know what nonparametric test to use. I know though that if I were to use parametric tests, the ANCOVA is the test that I should use. What is ANCOVA's nonparametric test counterpart?

EDIT: Can I use Quade's test for this? This is a quasi-experimental study by the way, with the objective of determining whether a learning intervention enhance student achievement.

Thanks in advance!

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  • $\begingroup$ You do not need to have normally distributed data to apply an ANCOVA. Use the "asymptotic chi-square" test instead of the F-test. $\endgroup$ – AdamO Mar 9 '18 at 14:11
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If you are willing to subtract the pre-score from the post-score, and consider that your dependent variable, then you can just use a Mann-Whitney test between the two groups.

Otherwise, I think you would have to use an aligned ranks approach to stay in the nonparametric realm.

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