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Ali Sultan
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Accuracy vs. area under the ROC curve
269469 are negatives and 37731 are positive; this might be the problem here as per the answers below (the class imbalance).
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Accuracy vs. area under the ROC curve
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Which nonparametric test should I use
But as far as I know that the nonparametric tests are distribution free, am I wrong?
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Which nonparametric test should I use
Well, this was my question, which ones are the most efficient for the case studies I explained above. Thanks for your interest.
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Which nonparametric test should I use
No, I verified this using many normality tests such as Shapiro-Wilk, Anderson-Darling, Chen-Shapiro, and some others.
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Which nonparametric test should I use
By the way, do you think that according to the central limit theorem that I can use parametric tests if the sample size is 38 for the first case study even if the data are not normally distributed?