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A non-parametric statistical test that compares two sample means from the same population to determine if they are equal

Question

A non-parametric statistical test that compares two sample means from the same population to determine if they are equal

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Solution

The statistical test you're referring to is the Wilcoxon Signed-Rank Test. Here are the steps to perform this test:

  1. Rank the absolute differences between the two samples, ignoring the signs. The smallest difference gets a rank of 1, the second smallest a rank of 2, and so on.

  2. Sum the ranks for the positive differences (T+) and the ranks for the negative differences (T-).

  3. The test statistic, T, is the smaller of T+ and T-. If both are equal, use that value.

  4. Compare T to a critical value from a table of the Wilcoxon Signed-Rank Test. If T is less than or equal to the critical value, reject the null hypothesis that the two sample means are equal.

  5. If T is greater than the critical value, do not reject the

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