Question

Which of the following is NOT a requirement for the Wilcoxon​ signed-ranks test for matched​ pairs? Choose the correct answer below.

A. The left half of the histogram of differences is roughly a mirror of its right half.

B. The data have a normal distribution.

C. The population of differences has a distribution that is approximately symmetric.

D. The data consist of matched pairs that are a simple random sample.

Answer 1

Which of the following is NOT a requirement for the Wilcoxon​ signed-ranks test for matched​ pairs?

The correct answer is option (B) The data have a normal distribution.

The Wilcoxon​ signed-ranks test for matched​ pairs is a non-parametric statistical hypothesis test used to compare two related samples, matched samples, or repeated measurements on a single sample to assess whether their population mean ranks differ.

It can be used as an alternative to the paired Student's t-test, t-test for matched pairs, or the t-test for dependent samples when the population cannot be assumed to be normally distributed. A Wilcoxon signed-rank test is a nonparametric test that can be used to determine whether two dependent samples were selected from populations having the same distribution.