Which of the following is a non-parametric test?

The correct answer is D. Spearman’s rank correlation.

Spearman’s rank correlation is a non-parametric test that measures the strength and direction of the relationship between two variables that are ranked (ordinal) or continuous. Spearman’s rank correlation does not assume that the data follows a normal distribution or that the variables are linearly related.Spearman’s rank correlation is based on the ranks of the data rather than the actual values12

A. One-sample t-test is not correct, because it is a parametric test that compares the mean of a sample to a specified value.One-sample t-test assumes that the data follows a normal distribution and has a known population standard deviation34

B. Two-way ANOVA is not correct, because it is a parametric test that compares the means of two or more groups that are influenced by two independent factors. Two-way ANOVA assumes that the data follows a normal distribution, has homogeneous variances, and has independent observations.

C. Correlation coefficient is not correct, because it is a parametric test that measures the strength and direction of the linear relationship between two continuous variables. Correlation coefficient assumes that the data follows a bivariate normal distribution and has no outliers.