KinLinQ: Nonparametric basics
Which test is the best nonparametric alternative to the independent two-sample t test?
Incorrect. Review the explanation below.
CORE EXPLANATION
Mann-Whitney U
Mann-Whitney U, also called Wilcoxon rank-sum, compares two independent groups when parametric assumptions are poor.
✘ Wilcoxon signed-rank is not the best answer in this scenario.
✘ Kruskal-Wallis is not the best answer in this scenario.
✘ Pearson correlation is not the best answer in this scenario.
HIGH-YIELD RULE
Use nonparametric methods when data are ordinal, severely skewed, heavily outlier-prone, or the sample is too small for normality assumptions to be reasonable.
KEY FACTS
Mann-Whitney U (Wilcoxon rank-sum) replaces independent t test.
Wilcoxon signed-rank replaces paired t test.
Kruskal-Wallis replaces one-way ANOVA; Spearman replaces Pearson for ranked or nonnormal monotonic data.
TRAPS
Small sample alone does not automatically force a nonparametric test if data are clearly normal.
Fisher exact is an exact categorical test, not a rank test, though it is often grouped with “nonparametric basics.”
ILLUSTRATION
Five-point symptom scales and tiny skewed samples are classic rank-based test scenarios.
EXAM PEARL
Map the parametric test to its rank-based partner.