143. Cheatsheet

Test Type Purpose Assumptions Non-Parametric Equivalent Non-Parametric Test Purpose Non-Parametric Test Assumptions
One-Sample t-Test Compare sample mean to a known value Normality of the sample distribution Wilcoxon Signed-Rank Test Compare median of a sample to a known value Distribution-free; does not assume normality
Independent t-Test Compare means between two independent groups Normality, equal variances in groups Mann-Whitney U Test Compare distributions between two independent groups Distribution-free; does not assume normality or equal variances
Paired t-Test Compare means between two related groups Normality of the difference scores Wilcoxon Signed-Rank Test Compare the median of paired differences Distribution-free; does not assume normality
Two-Sample t-Test Compare means between two independent groups Normality, equal variances in groups Mann-Whitney U Test Compare distributions between two independent groups Distribution-free; does not assume normality or equal variances
One-Way ANOVA Compare means across three or more groups Normality, equal variances among groups Kruskal-Wallis Test Compare distributions across three or more independent groups Distribution-free; does not assume normality or equal variances
Repeated Measures ANOVA Compare means across multiple related groups Normality, sphericity (equal variances of differences) Friedman Test Compare distributions across multiple related groups Distribution-free; does not assume normality
ANCOVA