Reference Table for Choosing a Statistical Test


Goal

Measurement (Normally Distributed Population)

Rank, Score, or Measurement (non-Normal)

Binomial
(Two Possible Outcomes)

Describe one group

Mean, SD

Median, interquartile range

Proportion

Compare one group to a hypothetical value

One-sample t test

Wilcoxon test

Chi-square
or
Binomial test

Compare two independent samples

Unpaired t test

Mann-Whitney test (Wilcoxon rank-sum test)

Fisher's test
(chi-square for large samples)

Compare two paired groups

Paired t test

Wilcoxon test or sign test

Compare three or more unmatched groups

One-way ANOVA

Kruskal-Wallis test

Chi-square test

Compare three or more matched groups

Repeated-measures ANOVA

Quantify association between two variables

Pearson correlation

Spearman correlation

Contingency coefficients

Predict value from another measured variable

Simple linear regression
Predict value from several measured or binomial variables

Multiple linear regression