Parametric Non-parametric
Assumed distribution Normal Any
Assumed variance Homogeneous Any
Typical data Ratio or Interval Ordinal or Nominal
Data set relationships Independent Any
Usual central measure Mean Median
Benefits Can draw more conclusions Simplicity; Less affected by outliers
Tests
Choosing Choosing parametric test Choosing a non-parametric test
Correlation test Pearson Spearman
Independent measures, 2 groups Independent-measures t-test Mann-Whitney test
Independent measures, >2 groups One-way, independent-measures ANOVA Kruskal-Wallis test
Repeated measures, 2 conditions Matched-pair t-test
Wilcoxon test
Repeated measures, >2 conditions One-way, repeated measures ANOVA Friedman's test
Parametric Non-parametric
Assumed distribution Normal Any
Assumed variance Homogeneous Any
Typical data Ratio or Interval Ordinal or Nominal
Data set relationships Independent Any
Usual central measure Mean Median
Benefits Can draw more conclusions Simplicity; Less affected by outliers
Tests
Choosing Choosing parametric test Choosing a non-parametric test
Correlation test Pearson Spearman
Independent measures, 2 groups Independent-measures t-test Mann-Whitney test
Independent measures, >2 groups One-way, independent-measures ANOVA Kruskal-Wallis test
Repeated measures, 2 conditions Matched-pair t-test
Wilcoxon test
Repeated measures, >2 conditions One-way, repeated measures ANOVA Friedman's test
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