 Comparing means

The following tables provide guidance to the selection of the proper parametric or nonparametric statistical tests for a given data set.
Contents
Is there a difference ?
Ordinal and numerical measures 1 group N ≥ 30 Onesample ttest N < 30 Normally distributed Onesample ttest Not normal Sign test 2 groups Independent N ≥ 30 ttest N < 30 Normally distributed ttest Not normal Mann–Whitney U or Wilcoxon signedrank test Paired N ≥ 30 paired ttest N < 30 Normally distributed paired ttest Not normal Wilcoxon signedrank test 3 or more groups Independent Normally distributed 1 factor One way anova ≥ 2 factors two or other anova Not normal Kruskal–Wallis oneway analysis of variance by ranks Dependent Normally distributed Repeated measures anova Not normal Friedman twoway analysis of variance by ranks Nominal measures 1 group np and n(1p) ≥ 5 zapproximation np or n(1p) < 5 binomial 2 groups Independent np < 5 fisher exact test np ≥ 5 chisquare test Paired McNemar or Kappa 3 or more groups Independent np < 5 collapse categories for chisquare test np ≥ 5 chisquare test Dependent Cochran´s Q See also
Sources
 DawsonSaunders, Beth; Trapp, Robert G. (1994). Basic & Clinical Biostatistics. Lange Medical Books. ISBN 0838505422.
External links
Categories: Statistical tests
 Statistical methods
 Hypothesis testing
 Comparison of assessments
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