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Samples Categories Tests
1 2 One-sample Chi-Squared test, binomial test
1 ≥2 One-sample Chi-Squared test, multinomial test
2 ≥2 Two-sample Chi-Squared test, G-test, Fisher’s exact test
Tests of Proportion & Association
Factors Levels Between
or Within
Parametric Tests Nonparametric Tests or
Generalized Linear Models
1 2 B Independent-samples t-test Mann-Whitney U test
1 2 W Paired-samples t-test Wilcoxon signed-rank test
1 ≥2 B One-way ANOVA Kruskal-Wallis test
1 ≥2 W One-way repeated measures ANOVA Friedman test
≥2 ≥2 B Factorial ANOVA
Linear Model (LM)
Aligned Rank Transform (ART)
≥2 ≥2 W Factorial repeated measures ANOVA
Linear Mixed Model (LMM)
Aligned Rank Transform (ART)
Analyses of Variance
Assumptions &
Distributions
Normality:
Shapiro-Wilk
Homoscedasticity:
Levene
Brown-Forsythe
Sphericity:
Mauchly
Distribution tests:
Kolmogorov-Smirnov
Chi-Squared G.O.F.
Generalized Linear Model (GLM)
Generalized Linear Mixed Model (GLMM)
Table of Analyses

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Table of Analyses.pdf

  • 1. Samples Categories Tests 1 2 One-sample Chi-Squared test, binomial test 1 ≥2 One-sample Chi-Squared test, multinomial test 2 ≥2 Two-sample Chi-Squared test, G-test, Fisher’s exact test Tests of Proportion & Association Factors Levels Between or Within Parametric Tests Nonparametric Tests or Generalized Linear Models 1 2 B Independent-samples t-test Mann-Whitney U test 1 2 W Paired-samples t-test Wilcoxon signed-rank test 1 ≥2 B One-way ANOVA Kruskal-Wallis test 1 ≥2 W One-way repeated measures ANOVA Friedman test ≥2 ≥2 B Factorial ANOVA Linear Model (LM) Aligned Rank Transform (ART) ≥2 ≥2 W Factorial repeated measures ANOVA Linear Mixed Model (LMM) Aligned Rank Transform (ART) Analyses of Variance Assumptions & Distributions Normality: Shapiro-Wilk Homoscedasticity: Levene Brown-Forsythe Sphericity: Mauchly Distribution tests: Kolmogorov-Smirnov Chi-Squared G.O.F. Generalized Linear Model (GLM) Generalized Linear Mixed Model (GLMM) Table of Analyses