between-subjects

Hypothesis testing

| Type | No. of groups | Test | Function used | | :------------- | :------------ | :---------------------------------------------- | :----------------------- | | Parametric | > 2 | Fisher's or Welch's one-way ANOVA | stats::oneway.test() | | Non-parametric | > 2 | Kruskal-Wallis one-way ANOVA | stats::kruskal.test() | | Robust | > 2 | Heteroscedastic one-way ANOVA for trimmed means | WRS2::t1way() | | Bayes Factor | > 2 | Fisher's ANOVA | BayesFactor::anovaBF() |

Effect size estimation

| Type | No. of groups | Effect size | CI available? | Function used | | :------------- | :------------ | :----------------------------------------- | :------------ | :--------------------------------------------------------- | | Parametric | > 2 | partial eta-squared, partial omega-squared | Yes | effectsize::omega_squared(), effectsize::eta_squared() | | Non-parametric | > 2 | rank epsilon squared | Yes | effectsize::rank_epsilon_squared() | | Robust | > 2 | Explanatory measure of effect size | Yes | WRS2::t1way() | | Bayes Factor | > 2 | Bayesian R-squared | Yes | performance::r2_bayes() |

within-subjects

Hypothesis testing

| Type | No. of groups | Test | Function used | | :------------- | :------------ | :---------------------------------------------------------------- | :----------------------- | | Parametric | > 2 | One-way repeated measures ANOVA | afex::aov_ez() | | Non-parametric | > 2 | Friedman rank sum test | stats::friedman.test() | | Robust | > 2 | Heteroscedastic one-way repeated measures ANOVA for trimmed means | WRS2::rmanova() | | Bayes Factor | > 2 | One-way repeated measures ANOVA | BayesFactor::anovaBF() |

Effect size estimation

| Type | No. of groups | Effect size | CI available? | Function used | | :------------- | :------------ | :-------------------------------------------------------------- | :------------ | :--------------------------------------------------------- | | Parametric | > 2 | partial eta-squared, partial omega-squared | Yes | effectsize::omega_squared(), effectsize::eta_squared() | | Non-parametric | > 2 | Kendall's coefficient of concordance | Yes | effectsize::kendalls_w() | | Robust | > 2 | Algina-Keselman-Penfield robust standardized difference average | Yes | WRS2::wmcpAKP() | | Bayes Factor | > 2 | Bayesian R-squared | Yes | performance::r2_bayes() |



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statsExpressions documentation built on Sept. 12, 2023, 5:07 p.m.