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() |
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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