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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