Which test is appropriate for 3 or more related samples of ordinal data?

The Friedman two-way ANOVA is suitable for analyzing three or more related samples of ordinal data because it is specifically designed to assess differences in treatments across multiple test attempts. This non-parametric statistical test evaluates the null hypothesis that the distributions of the related groups are identical. It is particularly useful in situations where the data are not normally distributed or when the sample sizes are small, which is often the case with ordinal data.

In the context of three or more related samples, the Friedman test considers each sample's rank and assesses whether the ranks significantly differ across the related groups. This enables researchers to determine if there are consistent trends in the ranking of the samples without making assumptions about the underlying data distribution.

The other tests mentioned cater to different scenarios or types of data. For example, some are meant for categorical data or are focused on two related samples, which makes them unsuitable for situations involving three or more related samples of ordinal data.