Calculating Eta-Squared (η²) After AVOVA Test

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The simplest way to measure the proportion of variance explained in an analysis of variance is to divide the sum of squares between groups by the sum of squares total. This ratio represents the proportion of variance explained. It is called eta squared or η².

If there is no error variance, then the sum of squares between equals the sum of squares total and η² = 1. If all the groups means are equal, then sum of squares between equals zero and η² = 0. In the former case, 100% of the variance is explained by the treatment; in the latter case, 0% of the variance is explained.

[keltoummansouri]

Thank you it is very helpful. I am wondering how we calculate eta squared for two-way ANOVA with one within-group variable, one between-group variable, and the interaction between the two?