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What is the meaning of eta11/1/2023 ![]() ![]() These results match the p-values shown in the output of the ANOVA table. We would conclude that the effect size for exercise is very large while the effect size for gender is quite small. We can then calculate Eta squared for gender and exercise as follows: We can calculate SS total, the total sum of squares, as follows: 15.8 + 505.6 + 89.2 = 610.6. The following table shows the results of a two-way ANOVA using exercise and gender as factors and weight loss as the response variable: Df Sum Sq Mean Sq F value p value To test this, we recruit 30 men and 30 women to participate in an experiment in which we randomly assign 10 of each to follow a program of either no exercise, light exercise, or intense exercise for one month. Suppose we want to determine if exercise intensity and gender impact weight loss. The following rules of thumb are used to interpret values for Eta squared: The value for Eta squared ranges from 0 to 1, where values closer to 1 indicate a higher proportion of variance that can be explained by a given variable in the model. SS total: The total sum of squares in the ANOVA model.SS effect: The sum of squares of an effect for one variable.The formula to calculate Eta squared is straightforward: It measures the proportion of variance associated with each main effect and interaction effect in an ANOVA model. Eta squared is a measure of effect size that is commonly used in ANOVA models. ![]()
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