Partial Eta SquaredĮta squared measures the proportion of variance that a given variable accounts for out of the total variance in an ANOVA model. The p-value for exercise ( 0.00000) is much smaller than the p-value for gender (.00263), which indicates that exercise is much more significant at predicting weight loss.

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 calculate the partial eta squared for gender and exercise as follows: 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 Partial eta squared: The value for Partial 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 after accounting for variance explained by other variables in the model. SS error: The sum of squares error in the ANOVA model.SS effect: The sum of squares of an effect for one variable.Partial eta squared = SS effect / (SS effect + SS error) The formula to calculate Partial eta squared is as follows: It measures the proportion of variance explained by a given variable of the total variance remaining after accounting for variance explained by other variables in the model. Partial eta squared is a way to measure the effect size of different variables in ANOVA models.

Whats your eta mean