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Cohen's  is the appropriate effect size méasure to use in the context of an F-test for multiple correlation or multiple regression. The  effect size méasure for multiple regression is defined as:

where  is the squared multiple correlation.

The  effect size méasure for hierarchical multiple regression is defined as:

where  is the variance accounted for by a set of one or more independent variables A, and  is the combined variance accounted for by A and another set of one or more independent variables B.

By convention,  effect sizes of 0.02, 0.15, and 0.35 are considered small, medium, and large, respectively (Cohen, 1988).