Hierarchical Multiple Regression F-Value Formulas

Hierarchical Multiple Regression F-Value Formulas

Below you will find descriptions and details for the 2 formulas that are used to compute F-values (values from the F-distribution) for hierarchical multiple regression studies.

Effect size for hierarchical multiple regression studies:

Variable definitions:
R²_A = variance accounted for by a set of one or more independent variables A
R²_AB = combined variance accounted for by A and another set of one or more independent variables B

F-value for hierarchical multiple regression studies:

Variable definitions:
f² = effect size for hierarchical multiple regression
k_A and k_B = the number of predictors in A and B
n = total sample size