f-square Effect Size Confidence Interval Formulas

f-square Effect Size Confidence Interval Formulas

Below you will find descriptions and details for the 3 formulas that are used to compute a confidence interval for an f-square effect size.

R² confidence interval:

R<sup>2</sup> confidence interval formula

Variable definitions:
R² = squared multiple correlation
α = desired confidence interval percentage
SE_R² = standard error for R²
t = a t-value
k = number of predictors in the model
n = total sample size

R² for Cohen's f² effect size:

R<sup>2</sup> for Cohen's f<sup>2</sup> effect size formula

Variable definitions:
f² = Cohen's effect size measure for an F-test

R² standard error:

Variable definitions:
R² = squared multiple correlation
k = number of predictors in the model
n = total sample size