Covert S to Cohen's f^2

Converts robust effect size index (S) to Cohen's f^2 (effect size for multiple regression) using the formula from Vandekar, Tao, & Blume (2020).

Usage

S2fsq(S)

Arguments

S

Numeric,the robust effect size index.

Value

Returns an estimate of Cohen's f^2 based on the RESI

Details

The formula for the conversion is:

\( f^2 = S^2\)

Examples

# fit a linear regression model with continuous outcome and predictor
mod = lm(charges ~ age, data = RESI::insurance)

# obtain t value for calculating RESI
t = summary(mod)$coefficients[2, "t value"]

# calculate RESI
S = t2S(t, n = 1338, rdf = 1336)

# convert to f^2
S2fsq(S)
#> [1] 0.09792731