Convert Partial Eta Squared to Cohen's f

Converts partial eta squared (\(\eta_p^2\)) to Cohen's f using the standard definition in Cohen (1988).

Usage

peta2_to_cohensf(peta2)

Arguments

peta2

A numeric vector of partial eta squared values. Each value must be within the range of 0 to 1.

Value

A numeric vector of Cohen's f values.

Details

The conversion is defined as: $$f = \sqrt{\eta_p^2 / (1 - \eta_p^2)}$$

This follows from the inverse relationship: $$\eta_p^2 = \frac{f^2}{1 + f^2}$$

References

Cohen, J. (1988). Statistical power analysis for the behavioral sciences (2nd ed.). Hillsdale, NJ: Lawrence Erlbaum Associates.

See also

cohensf_to_peta2

Examples

# Convert a single partial eta squared value
peta2_to_cohensf(0.06)
#> [1] 0.2526456

# Convert multiple values
peta2_to_cohensf(c(0.01, 0.06, 0.14))
#> [1] 0.1005038 0.2526456 0.4034733