Convert Between ANOVA Effect Sizes

## Usage

eta2_to_f2(es)

eta2_to_f(es)

f2_to_eta2(f2)

f_to_eta2(f)

## Arguments

es

Any measure of variance explained such as Eta-, Epsilon-, Omega-, or R-Squared, partial or otherwise. See details.

f, f2

Cohen's f or f-squared.

## Details

Any measure of variance explained can be converted to a corresponding Cohen's f via:

$$f^2 = \frac{\eta^2}{1 - \eta^2}$$

$$\eta^2 = \frac{f^2}{1 + f^2}$$

If a partial Eta-Squared is used, the resulting Cohen's f is a partial-Cohen's f; If a less biased estimate of variance explained is used (such as Epsilon- or Omega-Squared), the resulting Cohen's f is likewise a less biased estimate of Cohen's f.

## References

• Cohen, J. (1988). Statistical power analysis for the behavioral sciences (2nd Ed.). New York: Routledge.

• Steiger, J. H. (2004). Beyond the F test: Effect size confidence intervals and tests of close fit in the analysis of variance and contrast analysis. Psychological Methods, 9, 164-182.

eta_squared() for more details.
Other convert between effect sizes: d_to_r(), diff_to_cles, odds_to_probs(), oddsratio_to_riskratio()