effectsize (version 0.4.3)

eta2_to_f2: Convert between ANOVA effect sizes

Description

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 biaed 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.

See Also

eta_squared() for more details.

Other convert between effect sizes: d_to_common_language(), d_to_r(), odds_to_probs(), oddsratio_to_riskratio()