Conversion from Cohen's f to R-squared

Helper function to convert between Cohen's f and R-squared.

Usage

rsq.to.f(r.squared.full, r.squared.reduced = 0, verbose = TRUE)

  f.to.rsq(f, r.squared.full = NULL, verbose = TRUE)

Arguments

f: Cohen's f.
r.squared.full: R-squared for the full model.
r.squared.reduced: R-squared for the reduced model.
verbose: logical; whether the output should be printed on the console. TRUE by default.

Value

f: Cohen's f.
f.squared: Cohen's f-squared.
r.squared.full: R-squared for the full model.
r.squared.reduced: R-squared for the reduced model.

References

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

Selya, A. S., Rose, J. S., Dierker, L. C., Hedeker, D., & Mermelstein, R. J. (2012). A practical guide to calculating Cohen's f2, a measure of local effect size, from PROC MIXED. Frontiers in Psychology, 3, 111. doi:10.3389/fpsyg.2012.00111

Examples

  f.to.rsq(f = 0.10) # small
#>         f.squared                 f    r.squared.full r.squared.reduced 
#>        0.01000000        0.10000000        0.00990099        0.00000000 
  f.to.rsq(f = 0.25) # medium
#>         f.squared                 f    r.squared.full r.squared.reduced 
#>        0.06250000        0.25000000        0.05882353        0.00000000 
  f.to.rsq(f = 0.40) # large
#>         f.squared                 f    r.squared.full r.squared.reduced 
#>          0.160000          0.400000          0.137931          0.000000