27.9 Arguments:

  • k: Number of groups
  • n: Number of observations (per group)
  • f: Effect size
  • sig.level: Significance level (Type I error probability)
  • power: Power of test (1 minus Type II error probability)

\[f = \sqrt{\frac{σ²ₘ}{σ²}}\] Where \(σ²ₘ\) is the variation of the group means and \(σ²\) is the average variation within groups (Each typically estimated).

Suggested interpretation: (this is not likely discipline appropriate):

  • \(f=0.10\) is a small effect
  • \(f=0.25\) is a medium effect
  • \(f=0.40\) is a large effect