2. Calculate the sample size needed given these factors:

ANOVA (fixed effects, omnibus, one-way)

small effect size

alpha =.05

beta = .2

3 groups

Assume that the result is a sample size beyond what you can obtain. Use the compromise function to compute alpha and beta for a sample approximately half the size. Give your rationale for your selected beta/alpha ratio. Indicate the resulting alpha and beta. Give an argument that your study is worth doing with the smaller sample.

I think I have the first part of the question answered using a gpower analysis tool as required by class, the total sample size would be 969. it is the second part the question using the compromise function for half the size and rational for the selected beta/alpha ratio (which I think is 4?) that I want to double check and see if I am doing right. I would enter a sample size of 387, effect size 10, groups 3, beta/alpha ratio 4 and get an alpha of .11 and .44. From talking to others I am seeing that an argument for doing the study with a smaller sample is that an ANOVA can be as little as 8 per group in this case, which I am not following. Thanks for the help.