find out 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.