How do you calculate sample size for a three way ANOVA model with 3rd interaction?

03 March 2014 0 6K Report

I have Three factors A, B and C with levels 15, 2, and 2 respectively. The standard deviation of population is 1.8 from pilot survey. I want to fit three way ANOVA model:

y_jikl=mu+alpha_i+beta_j+gamma_k+(alpha*beta)_ij+(alpha*gamma)_ik+()ijk+error_ijkl

Our main hypothesis is to find best level of factor A with interaction levels of B and C. How do you calculate sample size for testing this hypothesis? And could you give me the R/SAS code for calculating sample size by simulation?

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