Minimum detectable effect size for main outcomes (accounting for sample
design and clustering)
Using a participant-level randomized cluster, and treatment at level 2, we conducted a power calculation to determine the number of clusters needed to have a sufficiently powered study. We used a standard alpha of .05. Estimated effect size was drawn directly from the pilot study (Francis, de Oliveira, and Dimmitt, 2019). Due to the overall goals of the future study, we used the effect size of Black Female students in assignment to AP coursework, which had an effect size of 0.2. The calculated variance in effect size was 0.32. The r-squared was also pulled directly from the pilot study at 0.249. The sample size is determined by the number of tests within the cluster, each cluster has four experimental evaluations (not counting the two baseline evaluations). Using Optimal Design software, this presented us with a needed sample size of 218 evaluations per hypothesis. With 2 racial groups, 2 genders, 3 SES levels, and 2 statistical discrimination groupings, we have 24 total hypotheses (2x2x3x2) for our main analysis. The required number of evaluations would be 5,232. Each counselor will conduct four experimental evaluations for a total of 1,308 counselors required.