Minimum detectable effect size for main outcomes (accounting for sample
design and clustering)
This varies by cell. Our goal is to look at the proportion of subjects that buy (vs not buy) a ticket in a given experimental cell. We then want to test for differences in proportions between cells. So let's suppose we want to test whether two promotion cells have significantly different purchase responses. Based on a pilot test, we might expect 2% response when the price is 30% off and 5% response when the price is 50% off. To test for a significant difference, we would need 1,506 subjects in each of the two cells at 5% significance level and a power level of 0.8.