Minimum detectable effect size for main outcomes (accounting for sample
design and clustering)
For each cultural dimension with 200 individuals in each experimental group (with a 10% buffer for immigrants who are dropped from the main analysis), we will have 80% power to detect a 14.4% difference in the switch point, assuming a reference switch income of 52,000 in the control group (assumed based on data from a prior pilot), and standard deviation of 25,000 (assumed based on data from a prior pilot) derived from a two-sided test of means with alpha = 0.05.