Minimum detectable effect size for main outcomes (accounting for sample
design and clustering)
Power calculations assume approximately 4,500 completed survey responses, individual-level randomization, five approximately equally sized experimental arms, a two-sided significance level of 5%, and 80% statistical power. With approximately 900 respondents per experimental arm, the study is powered to detect a minimum effect of approximately 0.13 standard deviations in a comparison between any single treatment arm and the no-prompt control group. Because treatment is randomized at the individual level and is not clustered, no adjustment for clustering is required. Comparisons that pool multiple treatment arms will have greater statistical power.