Minimum detectable effect size for main outcomes (accounting for sample
design and clustering)
With a planned sample of 2,500 observations per sample, distributed equally across the five experimental conditions, the study has 88% power to detect effect sizes of 0.2 standard deviations between the baseline and each treatment group.
For the bureaucrat sample, the power calculations additionally require an assumption about the average response rate. Based on previous studies that recruited respondents in the German public administration by postal invitation, we assume a response rate of about 30%.
Under this assumption, we plan to send the survey invitation to between 7,500 and 10,000 municipal administrative units. In larger municipalities, we sample multiple administrative units within the same municipality.