Minimum detectable effect size for main outcomes (accounting for sample
design and clustering)
Based on power calculations, we aim for a sample of 230 firms, divided equally between the three treatment arms. Assuming a standardized effect size of d = 0.43, 80% power, and 90% confidence level, and individual-level randomization, with equal shares across treatment groups, the design would require about 76 observations per treatment arm. The standardized effect size is taken from the meta-analysis by on the effectiveness of nudges by Mertens et al. 2022.
Mertens, S., Herberz, M., Hahnel, U.J.J., Brosch, T., 2022. The effectiveness of nudging: A meta-analysis of choice architecture interventions across behavioral domains. Proceedings of the National Academy of Sciences 119