Minimum detectable effect size for main outcomes (accounting for sample
design and clustering)
In our previous study (Higuchi et al. 2023), we conducted the Joy-of-Destruction (JoD) game in 2020 with 1,679 households in Bangladesh, using the same payment options as planned for this study. The mean payment observed was 23.9 BDT, with a standard deviation of 28.1.
For the current study, we have calculated the power and minimum detectable effect (MDE). With an established false discovery rate of 0.05 and a power of 0.80, our analysis suggests that for the comparison between Treatment 1 and the control group, having approximately 400 participants in each group is optimal. This leads to a planned total sample size of 800.
With this sample size, the estimated MDE is 0.20, which translates to about 5.6 BDT, based on the results from our previous study. We consider this MDE to be reasonable for the current experiment. Our previous research demonstrated that being one standard deviation farther from the refugee camp increased the amount paid in the JoD game by up to 7.5 BDT. Therefore, an MDE of 5.6 BDT, with the set parameters for false discovery rate and power, seems within a sensible range to detect significant effects in our study.
Higuchi, Y., K. Higashida, M.M. Hossain, M. Sujauddin, R. Takahashi, and K. Tanaka. 2023. From Hospitality to Hostility: Impact of the Rohingya Refugee Influx on the Sentiments of Host Communities. Available at SSRN: https://ssrn.com/abstract=4348051