Minimum detectable effect size for main outcomes (accounting for sample
design and clustering)
The sample size is based on statistical calculation. Given that the randomization unit for this experiment is at the individual level, if we aim to test the hypothesis at the significance level 0.05, with an effect size of approximately 0.20 SD, the size of sample in each experimental group with statistical power is approximately 0.80 is approximately 400 people. That means the overall sample size should be approximately 3,200 people at the end of the project. We anticipate that there will be approximately 10 percent of the sample attrition annually. Therefore, the size of sample students in the first survey should be approximately 5,500 people so that in the final year (the next 5 years) there will still be about 3,200 people in the final round.