Minimum detectable effect size for main outcomes (accounting for sample
design and clustering)
Power calculations assume individual-level randomization with no clustering, two-sided tests at the 5% significance level, and 80% power. With 6,000 employees equally split between treatment and control (3,000 per arm), the study is powered to detect a minimum effect of approximately 0.07 standard deviations for continuous outcomes. For binary outcomes, the minimum detectable effect ranges from about 2.4 to 3.6 percentage points depending on the control-group mean. For survey-based outcomes, the detectable effect will be larger to the extent that endline response is below 100%; for example, with 70% response, the MDE for continuous outcomes is approximately 0.086 standard deviations.