Minimum detectable effect size for main outcomes (accounting for sample
design and clustering)
The study will initially have 17 months of enrollment, though we also plan to track interim outcomes while the study is still enrolling. Based on 2023 program application data, we anticipate that during our 17-month enrollment period, we will have 3600 eligible households, with 510 assigned to T1 (rental assistance) and 510 assigned to T2 (rental assistance + case management), and approximately 2240 households to control.
For simplicity, the power calculations reported below assume (conservatively) 1 tenant per household, and report (also conservatively) the MDE for T1 differing from the control in a two-sided test. We conduct power calculations for outcomes measured at 1 year from randomization, assuming a desired power of 80 percent and significance level of 5 percent, and assuming a 66 percent one-sided compliance rate:
Eviction judgment (indicator). Assuming a control mean of 0.25 and standard deviation (s.d.) of 0.40 the MDE is -8.3 pp
Emergency shelter entry (indicator). Assuming a control group mean of 0.04 and s.d. of 0.08, the MDE for this study is -1.67 pp
Earnings (quarterly in USD). Assuming mean quarterly earnings of $4,300 and a s.d. of $3,809, the MDE is $794.