Minimum detectable effect size for main outcomes (accounting for sample
design and clustering)
The study will conduct enrollment over a period of three years. During this period, we will track interim outcomes while continuing to enroll participants. The primary comparison will be between households who receive the School to Housing program services (Treatment 1), including housing search support, rental assistance, and case management, and those who are assigned to the control group. Additional comparisons will be made between households who receive the permanent rental subsidy vouchers (Treatment 2) and the control group, and between households who receive Treatment 1 and households who receive Treatment 2.
For three years of enrollment, we anticipate enrolling approximately 1,440 families, with 420 families in Treatment 1, 155 families in Treatment 2, and 865 families in the control group. The primary housing outcome is HMIS contact. According to estimates from Hennepin County’s 2023-2024 HUD data and the 2023 American Community Survey, we estimate that 9.57% of low-income families with children have contacted the local HMIS hotline. With an expected program take-up of 80%, we are powered to detect a 5.78 percentage point decrease in the likelihood of contact with HMIS for families assigned to Treatment 1, which corresponds to a 60% decline. With an anticipated take-up rate of 80% for Treatment 2, we are powered to detect a 7.54 percentage point decrease, or a 79% decline, compared to the baseline mean.
Additionally, we will measure school absences as a primary educational outcome. According to a Minn-LInK brief by Dupuis and Powell (2023) that examined homeless and highly mobile students in Minneapolis between 2014-2015, the mean number of absences in an academic year for this population is 14.49 days. Using standard deviation estimates that are 0.75 - 1.25 times the mean, we are powered to detect a 2.14 to 3.58 day decrease in the number of school absences in an academic year for children in Treatment 1, equivalent to a 15% to 25% decrease. For children in Treatment 2, we are powered to detect a 2.79 to 4.64 day decrease, or a 19% to 32% decrease.