Analysis 2
REGRESSION
We conducted controlled, interrupted time series analyses for HIV service outcomes using segmented linear regression models to assess differences in monthly proportions and trends between the intervention and control groups over time. For these models, we used data from a longer time period than the difference-in-difference analysis to establish trends; we included one-year pre-intervention (October 2019-September 2020) and the full intervention period (October 2020-August 2021). Time was measured in calendar months.Models for each outcome were as follows, with ‘Time’ representing the number of months since the start of the baseline period, ‘Intervention’ representing the period (pre-intervention or intervention), ‘TimeAfterIntervention’ representing the number of months since the placement of the first interns (i.e., months since October 2020), and ‘Treat’ representing the treatment group (control or intervention).We were interested in the magnitude and significance of β