Analysis
REGRESSION, SECONDARY
We calculated sample characteristics, examined patterns of network connections between communities and described the composition of network connections.For the primary analysis, we examined heterogeneity in the effect of the individual offer on HIV testing uptake across strata defined by the dichotomized family offer (≥1 vs. 0). We fitted a linear probability regression model with a two‐way interaction encoding the extent to which the causal effect of individual offer is modified by dichotomized family offer. (See Measures sub‐section for the definition of “family offer.”) In a secondary analysis, we examined heterogeneity across strata defined by ordinal family offer. We fitted a linear probability model with two‐way interaction terms encoding the extent to which the causal effect of individual offer is modified by family offer levels of zero, one, two, three, four and five or more. We conducted a linear trend test. Finally, we conducted sensitivity analyses which we report in a Supplementary Note.Models were fitted using robust standard errors, accounting for clustering at the community level. We did not formally adjust for multiple testing as we conducted only three hypothesis tests.