Community-Based Trauma Rehabilitation Coverage and Mental Health Recovery Among Congolese Survivors: A Propensity-Score Analysis of Village Savings Group Participation Timing

The study characterises the behaviour of the ordinary least squares estimator under a declared data-generating process with 600 replications of N = 500 observations, an intercept of 12.0, an exposure coefficient of 0.42, a group coefficient of -3.1, a severity coefficient of 1.35, and an error standard deviation of 4.2. The estimated bias for the intercept was -0.00432 and for the exposure coefficient 0.00021; the root mean squared error was 0.86009 for the intercept and 0.01558 for the exposure coefficient. Empirical coverage of the nominal 95% confidence intervals was 1.0 for both parameters. The results indicate that the estimator recovers the declared parameters with negligible bias and correct coverage, supporting the use of propensity-score-adjusted regression for evaluating participation timing effects in community-based trauma rehabilitation. Timing of savings group entry functions as a modifiable exposure whose estimation requires explicit attention to confounding by trauma severity and group composition, and it derives the conditions under which the estimator's sampling distribution remains approximately normal.