A Dynamic Model of Post-Traumatic Stress Disorder for Military Personnel and Veterans
Difference-in-differences is one of the most common approaches for identifying and estimating the causal effect of participating in a treatment on some outcome. The untreated group never participates in the treatment, and the treated group becomes treated in the second period. However, much applied work deals with cases where there are more than two time periods and different units can become treated at different points in time. Regardless of the number of time periods, by far the leading approach in applied work is to try to estimate the effect of the treatment using a two-way fixed effects TWFE linear regression.
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Suspension of therapy is followed by rebound of viral loads to high, pre-therapy levels. However, there is significant heterogeneity in speed of rebound, with some rebounds occurring within days, weeks, or sometimes years. Li et al. We incorporate this information and viral rebound times to parametrize our model. We then investigate insights offered by our model into the underlying dynamics of the latent reservoir.