Abstract:
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The Ohio Army National Guard Study is a panel survey examining the prevalence and risk factors of psychiatric disorders among National Guard service members. A sample of 2616 soldiers from a population of 10778 completed the first wave of the study between 2008 and 2009. Survey samples often differ from the target population due to nonresponse and under-coverage. To estimate the population prevalence of psychiatric disorders, we propose a logistic post-stratification model, in which administrative data on population race, sex, rank, age, and marital status are used to improve the survey estimates. The stratum specific prevalence rate is modeled using a partially linear model, with the post-stratification weight modeled by a penalized spline to allow nonlinear association with the outcome. Further, post-stratification variables that are related to outcome are included in the model as linear predictors. Simulation study shows that the proposed method is more efficient than the classical post-stratification or raking estimators in population proportion estimation. The proposed method also allows the estimation of prevalence of psychiatric disorders in small sub-populations.
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