title: Point source modeling of matched case-control data with multiple disease subtypes.
abstract: In this paper, we propose nonlinear distance-odds models investigating elevated odds around point sources of exposure, under a matched case-control design where there are subtypes within cases. We consider models analogous to the polychotomous logit models and adjacent-category logit models for categorical outcomes and extend them to the nonlinear distance-odds context. We consider multiple point sources as well as covariate adjustments. We evaluate maximum likelihood, profile likelihood, iteratively reweighted least squares, and a hierarchical Bayesian approach using Markov chain Monte Carlo techniques under these distance-odds models. We compare these methods using an extensive simulation study and show that with multiple parameters and a nonlinear model, Bayesian methods have advantages in terms of estimation stability, precision, and interpretation. We illustrate the methods by analyzing Medicaid claims data corresponding to the pediatric asthma population in Detroit, Michigan, from 2004 to 2006.
authors: Department of Biostatistics, School of Public Health, University of Michigan, Ann Arbor, MI 48109, USA.
authors: Shi
authors: S
authors: Li
authors: Bhramar
authors: B
authors: Mukherjee
authors: Stuart
authors: S
authors: Batterman
mesh_terms: D000293:Adolescent; D001249:Asthma / Q000191:economics / Q000453:epidemiology* / Q000209:etiology; D001499:Bayes Theorem; D016022:Case-Control Studies; D002648:Child; D002675:Child, Preschool; D003198:Computer Simulation; D004781:Environmental Exposure / Q000009:adverse effects / Q000706:statistics & numerical data; D005260:Female; D062305:Geographic Mapping; D006801:Humans; D007345:Insurance Claim Review; D016013:Likelihood Functions; D016015:Logistic Models; D008297:Male; D008484:Medicaid / Q000191:economics / Q000706:statistics & numerical data; D008824:Michigan / Q000453:epidemiology; D017711:Nonlinear Dynamics; D014481:United States; D001335:Vehicle Emissions
chemical_list: D001335:Vehicle Emissions