title: Direct modeling of regression effects for transition probabilities in the progressive illness-death model.
abstract: In this work, we present direct regression analysis for the transition probabilities in the possibly non-Markov progressive illness-death model. The method is based on binomial regression, where the response is the indicator of the occupancy for the given state along time. Randomly weighted score equations that are able to remove the bias due to censoring are introduced. By solving these equations, one can estimate the possibly time-varying regression coefficients, which have an immediate interpretation as covariate effects on the transition probabilities. The performance of the proposed estimator is investigated through simulations. We apply the method to data from the Registry of Systematic Lupus Erythematosus RELESSER, a multicenter registry created by the Spanish Society of Rheumatology. Specifically, we investigate the effect of age at Lupus diagnosis, sex, and ethnicity on the probability of damage and death along time. Copyright © 2017 John Wiley & Sons, Ltd.
authors.affiliation: Aix-Marseille Univ, INSERM, IRD, SESSTIM, Sciences Economiques et Sociales de la Santé et Traitement de l'Information Médicale, Marseille, France.
authors.forename: Leyla
authors.identifier: 0000-0002-1785-3857
authors.initials: L
authors.lastname: Azarang
authors.affiliation: Department of Public Health, University of Copenhagen, Copenhagen, Denmark.
authors.forename: Thomas
authors.initials: T
authors.lastname: Scheike
authors.affiliation: Statistical Inference, Decision and Operations Research (SiDOR) Group, University of Vigo, Spain.|Department of Statistics and Operations Research Centre for Biomedical Research (CINBIO), University of Vigo, Spain.
authors.forename: Jacobo
authors.initials: J
authors.lastname: de Uña-Álvarez
mesh_terms: D000367:Age Factors; D015982:Bias; D018450:Disease Progression; D005260:Female; D006801:Humans; D008180:Lupus Erythematosus, Systemic / Q000401:mortality / Q000473:pathology; D008297:Male; D008875:Middle Aged; D015233:Models, Statistical; D009026:Mortality; D011336:Probability; D012042:Registries; D012044:Regression Analysis; D018570:Risk Assessment; D012737:Sex Factors; D016019:Survival Analysis
keywords: binomial regression; censored data; illness-death model; transition probabilities