A log‐linear multidimensional Rasch model for capture–recapture. (30th September 2015)

• Record Type: Journal Article
• Authors: Pelle, E.; Hessen, D. J.; van der Heijden, P. G. M.
• Is Part Of: Statistics in medicine. Volume 35:Number 4(2016)
• Page Start: 622
• Page End: 634
• Publication Date: 2015-09-30
• Subjects: Rasch model -- capture–recapture -- heterogeneity -- log‐linear model -- measurement invariance -- EM algorithm; Medical statistics -- Periodicals; Statistique médicale -- Périodiques; Statistiques médicales -- Périodiques; 610.727
• DOI: 10.1002/sim.6741
• Languages: English
• ISSNs: 0277-6715

Abstract

Abstract : In this paper, a log‐linear multidimensional Rasch model is proposed for capture–recapture analysis of registration data. In the model, heterogeneity of capture probabilities is taken into account, and registrations are viewed as dichotomously scored indicators of one or more latent variables that can account for correlations among registrations. It is shown how the probability of a generic capture profile is expressed under the log‐linear multidimensional Rasch model and how the parameters of the traditional log‐linear model are derived from those of the log‐linear multidimensional Rasch model. Finally, an application of the model to neural tube defects data is presented. Copyright © 2015 John Wiley & Sons, Ltd.