A log‐linear multidimensional Rasch model for capture–recapture |
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| Authors: | E Pelle D J Hessen P G M van der Heijden |
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| Institution: | 1. Department of Economics, Statistics and Finance, University of Calabria, Arcavacata di Rende, CS, Italy;2. Department of Methodology and Statistics, Utrecht University, Utrecht, The Netherlands;3. S3RI, University of Southampton, Southampton, U.K. |
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| 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. |
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| Keywords: | Rasch model capture– recapture heterogeneity log‐linear model measurement invariance EM algorithm |
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