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A more general methodology for fitting global cross-ratio models for discrete longitudinal responses
Authors:M C Pardo
Institution:Department of Statistics and O.R (I), Complutense University of Madrid, 28040-Madrid, Spain
Abstract:In this paper, we focus on repeated measurement problems, comprising an interesting research area in statistics. We study longitudinal data which arise when outcomes are observed repeatedly on each experimental subject at several points. We focus on a marginal approach for this type of data with lack of independence among the observations proposed by Dale Global cross-ratio models for bivariate, discrete, ordered responses. Biometrics. 1986;42(4):909–917] for bivariate, discrete, ordered responses. We propose an alternative estimation based on divergence measures to the full likelihood method proposed in that paper. Finally, a wide simulation study and a data example that illustrates the new methodology is provided.
Keywords:longitudinal data  global cross-ratio  ordinal data  minimum divergence estimator
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