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An Appraisal of Methods for the Analysis of Longitudinal Ordinal Response Data with Random Dropout Using a Nonhomogeneous Markov Model
Authors:Z. Rezaei Ghahroodi  H. Navvabpour  D. Berridge
Affiliation:1. Statistical Research and Training Center , Tehran, Iran;2. Department of Statistics, Faculty of Economics , Allameh Tabataba'i University , Tehran, Iran;3. Department of Mathematics and Statistics , Lancaster University , Lancaster, UK
Abstract:There are many methods for analyzing longitudinal ordinal response data with random dropout. These include maximum likelihood (ML), weighted estimating equations (WEEs), and multiple imputations (MI). In this article, using a Markov model where the effect of previous response on the current response is investigated as an ordinal variable, the likelihood is partitioned to simplify the use of existing software. Simulated data, generated to present a three-period longitudinal study with random dropout, are used to compare performance of ML, WEE, and MI methods in terms of standardized bias and coverage probabilities. These estimation methods are applied to a real medical data set.
Keywords:Multiple imputation  Nonhomogeneous Markov model  Random dropout  Short-period longitudinal data  Weighted estimating equations
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