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Model-Based Classification of Clustered Binary Data with Non-ignorable Missing Values

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Advances in Theoretical and Applied Statistics

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Abstract

A hierarchical logistic regression model with nested, discrete random effects is proposed for the unsupervised classification of clustered binary data with non-ignorable missing values. An E-M algorithm is proposed that essentially reduces to the iterative estimation of a set of weighted logistic regressions from two augmented datasets, alternated with weights updating. The proposed approach is exploited on a sample of Chinese older adults, to cluster subjects according to their cognitive impairment and ability to cope with a Mini-Mental State Examination questionnaire.

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Correspondence to Francesco Lagona .

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Lagona, F. (2013). Model-Based Classification of Clustered Binary Data with Non-ignorable Missing Values. In: Torelli, N., Pesarin, F., Bar-Hen, A. (eds) Advances in Theoretical and Applied Statistics. Studies in Theoretical and Applied Statistics(). Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-35588-2_15

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