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Model based clustering of high-dimensional binary data

Yang Tang, Ryan P. Browne and Paul D. McNicholas

Computational Statistics & Data Analysis, 2015, vol. 87, issue C, 84-101

Abstract: A mixture of latent trait models with common slope parameters for model-based clustering of high-dimensional binary data, a data type for which few established methods exist, is proposed. Recent work on clustering of binary data, based on a d-dimensional Gaussian latent variable, is extended by incorporating common factor analyzers. Accordingly, this approach facilitates a low-dimensional visual representation of the clusters. The model is further extended by the incorporation of random block effects. The dependencies in each block are taken into account through block-specific parameters that are considered to be random variables. A variational approximation to the likelihood is exploited to derive a fast algorithm for determining the model parameters. Real and simulated data are used to demonstrate this approach.

Keywords: Binary data; Clustering; Data visualization; High dimension; Latent variables; Mixture models (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:csdana:v:87:y:2015:i:c:p:84-101

DOI: 10.1016/j.csda.2014.12.009

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