Biclustering Models for Two-Mode Ordinal Data

Eleni Matechou (), Ivy Liu, Daniel Fernández, Miguel Farias and Bergljot Gjelsvik
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Eleni Matechou: University of Kent
Ivy Liu: Victoria University of Wellington
Daniel Fernández: Victoria University of Wellington
Miguel Farias: Coventry University
Bergljot Gjelsvik: University of Oxford

Psychometrika, 2016, vol. 81, issue 3, No 2, 624 pages

Abstract: Abstract The work in this paper introduces finite mixture models that can be used to simultaneously cluster the rows and columns of two-mode ordinal categorical response data, such as those resulting from Likert scale responses. We use the popular proportional odds parameterisation and propose models which provide insights into major patterns in the data. Model-fitting is performed using the EM algorithm, and a fuzzy allocation of rows and columns to corresponding clusters is obtained. The clustering ability of the models is evaluated in a simulation study and demonstrated using two real data sets.

Keywords: EM algorithm; fuzzy clustering; Likert scale; proportional odds (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (4)

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DOI: 10.1007/s11336-016-9503-3

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