Published by the Foundation for Open Access Statistics Editors-in-chief: Bettina Grün, Torsten Hothorn, Edzer Pebesma, Achim Zeileis    ISSN 1548-7660; CODEN JSSOBK
Authors: Michel Meulders, Philippe De Bruecker
Title: Latent Class Probabilistic Latent Feature Analysis of Three-Way Three-Mode Binary Data
Abstract: The analysis of binary three-way data (i.e., persons who indicate which attributes apply to each of a set of objects) may be of interest in several substantive domains as sensory profiling, marketing research or personality assessment. Latent class probabilistic latent feature models (LCPLFMs) may be used to explain binary object-attribute associations on the basis of a small number of binary latent variables (called latent features). As LCPLFMs aim to model object-attribute associations using a small number of latent features they may be more suited to analyze data with many objects/attributes than standard multilevel latent class models which do not include such a dimension reduction. In this paper we describe new functions of the plfm package for analyzing binary three-way data with LCPLFMs. The new functions provide a flexible modeling approach as they allow to (1) specify different assumptions for modeling statistical dependencies between object-attribute pairs, (2) use different assumptions for modeling parameter heterogeneity across persons, (3) conduct a confirmatory analysis by constraining specific parameters to pre-specified values, (4) inspect results with print, summary and plot methods. As an illustration, the models are applied to analyze data on the perception of midsize cars, and to study the situational determinants of anger-related behavior.

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Paper: Latent Class Probabilistic Latent Feature Analysis of Three-Way Three-Mode Binary Data     Download PDF (Downloads: 516)
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plfm_2.2.2.tar.gz: R source package Download (Downloads: 35; 105KB)
v87i01.R: R replication code Download (Downloads: 35; 20KB)

DOI: 10.18637/jss.v087.i01

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Code: GNU General Public License (at least one of version 2 or version 3) or a GPL-compatible license.