Latent Class Probabilistic Latent Feature Analysis of Three-Way Three-Mode Binary Data

2018
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.
JOURNAL OF STATISTICAL SOFTWARE
卷号:87|期号:1
ISSN:1548-7660
收录类型
SSCI
发表日期
2018
学科领域
循证社会科学-方法
国家
比利时
语种
英语
DOI
10.18637/jss.v087.i01
其他关键词
SITUATION-BEHAVIOR PROFILES; INDIVIDUAL-DIFFERENCES; HIERARCHICAL CLASSES; MATRIX DECOMPOSITION; MIXTURE MODEL; SIMULTANEOUS COMPONENT; FINITE MIXTURES; R PACKAGE; CLASSIFICATION; REPRODUCIBILITY
被引频次(WOS)
0
被引更新日期
2022-01
来源机构
KU Leuven KU Leuven
关键词
latent feature three-way data disjunctive model conjunctive model perceptual mapping individual differences EM algorithm R