Fuzzy clusterwise generalized structured component analysis

Heungsun Hwang, Wayne Desarbo, Yoshio Takane

Research output: Contribution to journalArticle

40 Citations (Scopus)

Abstract

Generalized Structured Component Analysis (GSCA) was recently introduced by Hwang and Takane (2004) as a component-based approach to path analysis with latent variables. The parameters of GSCA are estimated by pooling data across respondents under the implicit assumption that they all come from a single, homogenous group. However, as has been empirically demonstrated by various researchers across a number of areas of inquiry, such aggregate analyses can often mask the true structure in data when respondent heterogeneity is present. In this paper, GSCA is generalized to a fuzzy clustering framework so as to account for potential group-level respondent heterogeneity. An alternating least-squares procedure is developed and technically described for parameter estimation. A small-scale Monte Carlo study involving synthetic data is carried out to compare the performance between the proposed method and an extant approach. In addition, an empirical application concerning alcohol use among adolescents from US northwestern urban areas is presented to illustrate the usefulness of the proposed method. Finally, a number of directions for future research are provided.

Original languageEnglish (US)
Pages (from-to)181-198
Number of pages18
JournalPsychometrika
Volume72
Issue number2
DOIs
StatePublished - Jun 1 2007

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Fuzzy clustering
Parameter estimation
Masks
Alcohols
Least-Squares Analysis
Alternating Least Squares
Path Analysis
Cluster Analysis
Meta-Analysis
Pooling
Urban Areas
Fuzzy Clustering
Latent Variables
Alcohol
Monte Carlo Study
Synthetic Data
Research Personnel
Mask
Parameter Estimation
Surveys and Questionnaires

All Science Journal Classification (ASJC) codes

  • Psychology(all)
  • Applied Mathematics

Cite this

Hwang, Heungsun ; Desarbo, Wayne ; Takane, Yoshio. / Fuzzy clusterwise generalized structured component analysis. In: Psychometrika. 2007 ; Vol. 72, No. 2. pp. 181-198.
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Fuzzy clusterwise generalized structured component analysis. / Hwang, Heungsun; Desarbo, Wayne; Takane, Yoshio.

In: Psychometrika, Vol. 72, No. 2, 01.06.2007, p. 181-198.

Research output: Contribution to journalArticle

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