Fuzzy Clusterwise Generalized Structured Component Analysis

Psychometrika, Vol. 72, No. 2, pp.181-198, 2007

Posted: 11 Jun 2016

See all articles by Heungsun Hwang

Heungsun Hwang

McGill University

Wayne S. DeSarbo

Pennsylvania State University

Yoshio Takane

McGill University

Date Written: June 2007

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.

Keywords: generalized structured component analysis, fuzzy clustering, respondent heterogeneity, alternating least squares, latent curve models, alcohol use

Suggested Citation

Hwang, Heungsun and DeSarbo, Wayne S. and Takane, Yoshio, Fuzzy Clusterwise Generalized Structured Component Analysis (June 2007). Psychometrika, Vol. 72, No. 2, pp.181-198, 2007, Available at SSRN: https://ssrn.com/abstract=2793497

Heungsun Hwang (Contact Author)

McGill University ( email )

1001 Sherbrooke St. W
Montreal, Quebec H3A 1G5
Canada

Wayne S. DeSarbo

Pennsylvania State University ( email )

University Park
State College, PA 16802
United States

Yoshio Takane

McGill University

1001 Sherbrooke St. W
Montreal, Quebec H3A 1G5
Canada

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