Psychometrika

, Volume 69, Issue 1, pp 5–32 | Cite as

Building an identifiable latent class model with covariate effects on underlying and measured variables

  • Guan-Hua Huang
  • Karen Bandeen-Roche
Theory And Methods

Abstract

In recent years, latent class models have proven useful for analyzing relationships between measured multiple indicators and covariates of interest. Such models summarize shared features of the multiple indicators as an underlying categorical variable, and the indicators' substantive associations with predictors are built directly and indirectly in unique model parameters. In this paper, we provide a detailed study on the theory and application of building models that allow mediated relationships between primary predictors and latent class membership, but that also allow direct effects of secondary covariates on the indicators themselves. Theory for model identification is developed. We detail an Expectation-Maximization algorithm for parameter estimation, standard error calculation, and convergent properties. Comparison of the proposed model with models underlying existing latent class modeling software is provided. A detailed analysis of how visual impairments affect older persons' functioning requiring distance vision is used for illustration.

Key words

EM algorithm finite mixture model identifiability multiple discrete indicators visual functioning 

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Copyright information

© The Psychometric Society 2004

Authors and Affiliations

  • Guan-Hua Huang
    • 1
  • Karen Bandeen-Roche
    • 3
  1. 1.University of WisconsinMadison
  2. 2.Institute of StatisticsNational Chiao Tung UniversityHsinchuTaiwan
  3. 3.The Johns Hopkins UniversityBaltimore

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