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A Hierarchy for Some Latent Structure Models

Author

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  • MARK REISER

    (Arizona State University)

  • KARL F. SCHUESSLER

    (Indiana University)

Abstract

In this article we consider some latent variable models for dichotomous manifest variables that have recently appeared in sociology. The latent trait models considered are a logit/probit one-parameter, a logit/probit two-parameter, and a log-linear model. Some related latent class models for response consistency are also considered. We discuss both statistical and logical relations among these models and propose strategies for model selection, demonstrating those strategies in several examples. We also discuss the usefulness of the various models.

Suggested Citation

  • Mark Reiser & Karl F. Schuessler, 1991. "A Hierarchy for Some Latent Structure Models," Sociological Methods & Research, , vol. 19(4), pages 419-465, May.
    • Handle: RePEc:sae:somere:v:19:y:1991:i:4:p:419-465
    DOI: 10.1177/0049124191019004001
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    References listed on IDEAS

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    1. Joseph Lucke & Karl Schuessler, 1987. "Scaling social life feelings by factor analysis of binary variables," Social Indicators Research: An International and Interdisciplinary Journal for Quality-of-Life Measurement, Springer, vol. 19(4), pages 403-428, November.
    2. Jeffrey R. Wilson, 1989. "Chi‐Square Tests for Overdispersion with Multiparameter Estimates," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 38(3), pages 441-453, November.
    3. Noel Cressie & Paul Holland, 1983. "Characterizing the manifest probabilities of latent trait models," Psychometrika, Springer;The Psychometric Society, vol. 48(1), pages 129-141, March.
    4. Yoshio Takane & Jan Leeuw, 1987. "On the relationship between item response theory and factor analysis of discretized variables," Psychometrika, Springer;The Psychometric Society, vol. 52(3), pages 393-408, September.
    5. Erling Andersen, 1977. "Sufficient statistics and latent trait models," Psychometrika, Springer;The Psychometric Society, vol. 42(1), pages 69-81, March.
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