IDEAS home Printed from https://ideas.repec.org/a/sae/somere/v19y1991i4p419-465.html
   My bibliography  Save this article

A Hierarchy for Some Latent Structure Models

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: https://journals.sagepub.com/doi/10.1177/0049124191019004001
    Download Restriction: no
    File URL: https://libkey.io/10.1177/0049124191019004001?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Erling Andersen, 1977. "Sufficient statistics and latent trait models," Psychometrika, Springer;The Psychometric Society, vol. 42(1), pages 69-81, March.
    2. 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.
    3. 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.
    4. 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.
    5. 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.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Edward Haertel, 1990. "Continuous and discrete latent structure models for item response data," Psychometrika, Springer;The Psychometric Society, vol. 55(3), pages 477-494, September.
    2. Mark Reiser, 1996. "Analysis of residuals for the multionmial item response model," Psychometrika, Springer;The Psychometric Society, vol. 61(3), pages 509-528, September.
    3. Robert Mislevy & Kathleen Sheehan, 1989. "The role of collateral information about examinees in item parameter estimation," Psychometrika, Springer;The Psychometric Society, vol. 54(4), pages 661-679, September.
    4. Roberto Burro & Riccardo Sartori & Giulio Vidotto, 2011. "The method of constant stimuli with three rating categories and the use of Rasch models," Quality & Quantity: International Journal of Methodology, Springer, vol. 45(1), pages 43-58, January.
    5. de Leeuw, Jan, 2006. "Principal component analysis of binary data by iterated singular value decomposition," Computational Statistics & Data Analysis, Elsevier, vol. 50(1), pages 21-39, January.
    6. A. Béguin & C. Glas, 2001. "MCMC estimation and some model-fit analysis of multidimensional IRT models," Psychometrika, Springer;The Psychometric Society, vol. 66(4), pages 541-561, December.
    7. David Andrich, 1995. "Further remarks on nondichotomization of graded responses," Psychometrika, Springer;The Psychometric Society, vol. 60(1), pages 37-46, March.
    8. Christoph T. Weiss, 2012. "Persistent Attitudes and Behaviors," "Marco Fanno" Working Papers 0143, Dipartimento di Scienze Economiche "Marco Fanno".
    9. Francesco Bartolucci & Ivonne Solis-Trapala, 2010. "Multidimensional Latent Markov Models in a Developmental Study of Inhibitory Control and Attentional Flexibility in Early Childhood," Psychometrika, Springer;The Psychometric Society, vol. 75(4), pages 725-743, December.
    10. Molenaar, Dylan & Kő, Natasa & Rózsa, Sandor & Mészáros, Andrea, 2017. "Differentiation of cognitive abilities in the WAIS-IV at the item level," Intelligence, Elsevier, vol. 65(C), pages 48-59.
    11. Yang Yixin & Lü Xin & Ma Jian & Qiao Han, 2014. "A Robust Factor Analysis Model for Dichotomous Data," Journal of Systems Science and Information, De Gruyter, vol. 2(5), pages 437-450, October.
    12. Chun Wang & Steven W. Nydick, 2020. "On Longitudinal Item Response Theory Models: A Didactic," Journal of Educational and Behavioral Statistics, , vol. 45(3), pages 339-368, June.
    13. David J. Hessen, 2023. "Fitting and Testing Log-Linear Subpopulation Models with Known Support," Psychometrika, Springer;The Psychometric Society, vol. 88(3), pages 917-939, September.
    14. Yong Luo & Khaleel Al-Harbi, 2016. "The Utility of the Bifactor Method for Unidimensionality Assessment When Other Methods Disagree," SAGE Open, , vol. 6(4), pages 21582440166, October.
    15. Thum, Anna-Elisabeth, 2013. "Psychology in econometric models: conceptual and methodological foundations," MPRA Paper 52293, University Library of Munich, Germany.
    16. Michael Edwards, 2010. "A Markov Chain Monte Carlo Approach to Confirmatory Item Factor Analysis," Psychometrika, Springer;The Psychometric Society, vol. 75(3), pages 474-497, September.
    17. Royce Anders & William Batchelder, 2015. "Cultural Consensus Theory for the Ordinal Data Case," Psychometrika, Springer;The Psychometric Society, vol. 80(1), pages 151-181, March.
    18. Yang Liu, 2020. "A Riemannian Optimization Algorithm for Joint Maximum Likelihood Estimation of High-Dimensional Exploratory Item Factor Analysis," Psychometrika, Springer;The Psychometric Society, vol. 85(2), pages 439-468, June.
    19. Paul Holland, 1990. "On the sampling theory roundations of item response theory models," Psychometrika, Springer;The Psychometric Society, vol. 55(4), pages 577-601, December.
    20. Anna Brown, 2016. "Item Response Models for Forced-Choice Questionnaires: A Common Framework," Psychometrika, Springer;The Psychometric Society, vol. 81(1), pages 135-160, March.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:sae:somere:v:19:y:1991:i:4:p:419-465. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: SAGE Publications (email available below). General contact details of provider: .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.