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Estimating parameters of dichotomous and ordinal item response models with gllamm

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  • Xiaohui Zheng

    ()
    (Graduate School of Education, University of California, Berkeley)

  • Sophia Rabe-Hesketh

    (Graduate School of Education, University of California, Berkeley)

Abstract

Item response theory models are measurement models for categorical responses. Traditionally, the models are used in educational testing, where responses to test items can be viewed as indirect measures of latent ability. The test items are scored either dichotomously (correct–incorrect) or by using an ordinal scale (a grade from poor to excellent). Item response models also apply equally for measurement of other latent traits. Here we describe the one- and two-parameter logit models for dichotomous items, the partial-credit and rating scale models for ordinal items, and an extension of these models where the latent variable is regressed on explanatory variables. We show how these models can be expressed as generalized linear latent and mixed models and fitted by using the user-written command gllamm. Copyright 2007 by StataCorp LP.

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Bibliographic Info

Article provided by StataCorp LP in its journal Stata Journal.

Volume (Year): 7 (2007)
Issue (Month): 3 (September)
Pages: 313-333

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Handle: RePEc:tsj:stataj:v:7:y:2007:i:3:p:313-333

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Related research

Keywords: gllamm; gllapred; latent variables; Rasch model; partial-credit model; rating scale model; latent regression; generalized linear latent and mixed model; adaptive quadrature; item response theory;

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Cited by:
  1. Monica Szeles & Alessio Fusco, 2013. "Item response theory and the measurement of deprivation: evidence from Luxembourg data," Quality & Quantity: International Journal of Methodology, Springer, vol. 47(3), pages 1545-1560, April.
  2. Maren M. Michaelsen, 2012. "Mental Health and Labour Supply – Evidence from Mexico‘s Ongoing Violent Conflicts," Ruhr Economic Papers 0378, Rheinisch-Westfälisches Institut für Wirtschaftsforschung, Ruhr-Universität Bochum, Universität Dortmund, Universität Duisburg-Essen.
  3. FAYE Ousmane & BASCHIERI Angela & FALKINGHAM Jane & MUINDI Kanyiva, 2010. "Hunger and Food Insecurity in Nairobi's Slums: An assessment using IRT models'," CEPS/INSTEAD Working Paper Series 2010-33, CEPS/INSTEAD.
  4. Raileanu Szeles, Monica & Fusco, Alessio, 2009. "Item response theory and the measurement of deprivation: Evidence from PSELL-3," IRISS Working Paper Series 2009-05, IRISS at CEPS/INSTEAD.

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