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Estimating parameters of dichotomous and ordinal item response models with gllamm AgEcon
Zheng, Xiaohui; Rabe-Hesketh, Sophia.
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...
Tipo: Article Palavras-chave: 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; Research Methods/ Statistical Methods.
Ano: 2007 URL: http://purl.umn.edu/119279
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Rasch analysis: Estimation and tests with raschtest AgEcon
Hardouin, Jean-Benoit.
Analyzing latent variables is becoming more and more important in several fields, such as clinical research, psychology, educational sciences, ecology, and epidemiology. The item response theory allows analyzing latent variables measured by questionnaires of items with binary or ordinal responses. The Rasch model is the best known model of this theory for binary responses. Although one can estimate the parameters of the Rasch model with the clogit or xtlogit command (or with the unofficial gllamm command), these commands require special data preparation. The proposed raschtest command easily allows estimating the parameters of the Rasch model and fitting the resulting model.
Tipo: Article Palavras-chave: Raschtest; Rasch model; Generalized estimating equations; Conditional maximum likelihood method; Marginal maximum likelihood method; Andersen Z test; Van den Wollenberg Q1 test; R1c; R1m; Fit tests; Item response theory; U test; Splitting test; Item characteristics curves; Research Methods/ Statistical Methods.
Ano: 2007 URL: http://purl.umn.edu/119253
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