Journal of Statistical Software · 2006 · 1.2K citations · 3 references
EducationBiostatisticsEducational MeasurementCategorical Data AnalysisItem Response TheoryPsychometricsDichotomous Item ModelsLatent Trait ModelingLatent Variable ModelingLatent Variable ModelsPolytomous Item ModelsStructural Equation ModelingDichotomous Item AnalysisGauss-hermite QuadratureItem Response Theory AnalysisMarginal LikelihoodMarginal Likelihood MaximizationMultidimensional Item Response ModelsMultidimensional Latent Trait ModelsPolytomous Response Models
The R package ltm has been developed for the analysis of multivariate dichotomous and polytomous data using latent variable models, under the Item Response Theory approach. For dichotomous data the Rasch, the Two-Parameter Logistic, and Birnbaum's Three-Parameter models have been implemented, whereas for polytomous data Semejima's Graded Response model is available. Parameter estimates are obtained under marginal maximum likelihood using the Gauss-Hermite quadrature rule. The capabilities and features of the package are illustrated using two real data examples.
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David E. Hapeman · Technometrics · 1991 · 9.1K citations