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Direct linkJordan, Pascal; Spiess, Martin – Psychometrika, 2012
Maximum likelihood and Bayesian ability estimation in multidimensional item response models can lead to paradoxical results as proven by Hooker, Finkelman, and Schwartzman ("Psychometrika" 74(3): 419-442, 2009): Changing a correct response on one item into an incorrect response may produce a higher ability estimate in one dimension.…
Descriptors: Item Response Theory, Statistical Analysis, Factor Analysis, Generalization
San Martin, Ernesto; Jara, Alejandro; Rolin, Jean-Marie; Mouchart, Michel – Psychometrika, 2011
We study the identification and consistency of Bayesian semiparametric IRT-type models, where the uncertainty on the abilities' distribution is modeled using a prior distribution on the space of probability measures. We show that for the semiparametric Rasch Poisson counts model, simple restrictions ensure the identification of a general…
Descriptors: Identification, Probability, Item Response Theory, Bayesian Statistics
