Browsing by Author "del Pino, G"

Now showing 1 - 3 of 3
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    Bayesian inference in spherical linear models: robustness and conjugate analysis
    (ELSEVIER INC, 2006) Arellano Valle, RB; del Pino, G; Iglesias, P
    The early work of Zellner on the multivariate Student-t linear model has been extended to Bayesian inference for linear models with dependent non-normal error terms, particularly through various papers by Osiewalski, Steel and coworkers. This article provides a full Bayesian analysis for a spherical linear model. The density generator of the spherical distribution is here allowed to depend both on the precision parameter phi and on the regression coefficients beta. Another distinctive aspect of this paper is that proper priors for the precision parameter are discussed.
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    Definition and probabilistic properties of skew-distributions
    (ELSEVIER, 2002) Arellano Valle, RB; del Pino, G; San Martin, E
    The univariate, and multivariate skew-normal distributions have a number of intriguing properties. It is shown here that these hold for a general class of distributions, defined in terms of independence conditions on signs and absolute values. For this class, two stochastic representations become equivalent, one using conditioning on the positivity of a random vector and the other employing a vector of absolute values. General methods for computing moments and for obtaining the density function of a general skew-distribution are given. The case of spherical and elliptical distributions is briefly discussed. (C) 2002 Published by Elsevier Science B.V.
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    IRT models for ability-based guessing
    (SAGE PUBLICATIONS INC, 2006) San Martin, E; del Pino, G; De Boeck, P
    An ability-based guessing model is formulated and applied to several data sets regarding educational tests ill language and in mathematics. The formulation of the model is such that the probability of a correct guess does not only depend on the item but also oil the ability of the individual, weighted with a general discrimination parameter. By so doing, the possibility that the individual uses his or her ability to some extent for differentiating among responses while guessing is also considered. Some important properties of the model are described and compared with analogous properties of related models. After simulation studies, the model is applied to different data sets of the Chilean Sistema de Medicion de la Calidad de la Educacion (SIMCE) tests of mathematics and language. The conclusion of this analysis seems relevant-namely, that the examinees use their ability to guess in the language test but not in the mathematics test.