Browsing by Author "De Boeck, Paul"
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- ItemA Double-Structure Structural Equation Model for Three-Mode Data(AMER PSYCHOLOGICAL ASSOC, 2008) Gonzalez, Jorge; De Boeck, Paul; Tuerlinckx, FrancisStructural equation models are commonly used to analyze 2-mode data sets, in which a set of objects is measured on a set of variables. The underlying structure within the object mode is evaluated using latent variables, which are measured by indicators coming from the variable mode. Additionally, when the objects are measured under different conditions, 3-mode data arise, and with this, the simultaneous study of the correlational structure of 2 modes may be of interest. In this article the authors present a model with a simultaneous latent structure for 2 of the 3 modes of such a data set. They present an empirical illustration of the method using a 3-mode data set (person by situation by response) exploring the structure of anger and irritation across different interpersonal situations as well as across persons.
- ItemA local-influence-based diagnostic approach to a speeded item response theory model(WILEY, 2006) Goegebeur, Yuri; De Boeck, Paul; Molenberghs, Geert; del Pino, GuidoAn item response theory model for dealing with omitted responses in a test is proposed. In this model formulation, non-response does not only depend on an examinee's ability and on item difficulty, but additionally also on 'test speededness'. Using a local-influence-based diagnostic approach, the sensitivity of the model regarding assumptions concerning the drop-out mechanism is explored. The methodology proposed is applied to the Chilean Sistema de Medicion de la Calidad de la Educacion mathematics test case-study.
- ItemOn the relationships between sum score based estimation and joint maximum likelihood estimation(2008) Del Pino, Guido; Martin, Ernesto San; Gonzalez, Jorge; De Boeck, PaulThis paper analyzes the sum score based (SSB) formulation of the Rasch model, where items and sum scores of persons are considered as factors in a logit model. After reviewing the evolution leading to the equality between their maximum likelihood estimates, the SSB model is then discussed from the point of view of pseudo-likelihood and of misspecified models. This is then employed to provide new insights into the origin of the known inconsistency of the difficulty parameter estimates in the Rasch model. The main results consist of exact relationships between the estimated standard errors for both models; and, for the ability parameters, an upper bound for the estimated standard errors of the Rasch model in terms of those for the SSB model, which are more easily available.