01557nas a2200157   4500008004100000020004100041245008400082210006900166250001500235300001100250490000700261520099300268100001601261700002301277856009901300       2010                        eng d  a0007-1102 (Print)0007-1102 (Linking)00aMarginal likelihood inference for a model for item responses and response times0 aMarginal likelihood inference for a model for item responses and  a2010/01/30  a603-260 v633 a<p>Marginal maximum-likelihood procedures for parameter estimation and testing the fit of a hierarchical model for speed and accuracy on test items are presented. The model is a composition of two first-level models for dichotomous responses and response times along with multivariate normal models for their item and person parameters. It is shown how the item parameters can easily be estimated using Fisher&#39;s identity. To test the fit of the model, Lagrange multiplier tests of the assumptions of subpopulation invariance of the item parameters (i.e., no differential item functioning), the shape of the response functions, and three different types of conditional independence were derived. Simulation studies were used to show the feasibility of the estimation and testing procedures and to estimate the power and Type I error rate of the latter. In addition, the procedures were applied to an empirical data set from a computerized adaptive test of language comprehension.</p>
1 aGlas, C A W1 avan der Linden, WJ  uhttp://iacat.org/content/marginal-likelihood-inference-model-item-responses-and-response-times