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A recursive equation for computing higher-order derivatives of the elementary symmetric functions in the Rasch model is proposed. The formula is conceptually simple and relatively more efficient than the sum algorithm (Gustafsson, 1980). A simulation study indicated that the proposed formula has...
This paper is concerned with the study of correlates and predictors of change in a multiwave design. A general structural modeling approach is discussed, which allows estimation of theoretically and empirically relevant interrelationship indexes between growth or decline in longitudinally...
The Level 11 Vocabulary Subtest of the Iowa Tests of Basic Skills was analyzed using a two-stage latent trait approach and an empirical dataset of 2,356 examinees. First, each of the 43 multiple-choice test items was scored dichotomously; then, assuming the (two-parameter) normal ogive model the...
Covariance structure models frequently contain out-of-range estimates that make no sense from either substantive or statistical points of view. Negative variance estimates are the most well-known of these improper solutions, but correlations that are out of range also occur. Methods to minimize...
A nonparametric Mokken analysis of test data generally results in the rejection of different items as misfitting than an analysis with a parametric item response theory model. This is due to differences between the methods of analysis employed. Croon (1991) demonstrated that the assumption of...
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