Limited-information goodness-of-fit testing of hierarchical item factor models
نویسندگان
چکیده
منابع مشابه
Limited-information goodness-of-fit testing of item response theory models for sparse 2 tables.
Bartholomew and Leung proposed a limited-information goodness-of-fit test statistic (Y) for models fitted to sparse 2(P ) contingency tables. The null distribution of Y was approximated using a chi-squared distribution by matching moments. The moments were derived under the assumption that the model parameters were known in advance and it was conjectured that the approximation would also be app...
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The article provides an overview of goodness-of-fit assessment methods for item response theory (IRT) models. It is now possible to obtain accurate p-values of the overall fit of the model if bivariate information statistics are used. Several alternative approaches are described. As the validity of inferences drawn on the fitted model depends on the magnitude of the misfit, if the model is reje...
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Random graphs are matrices with independent 0–1 elements with probabilities determined by a small number of parameters. One of the oldest models is the Rasch model where the odds are ratios of positive numbers scaling the rows and columns. Later Persi Diaconis with his coworkers rediscovered the model for symmetric matrices and called the model beta. Here we give goodness-of-fit tests for the m...
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Paul Marriott 1,*, Radka Sabolová 2, Germain Van Bever 3 and Frank Critchley 2 1 Department of Statistics and Actuarial Science, University of Waterloo, 200 University Avenue West, Waterloo, ON N2L 3G1, Canada 2 School of Mathematics and Statistics, The Open University, Walton Hall, Milton Keynes, Buckinghamshire MK7 6AA, UK; [email protected] (R.S.); [email protected] (F.C.) 3 Dep...
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The modeling of relationships between motor vehicle crashes and underlying factors has been investigated for more than three decades. Recently, many highway safety studies have documented the use of negative binomial (NB) regression models. On rare occasions, the Poisson model may be the only alternative especially when crash sample mean is low. Pearson's X(2) and the scaled deviance (G(2)) are...
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ژورنال
عنوان ژورنال: British Journal of Mathematical and Statistical Psychology
سال: 2012
ISSN: 0007-1102
DOI: 10.1111/j.2044-8317.2012.02050.x