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Jihong Zhang; Jonathan Templin; Xinya Liang – Journal of Educational Measurement, 2024
Recently, Bayesian diagnostic classification modeling has been becoming popular in health psychology, education, and sociology. Typically information criteria are used for model selection when researchers want to choose the best model among alternative models. In Bayesian estimation, posterior predictive checking is a flexible Bayesian model…
Descriptors: Bayesian Statistics, Cognitive Measurement, Models, Classification
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Ranger, Jochen; Kuhn, Jorg-Tobias – Journal of Educational Measurement, 2012
The information matrix can equivalently be determined via the expectation of the Hessian matrix or the expectation of the outer product of the score vector. The identity of these two matrices, however, is only valid in case of a correctly specified model. Therefore, differences between the two versions of the observed information matrix indicate…
Descriptors: Goodness of Fit, Item Response Theory, Models, Matrices
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de la Torre, Jimmy – Journal of Educational Measurement, 2008
Most model fit analyses in cognitive diagnosis assume that a Q matrix is correct after it has been constructed, without verifying its appropriateness. Consequently, any model misfit attributable to the Q matrix cannot be addressed and remedied. To address this concern, this paper proposes an empirically based method of validating a Q matrix used…
Descriptors: Matrices, Validity, Models, Evaluation Methods
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Cronbach, Lee J. – Journal of Educational Measurement, 1976
The Petersen-Novick paper dealing with culture fair selection (TM 502 259) is the basis for this article. The author proposes a perspective in which ideas can be lined up for comparison and suggests solutions to the problems of selection in employment. (DEP)
Descriptors: Bias, Employment Opportunities, Matrices, Models
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Marsh, Herbert W.; Hocevar, Dennis – Journal of Educational Measurement, 1983
This paper describes a variety of confirmatory factor analysis models that provide improved tests of multitrait-multimethod matrices, and compares three different approaches (the original Campbell-Fiske guidelines, an analysis of variance model, and confirmatory factor analysis models). (PN)
Descriptors: Analysis of Variance, Comparative Analysis, Evaluation Methods, Factor Analysis
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Sirotnik, Kenneth; Wellington, Roger – Journal of Educational Measurement, 1977
A single conceptual and theoretical framework for sampling any configuration of data from one or more population matrices is presented, integrating past designs and discussing implications for more general designs. The theory is based upon a generalization of the generalized symmetric mean approach for single matrix samples. (Author/CTM)
Descriptors: Analysis of Variance, Data Analysis, Item Sampling, Mathematical Models
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Mislevy, Robert J.; And Others – Journal of Educational Measurement, 1992
Concepts behind plausible values in estimating population characteristics from sparse matrix samples of item responses are discussed. The use of marginal analyses is described in the context of the National Assessment of Educational Progress, and the approach is illustrated with Scholastic Aptitude Test data for 9,075 high school seniors. (SLD)
Descriptors: College Entrance Examinations, Educational Assessment, Equations (Mathematics), Estimation (Mathematics)