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Reardon, Sean F.; Shear, Benjamin R.; Castellano, Katherine E.; Ho, Andrew D. – Journal of Educational and Behavioral Statistics, 2017
Test score distributions of schools or demographic groups are often summarized by frequencies of students scoring in a small number of ordered proficiency categories. We show that heteroskedastic ordered probit (HETOP) models can be used to estimate means and standard deviations of multiple groups' test score distributions from such data. Because…
Descriptors: Scores, Statistical Analysis, Models, Computation
Culpepper, Steven Andrew; Park, Trevor – Journal of Educational and Behavioral Statistics, 2017
A latent multivariate regression model is developed that employs a generalized asymmetric Laplace (GAL) prior distribution for regression coefficients. The model is designed for high-dimensional applications where an approximate sparsity condition is satisfied, such that many regression coefficients are near zero after accounting for all the model…
Descriptors: Bayesian Statistics, Multivariate Analysis, Item Response Theory, Regression (Statistics)

Holland, Paul W. – Journal of Educational and Behavioral Statistics, 2002
Examined two ways of measuring the gap between two cumulative distribution functions (CDFs), vertical and horizontal distance. Demonstrated how these two approaches can lead to contradictory conclusions about small changes in gaps using real data from the National Assessment of Educational Progress. (SLD)
Descriptors: Change, Measurement Techniques, Scores, Statistical Distributions

Bloxom, Bruce; And Others – Journal of Educational and Behavioral Statistics, 1995
Develops and evaluates the linkage of the Armed Services Vocational Aptitude Battery to the mathematics scale of the National Assessment of Educational Progress. The accuracy of the proficiency distribution estimated from the projection was close to the accuracy of the distribution estimated from the large scale assessment. (SLD)
Descriptors: Educational Assessment, Estimation (Mathematics), Evaluation Methods, Mathematics Tests