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Kalinowski, Steven T. – Educational and Psychological Measurement, 2019
Item response theory (IRT) is a statistical paradigm for developing educational tests and assessing students. IRT, however, currently lacks an established graphical method for examining model fit for the three-parameter logistic model, the most flexible and popular IRT model in educational testing. A method is presented here to do this. The graph,…
Descriptors: Item Response Theory, Educational Assessment, Goodness of Fit, Probability
List, Marit Kristine; Köller, Olaf; Nagy, Gabriel – Educational and Psychological Measurement, 2019
Tests administered in studies of student achievement often have a certain amount of not-reached items (NRIs). The propensity for NRIs may depend on the proficiency measured by the test and on additional covariates. This article proposes a semiparametric model to study such relationships. Our model extends Glas and Pimentel's item response theory…
Descriptors: Educational Assessment, Item Response Theory, Multivariate Analysis, Test Items
Ho, Andrew D.; Yu, Carol C. – Educational and Psychological Measurement, 2015
Many statistical analyses benefit from the assumption that unconditional or conditional distributions are continuous and normal. More than 50 years ago in this journal, Lord and Cook chronicled departures from normality in educational tests, and Micerri similarly showed that the normality assumption is met rarely in educational and psychological…
Descriptors: Statistics, Scores, Statistical Distributions, Tests