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Direct linkSinharay, Sandip – Journal of Educational and Behavioral Statistics, 2015
The maximum likelihood estimate (MLE) of the ability parameter of an item response theory model with known item parameters was proved to be asymptotically normally distributed under a set of regularity conditions for tests involving dichotomous items and a unidimensional ability parameter (Klauer, 1990; Lord, 1983). This article first considers…
Descriptors: Item Response Theory, Maximum Likelihood Statistics, Test Items, Ability
Download full textSinharay, Sandip; von Davier, Matthias – ETS Research Report Series, 2005
The reporting methods used in large scale assessments such as the National Assessment of Educational Progress (NAEP) rely on a "latent regression model." The first component of the model consists of a "p"-scale IRT measurement model that defines the response probabilities on a set of cognitive items in "p" scales…
Descriptors: National Competency Tests, Regression (Statistics), Predictor Variables, Student Characteristics
