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Magis, David; Raiche, Gilles – Psychometrika, 2012
This paper focuses on two estimators of ability with logistic item response theory models: the Bayesian modal (BM) estimator and the weighted likelihood (WL) estimator. For the BM estimator, Jeffreys' prior distribution is considered, and the corresponding estimator is referred to as the Jeffreys modal (JM) estimator. It is established that under…
Descriptors: Item Response Theory, Computation, Bayesian Statistics, Models
MacDonald, George T. – ProQuest LLC, 2014
A simulation study was conducted to explore the performance of the linear logistic test model (LLTM) when the relationships between items and cognitive components were misspecified. Factors manipulated included percent of misspecification (0%, 1%, 5%, 10%, and 15%), form of misspecification (under-specification, balanced misspecification, and…
Descriptors: Simulation, Item Response Theory, Models, Test Items
Muckle, Timothy Joseph – ProQuest LLC, 2010
Existing methods for the analysis of ordinal-level data arising from judge ratings, such as the Multi-Facet Rasch model (MFRM, or the so-called Facets model) have been widely used in assessment in order to render fair examinee ability estimates in situations where the judges vary in their behavior or severity. However, this model makes certain…
Descriptors: Bayesian Statistics, Judges, Behavior, Differences
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de la Torre, Jimmy; Song, Hao – Applied Psychological Measurement, 2009
Assessments consisting of different domains (e.g., content areas, objectives) are typically multidimensional in nature but are commonly assumed to be unidimensional for estimation purposes. The different domains of these assessments are further treated as multi-unidimensional tests for the purpose of obtaining diagnostic information. However, when…
Descriptors: Ability, Tests, Item Response Theory, Data Analysis
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Tate, Richard L.; King, F. J. – Journal of Educational Measurement, 1994
The precision of the group-based item-response theory (IRT) model applied to school ability estimation is described, assuming use of Bayesian estimation with precision represented by the standard deviation of the posterior distribution. Similarities with and differences between the school-based model and the individual-level IRT are explored. (SLD)
Descriptors: Ability, Bayesian Statistics, Estimation (Mathematics), Item Response Theory
Clark, Cynthia L., Ed. – 1976
The principal objectives of this conference were to exchange information, discuss theoretical and empirical developments, and to coordinate research efforts. The papers and their authors are: "The Graded Response Model of Latent Trait Theory and Tailored Testing" by Fumiko Samejima; (Incomplete Orders and Computerized Testing" by…
Descriptors: Ability, Adaptive Testing, Bayesian Statistics, Branching