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Download full textRaudenbush, Stephen W.; Bryk, Anthony S. – 1984
The purpose of this paper is to demonstrate in detail how the Empirical Bayes (EB) statistical estimation strategy can be applied to an important class of educational research contexts. EB methods are tailored specifically to the analysis of data with a hierarchical structure. For instance, investigators may be interested in discovering how…
Descriptors: Bayesian Statistics, Estimation (Mathematics), Mathematical Models, Research Methodology
Leonard, Tom; Novick, Melvin R. – 1985
This proposal attempts to follow in Allan Birnbaum's tradition by using Bayesian ideas to show that his mental test model possesses even broader applicability than previously realized. Birnbaum's two significant contributions to the theories of statistics and educational testing are: (1) the proof that the sufficiency and conditionality principles…
Descriptors: Bayesian Statistics, Cognitive Measurement, Estimation (Mathematics), Latent Trait Theory
Leonard, Tom; Novick, Melvin R. – 1985
A general approach is proposed for modeling the structure of a two-way contingency table, and for drawing inferences about the marginal and interaction effects, cell parameters, and conditional probabilities. The prior distribution expresses uncertainty in a simple reduced model, in particular the independence model. The posterior estimates of the…
Descriptors: Bayesian Statistics, Clerical Occupations, Enlisted Personnel, Estimation (Mathematics)
Phillips, Gary W.; Grodsky, Milton – 1985
The decision making processes of children in a probabilistic environment were studied within the context of the theory of signal detection (TSD). The relationship between the age of the child and his ability to revise decision criteria was examined, as well as the appropriateness of TSD measures and methodology with children. It was hypothesized…
Descriptors: Age Differences, Bayesian Statistics, Cognitive Development, Cognitive Measurement
Buhr, Dianne C.; Algina, James – 1986
The focus of this study is on the estimation procedures implemented in BILOG, a computer program. One purpose is to compare the item parameter estimates produced by various procedures available in BILOG. Four different models are used: the one, two, and three parameter model and a three parameter model with common guessing parameters. The results…
Descriptors: Ability, Bayesian Statistics, Comparative Analysis, Computer Oriented Programs
Lee, Valerie E. – 1986
Hierarchical linear modeling allowed the indentification of specific school characteristics and policies which help explain the relationship between social class and minority status with mathematics achievement, the relationship between social class and minority status with mathematics course enrollment, and school means for achievement and for…
Descriptors: Academic Achievement, Attribution Theory, Bayesian Statistics, Catholic Schools
