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Swaminathan, Hariharan; Gifford, Janice A. – Journal of Educational Statistics, 1982
Bayesian estimation procedures based on a hierarchical model for estimating parameters in the Rasch model are described. It is shown that the Bayesian procedures result in estimates with superior statistical characteristics. (Author/JKS)
Descriptors: Bayesian Statistics, Comparative Analysis, Estimation (Mathematics), Item Analysis
Peer reviewed Peer reviewed
Guttman, Irwin; Olkin, Ingram – Journal of Educational Statistics, 1989
A model for student retention and attrition is presented. Focus is on alternative models for the "dampening" in attrition rates as educational programs progress. Maximum likelihood estimates for the underlying parameters in each model and a Bayesian analysis are provided. (TJH)
Descriptors: Bayesian Statistics, Grade Repetition, Mathematical Formulas, Mathematical Models
Peer reviewed Peer reviewed
Raudenbush, Stephen W.; Bryk, Anthony S. – Journal of Educational Statistics, 1985
To facilitate meta-analysis of diverse study findings, a mixed linear model with fixed random effects is presented and illustrated with data from teacher expectancy experiments. The standardized effect size is viewed as random and the variation among effect sizes is modeled as a function of study characteristics. (Author/BS).
Descriptors: Bayesian Statistics, Educational Research, Effect Size, Hypothesis Testing
Peer reviewed Peer reviewed
Albert, James H. – Journal of Educational Statistics, 1992
Estimating item parameters from a two-parameter normal ogive model is considered using Gibbs sampling to simulate draws from the joint posterior distribution of ability and item parameters. The method gives marginal posterior density estimates for any parameter of interest, as illustrated using data from a 33-item mathematics placement…
Descriptors: Algorithms, Bayesian Statistics, Equations (Mathematics), Estimation (Mathematics)
Peer reviewed Peer reviewed
Jansen, Margo G. H. – Journal of Educational Statistics, 1986
In this paper a Bayesian procedure is developed for the simultaneous estimation of the reading ability and difficulty parameters which are assumed to be factors in reading errors by the multiplicative Poisson Model. According to several criteria, the Bayesian estimates are better than comparable maximum likelihood estimates. (Author/JAZ)
Descriptors: Achievement Tests, Bayesian Statistics, Comparative Analysis, Difficulty Level