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Peer reviewedMislevy, Robert J. – Psychometrika, 1986
This article describes a Bayesian framework for estimation in item response models, with two-stage distributions on both item and examinee populations. Strategies for point and interval estimation are discussed, and a general procedure based on the EM algorithm is presented. (Author/LMO)
Descriptors: Algorithms, Bayesian Statistics, Estimation (Mathematics), Latent Trait Theory
Peer reviewedVijn, Peter – Psychometrika, 1983
The use of Bayesian theory to connect ordinal data and ordered scale points with the theory of order statistics is presented. Exact and approximate multivariate and marginal densities for the scale points are derived. (Author/JKS)
Descriptors: Bayesian Statistics, Data Analysis, Latent Trait Theory, Measurement
Thum, Yeow Meng – 2002
This paper focuses on interpreting the major conceptual features of California's Academic Performance Index (API) as a coherent set of statistical procedures. To facilitate a characterization of its statistical properties, the paper casts the index as a simple weighted average of the subjective worth of students' normative performance and presents…
Descriptors: Academic Achievement, Achievement Gains, Bayesian Statistics, Elementary Secondary Education
PDF pending restorationGreen, Bert F. – 2002
Maximum likelihood and Bayesian estimates of proficiency, typically used in adaptive testing, use item weights that depend on test taker proficiency to estimate test taker proficiency. In this study, several methods were explored through computer simulation using fixed item weights, which depend mainly on the items difficulty. The simpler scores…
Descriptors: Adaptive Testing, Bayesian Statistics, Computer Assisted Testing, Computer Simulation
Moderator Subgroups for the Estimation of Educational Performance: A Comparison of Prediction Models
Peer reviewedLissitz, Robert W.; Schoenfeldt, Lyle F. – American Educational Research Journal, 1974
The purpose of this study was to compare five predictor models, including two least-square procedures, two probability weighting (semi-Bayesian) methods, and a Bayesian model developed by Lindley. (See also TM 501 088, TM 501 089, and TM 501 090) (Author/NE)
Descriptors: Bayesian Statistics, College Freshmen, Models, Multiple Regression Analysis
Peer reviewedLovie, A. D. – International Journal of Mathematical Education in Science and Technology, 1973
Descriptors: Bayesian Statistics, College Mathematics, Curriculum, Instruction
Martin, David W.; Gettys, Charles F. – J Appl Psychol, 1969
Descriptors: Bayesian Statistics, Behavioral Science Research, College Students, Decision Making
Peer reviewedAllen, R. Douglas; And Others – Personnel Psychology, 1982
Studied the relationship between stress and the perceived effectiveness of formal organization groups. Analysis of data from four firms showed a negative relationship. Results suggest that the type of stress moderates the stress and effectiveness relationship. Dysfunctional stress was the dominant type of stress in all four firms. (Author)
Descriptors: Bayesian Statistics, Employees, Job Performance, Job Satisfaction
Peer reviewedCleary, Richard J.; Casella, George – Journal of Educational and Behavioral Statistics, 1997
A model is proposed to account for publication bias explicitly using a weight function that describes probability of publication for a particular study in terms of a selection parameter. A Bayesian analysis of this model using Gibbs sampling is conducted, and the model is applied to a published meta-analysis. (SLD)
Descriptors: Bayesian Statistics, Estimation (Mathematics), Meta Analysis, Probability
Peer reviewedMacready, George B.; Dayton, C. Mitchell – Psychometrika, 1992
An adaptive testing algorithm is presented based on an alternative modeling framework, and its effectiveness is investigated in a simulation based on real data. The algorithm uses a latent class modeling framework in which assessed latent attributes are assumed to be categorical variables. (SLD)
Descriptors: Adaptive Testing, Algorithms, Bayesian Statistics, Classification
Peer reviewedHarwell, Michael R.; Janosky, Janine E. – Applied Psychological Measurement, 1991
Investigates the BILOG computer program's ability to recover known item parameters for different numbers of items, examinees, and variances of the prior distributions of discrimination parameters for the two-parameter logistic item-response theory model. For samples of at least 250 examinees and 15 items, simulation results support using BILOG.…
Descriptors: Bayesian Statistics, Computer Simulation, Estimation (Mathematics), Item Response Theory
Peer reviewedViana, Marlos A. G. – Journal of Educational Statistics, 1991
A Bayesian solution is suggested to the problem of jointly estimating "k is greater than 1" binomial parameters in conjunction with the problem of testing, in a Bayesian sense, the hypothesis "H" of parametric homogeneity. Applications of the estimates are illustrated with several types of data, including ophthalmological…
Descriptors: Bayesian Statistics, Elementary Secondary Education, Equations (Mathematics), Higher Education
Peer reviewedWoodbury, Max A.; Manton, Kenneth G. – Multivariate Behavioral Research, 1991
An empirical Bayes-maximum likelihood estimation procedure is presented for the application of fuzzy partition models in describing high dimensional discrete response data. The model describes individuals in terms of partial membership in multiple latent categories that represent bounded discrete spaces. (SLD)
Descriptors: Bayesian Statistics, Equations (Mathematics), Estimation (Mathematics), Mathematical Models
Peer reviewedDu, Yi; And Others – Applied Measurement in Education, 1993
A new computerized mastery test is described that builds on the Lewis and Sheehan procedure (sequential testlets) (1990), but uses fuzzy set decision theory to determine stopping rules and the Rasch model to calibrate items and estimate abilities. Differences between fuzzy set and Bayesian methods are illustrated through an example. (SLD)
Descriptors: Bayesian Statistics, Comparative Analysis, Computer Assisted Testing, Estimation (Mathematics)
Peer reviewedMislevy, Robert J.; Wilson, Mark – Psychometrika, 1996
Marginal maximum likelihood estimation equations are derived for the structural parameters of the Saltus model, and a computing approximation is suggested based on the EM algorithm. The solution is illustrated with simulated data and an example from the domain of mixed number subtraction. (SLD)
Descriptors: Bayesian Statistics, Cognitive Tests, Equations (Mathematics), Individual Development


