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Houston, Walter M.; Woodruff, David J. – 1997
Maximum likelihood and least-squares estimates of parameters from the logistic regression model are derived from an iteratively reweighted linear regression algorithm. Empirical Bayes estimates are derived using an m-group regression model to regress the within-group estimates toward common values. The m-group regression model assumes that the…
Descriptors: Bayesian Statistics, Estimation (Mathematics), Least Squares Statistics, Maximum Likelihood Statistics
Nokelainen, Petri; Ruohotie, Pekka; Tirri, Henry – 1999
Bayesian and classical approaches to classification of vocational data were compared using an educational data set from a longitudinal study of professional growth and development in organizations (P. Ruohotie et al., 1994). Data were from 2,430 workers in companies in Finland who completed a questionnaire with behavior and background statements.…
Descriptors: Bayesian Statistics, Classification, Computer Software, Employment
Smith, Robert L.; Rizavi, Saba; Paez, Roxanna; Rotou, Ourania – 2002
A study was conducted to investigate whether augmenting the calibration of items using computerized adaptive test (CAT) data matrices produced estimates that were unbiased and improved the stability of existing item parameter estimates. Item parameter estimates from four pools of items constructed for operational use were used in the study to…
Descriptors: Adaptive Testing, Bayesian Statistics, Computer Assisted Testing, Estimation (Mathematics)
Fox, Jean-Paul – 2000
An item response theory (IRT) model is used as a measurement error model for the dependent variable of a multilevel model where tests or questionnaires consisting of separate items are used to perform a measurement error analysis. The advantage of using latent scores as dependent variables of a multilevel model is that it offers the possibility of…
Descriptors: Bayesian Statistics, Error of Measurement, Estimation (Mathematics), Item Response Theory
Peer reviewed Peer reviewed
Jackson, Paul H. – Psychometrika, 1973
This paper deals with the situation where scores on a number of parallel tests are obtained for each of a set of persons, and these persons are assumed to constitute, in so far as their scores for the tests are concerned, a random sample from some population of interest. (Author)
Descriptors: Analysis of Variance, Bayesian Statistics, Measurement, Models
Rogers, Hartley, Jr. – International Journal of Mathematics Education, 1972
Basic mathematical concepts of Managerial Economics, a way of quantitatively analyzing and structuring the making of a business decision, are presented. Advantages and disadvantages of its use in business are discussed and several recent applications are given. (DT)
Descriptors: Bayesian Statistics, Business Education, Decision Making, Economics
Peer reviewed Peer reviewed
Rubin, Donald B. – Journal of Educational Statistics, 1981
The use of Bayesian and empirical Bayesian techniques to summarize results from parallel randomized experiments is illustrated using the results of eight such experiments from an SAT coaching study. Graphical techniques, simulation techniques, and methods for monitoring the adequacy of model specification are highlighted. (Author/JKS)
Descriptors: Bayesian Statistics, Data Analysis, Educational Experiments, Goodness of Fit
Peer reviewed Peer reviewed
Alley, Gordon R.; And Others – Learning Disability Quarterly, 1979
A method of identifying learning disabled adolescents using the method of Bayesian Revision of Subjective Probabilities, which utilizes both teacher judgments and psychometric tests, is proposed. (DB)
Descriptors: Bayesian Statistics, Check Lists, Identification, Learning Disabilities
Peer reviewed Peer reviewed
Woodworth, George G. – Journal of Educational Statistics, 1979
Computation and interpretation of Bayesian full-rank multivariate analysis of variance and covariance is described and illustrated in an exposition intended for readers familiar with univariate analysis of variance and multiple regression. (Author)
Descriptors: Analysis of Covariance, Analysis of Variance, Bayesian Statistics, Research Design
Peer reviewed Peer reviewed
McLeod, Lori; Lewis, Charles; Thissen, David – Applied Psychological Measurement, 2003
Explored procedures to detect test takers using item preknowledge in computerized adaptive testing and suggested a Bayesian posterior log odds ratio index for this purpose. Simulation results support the use of the odds ratio index. (SLD)
Descriptors: Adaptive Testing, Bayesian Statistics, Computer Assisted Testing, Knowledge Level
Peer reviewed Peer reviewed
Ansari, Asim; Jedidi, Kamel; Dube, Laurette – Psychometrika, 2002
Developed Markov Chain Monte Carlo procedures to perform Bayesian inference, model checking, and model comparison in heterogeneous factor analysis. Tested the approach with synthetic data and data from a consumption emotion study involving 54 consumers. Results show that traditional psychometric methods cannot fully capture the heterogeneity in…
Descriptors: Bayesian Statistics, Equations (Mathematics), Factor Analysis, Markov Processes
Peer reviewed Peer reviewed
van Onna, M. J. H. – Psychometrika, 2002
Studied whether ordered latent class models can be used as nonparametric item response theory (NIRT) models to scale polytomous models. Simulation findings show that the Bayesian estimation method presented can handle the inequality restrictions on the parameters and the sparseness of the data quite well. (SLD)
Descriptors: Bayesian Statistics, Equations (Mathematics), Estimation (Mathematics), Item Response Theory
Peer reviewed Peer reviewed
Vos, Hans J. – Journal of Educational Statistics, 1990
An approach is presented to simultaneously optimize decision rules for combinations of elementary decisions through a framework derived from Bayesian decision theory. The developed linear utility model for selection-mastery decisions was applied to a sample of 43 first year medical students to illustrate the procedure. (SLD)
Descriptors: Bayesian Statistics, Decision Making, Equations (Mathematics), Higher Education
Peer reviewed Peer reviewed
Gigerenzer, Gerd; Hoffrage, Ulrich – Psychological Review, 1995
It is shown that Bayesian algorithms are computationally simpler in frequency formats than in the probability formats used in previous research. Analysis of several thousand solutions to Bayesian problems showed that when information was presented in frequency formats, statistically naive participants derived up to 50% of inferences by Bayesian…
Descriptors: Algorithms, Bayesian Statistics, Computation, Estimation (Mathematics)
Peer reviewed Peer reviewed
Cooil, Bruce; Rust, Roland T. – Psychometrika, 1995
A proportional reduction in loss (PRL) measure for reliability of categorical data is explored for the situation in which each of "N" judges assigns a subject to one of "K" categories. Calculating a lower bound for reliability under more general conditions than had been proposed is demonstrated. (SLD)
Descriptors: Bayesian Statistics, Classification, Equations (Mathematics), Estimation (Mathematics)
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