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Arminger, Gerhard; Muthen, Bengt O. – Psychometrika, 1998
Nonlinear latent variable models are specified that include quadratic forms and interactions of latent regressor variable as special cases. To estimate the parameters, the models are put in a Bayesian framework with conjugate priors for the parameters. The proposed estimation methods are illustrated by two simulation studies. (SLD)
Descriptors: Algorithms, Bayesian Statistics, Estimation (Mathematics), Mathematical Models

Rigdon, Steven E.; Tsutakawa, Robert K. – Psychometrika, 1983
Latent trait test models for responses to dichotomously scored items are considered from the point of view of parameter estimation using a Bayesian statistical approach and the EM estimation algorithm. An example using the Rasch model is presented. (Author/JKS)
Descriptors: Algorithms, Bayesian Statistics, Estimation (Mathematics), Latent Trait Theory

Tsutakawa, Robert K.; Lin, Hsin Ying – Psychometrika, 1986
Item response curves for a set of binary responses are studied from a Bayesian viewpoint of estimating the item parameters. For the two-parameter logistic model with normally distributed ability, restricted bivariate beta priors are used to illustrate the computation of the posterior mode via the EM algorithm. (Author/LMO)
Descriptors: Algorithms, Bayesian Statistics, Estimation (Mathematics), Latent Trait Theory
Tsutakawa, Robert K.; Lin, Hsin Ying – 1984
Item response curves for a set of binary responses are studied from a Bayesian viewpoint of estimating the item parameters. For the two-parameter logistic model with normally distributed ability, restricted bivariate beta priors are used to illustrate the computation of the posterior mode via the EM algorithm. The procedure is illustrated by data…
Descriptors: Algorithms, Bayesian Statistics, College Entrance Examinations, Estimation (Mathematics)

Mislevy, 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

Macready, 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
Mislevy, Robert J. – 1985
Simultaneous estimation of many parameters can often be improved, sometimes dramatically so, if it is reasonable to consider one or more subsets of parameters as exchangeable members of corresponding populations. While each observation may provide limited information about the parameters it is modeled directly in terms of, it also contributes…
Descriptors: Algorithms, Bayesian Statistics, Estimation (Mathematics), Latent Trait Theory

White, Lee J.; And Others – 1975
The major advantage of sequential classification, a technique for automatically classifying documents into previously selected categories, is that the entire document need not be processed before it is classified. This method assumes the availability of a priori categories, a selection of keywords representative of these categories, and the a…
Descriptors: Algorithms, Automatic Indexing, Bayesian Statistics, Classification

Kraft, Donald H.; Waller, W. G. – Information Processing and Management, 1981
Presents a dynamic model of user behavior when scanning an information storage and retrieval system output list, compares rules for determining the user's optimum stopping point, presents an algorithm for implementing the Bayesian model, and discusses implications for retrieval system design. Provided are 13 figures and 15 references. (Author/RBF)
Descriptors: Algorithms, Bayesian Statistics, Behavior Patterns, Graphs
Kar, B. Gautam; White, Lee J. – 1975
The feasibility of using a distance measure, called the Bayesian distance, for automatic sequential document classification was studied. Results indicate that, by observing the variation of this distance measure as keywords are extracted sequentially from a document, the occurrence of noisy keywords may be detected. This property of the distance…
Descriptors: Algorithms, Automatic Indexing, Bayesian Statistics, Classification

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)
Molenaar, Ivo W. – 1978
The technical problems involved in obtaining Bayesian model estimates for the regression parameters in m similar groups are studied. The available computer programs, BPREP (BASIC), and BAYREG, both written in FORTRAN, require an amount of computer processing that does not encourage regular use. These programs are analyzed so that the performance…
Descriptors: Ability Identification, Algorithms, Bayesian Statistics, Computer Programs
Shermis, Mark D.; And Others – 1992
The reliability of four branching algorithms commonly used in computer adaptive testing (CAT) was examined. These algorithms were: (1) maximum likelihood (MLE); (2) Bayesian; (3) modal Bayesian; and (4) crossover. Sixty-eight undergraduate college students were randomly assigned to one of the four conditions using the HyperCard-based CAT program,…
Descriptors: Adaptive Testing, Algorithms, Bayesian Statistics, Comparative Analysis