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Shi, Jian-Qing; Lee, Sik-Yum – Psychometrika, 1997
Explores posterior analysis in estimating factor score in a confirmatory factor analysis model with polytomous, censored or truncated data, and studies the accuracy of Bayesian estimates through simulation. Results support these Bayesian estimates for statistical inference. (SLD)
Descriptors: Bayesian Statistics, Estimation (Mathematics), Factor Structure, Scores
Muthen, Bengt – 1994
This paper investigates methods that avoid using multiple groups to represent the missing data patterns in covariance structure modeling, attempting instead to do a single-group analysis where the only action the analyst has to take is to indicate that data is missing. A new covariance structure approach developed by B. Muthen and G. Arminger is…
Descriptors: Bayesian Statistics, Estimation (Mathematics), Maximum Likelihood Statistics, Monte Carlo Methods
Kuo, Lynn; Cohen, Michael P. – 1993
Bayesian methods for estimating dose response curves in quantal bioassay are studied. A linearized multi-stage model is assumed for the shape of the curves. A Gibbs sampling approach with data augmentation is employed to compute the Bayes estimates. In addition, estimation of the "relative additional risk" and the "risk specific…
Descriptors: Bayesian Statistics, Equations (Mathematics), Estimation (Mathematics), Mathematical Models
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Harwell, Michael R. – Educational and Psychological Measurement, 1997
Results from two Monte Carlo studies in item response theory (comparisons of computer item analysis programs and Bayes estimation procedures) are analyzed with inferential methods to illustrate the procedures' strengths. It is recommended that researchers in item response theory use both descriptive and inferential methods to analyze Monte Carlo…
Descriptors: Bayesian Statistics, Comparative Analysis, Computer Software, Estimation (Mathematics)
Peer reviewed Peer reviewed
Hoijtink, Herbert; Boomsma, Anne – Psychometrika, 1996
The quality of approximations to first- and second-order moments based on latent ability estimates is discussed. The ability estimates are based on the Rasch or the two-parameter logistic model, and true score theory is used to account for the fact that the basic quantities are estimates. (SLD)
Descriptors: Ability, Bayesian Statistics, Estimation (Mathematics), Item Response Theory
Huynh, Huynh; Saunders, Joseph C. – 1980
A basic technical framework is provided for the design and use of mastery tests. The Mastery Testing Project (MTP) prepared this framework using advanced mathematics supplemented with computer simulation based on real test data collected by the South Carolina Statewide Testing Program. The MTP focused on basic technical issues encountered in using…
Descriptors: Ability Identification, Annotated Bibliographies, Bayesian Statistics, Computer Assisted Testing