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Wilcox, Rand R. – Applied Psychological Measurement, 1979
Using a new coefficient, a rescaling of the Bayes risk is examined and a modification of this coefficient is described which yields an index that always has a value between zero and one. (Author/MH)
Descriptors: Bayesian Statistics, Measurement Techniques, Scoring, Technical Reports
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Rubin, Donald B. – Journal of Educational Statistics, 1978
A simple example is presented that illustrates advantages of Bayesian and likelihood methods of inference relative to sampling distribution methods of inference. It is argued that Bayesian and likelihood methods of inference should be utilized more generally to analyze real data. (Author/CTM)
Descriptors: Bayesian Statistics, Hypothesis Testing, Sampling, Statistical Data
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Lee, Sik-Yum; Song, Xin-Yuan – Psychometrika, 2003
Proposed a new nonlinear structural equation model with fixed covariates to deal with some complicated substantive theory and developed a Bayesian path sampling procedure for model comparison. Illustrated the approach with an illustrative example using data from an international study. (SLD)
Descriptors: Bayesian Statistics, Comparative Analysis, Sampling, Structural Equation Models
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Glas, Cees A. W.; Meijer, Rob R. – Applied Psychological Measurement, 2003
Presents a Bayesian approach to the evaluation of person fit in item response theory (IRT) models. Works the procedure in detail for the three parameter normal ogive model, but shows that the procedure can be generalized to many other IRT models. (SLD)
Descriptors: Bayesian Statistics, Goodness of Fit, Item Response Theory, Models
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Thum, Yeow Meng; Bhattacharya, Suman K. – Journal of Educational and Behavioral Statistics, 2001
Developed and illustrated an analysis for detecting changes in multiple time series for a multilevel setting. Shows how the approach can be used to evaluate intervention effects associated with a treatment to which the lengths of delay in the response may be unique to each treated unit. The approach does not assume a known change point. (SLD)
Descriptors: Academic Achievement, Bayesian Statistics, Change, Evaluation Methods
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Hayashi, Kentaro; Sen, Pranab K. – Educational and Psychological Measurement, 2002
Implemented a Bayesian factor analysis model to formulate estimators of the hyper-parameters. Simulation results lead to the proposal of new bias-corrected estimates of factor loadings. (SLD)
Descriptors: Bayesian Statistics, Estimation (Mathematics), Factor Structure, Simulation
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Fornell, Claes; Rust, Roland T. – Psychometrika, 1989
A Bayesian approach to the testing of competing covariance structures is developed. Approximate posterior probabilities are easily obtained from the chi square values and other known constants. The approach is illustrated using an example that demonstrates how the prior probabilities can alter results concerning the preferred model specification.…
Descriptors: Bayesian Statistics, Chi Square, Comparative Analysis, Mathematical Models
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Murphy, Gregory L.; Ross, Brian H. – Cognitive Psychology, 1994
Eleven experiments involving over 200 undergraduate students investigated how categorization of examples influences feature prediction for new examples. Results suggest that category-based prediction generally relies on a single category rather than multiple categories when there is a clear target category. (SLD)
Descriptors: Bayesian Statistics, Classification, Higher Education, Inferences
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Gross, Alan L.; Torres-Quevedo, Rocio – Psychometrika, 1995
The posterior distribution of the bivariate correlation is analytically derived given a data set where "X" is completely observed, but "Y" is missing at random for a portion of the sample. Interval estimates of the correlation are constructed from the posterior distribution in terms of the highest density regions. (SLD)
Descriptors: Bayesian Statistics, Correlation, Equations (Mathematics), Estimation (Mathematics)
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Camilli, Gregory – Psychometrika, 1995
This paper demonstrates that two major tests for two-by-two tables, Fisher's exact and Pearson's chi-square tests, are highly related from a Bayesian perspective. A formal similarity is demonstrated in small samples, and reasons for the relationship are discussed. (SLD)
Descriptors: Bayesian Statistics, Chi Square, Equations (Mathematics), Probability
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Klauer, Karl Christoph – Psychological Review, 1999
Argues that selecting data according to expected information gain, as proposed by M. Oaksford and N. Chater (1994, 1996), leads to suboptimal performance in Bayesian hypothesis testing. Procedures are presented that are better justified normatively, their psychological implications are explored, and a number of novel predictions are derived under…
Descriptors: Bayesian Statistics, Data Collection, Hypothesis Testing, Performance Based Assessment
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Chater, Nick; Oaksford, Mike – Psychological Review, 1999
Argues that Klauer's proposal (1999) and proposal presented are equally well justified from a normative perspective and that, where the predictions of the two approaches diverge, the existing empirical evidence is consistent with the information gain approach. Recommends that more empirical research is required to decide between these two…
Descriptors: Bayesian Statistics, Data Collection, Hypothesis Testing, Performance Based Assessment
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Vos, Hans J. – Multivariate Behavioral Research, 1997
A model for simultaneous optimization of combinations of test-based decisions in psychology and education is proposed using Bayesian decision theory. Weak and strong rules are distinguished for a decision model that consists of a combination of placement and mastery decisions. (SLD)
Descriptors: Bayesian Statistics, Educational Research, Placement, Psychological Studies
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Zeng, Lingjia – Applied Psychological Measurement, 1997
Proposes a marginal Bayesian estimation procedure to improve item parameter estimates for the three parameter logistic model. Computer simulation suggests that implementing the marginal Bayesian estimation algorithm with four-parameter beta prior distributions and then updating the priors with empirical means of updated intermediate estimates can…
Descriptors: Algorithms, Bayesian Statistics, Estimation (Mathematics), Statistical Distributions
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Gupta, Jayanti; Damien, Paul – Psychometrika, 2005
Fully and partially ranked data arise in a variety of contexts. From a Bayesian perspective, attention has focused on distance-based models; in particular, the Mallows model and extensions thereof. In this paper, a class of prior distributions, the "Binary Tree," is developed on the symmetric group. The attractive features of the class are: it…
Descriptors: Bayesian Statistics, Models, Comparative Analysis, Statistical Data
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