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Jamil, Tahira; Marsman, Maarten; Ly, Alexander; Morey, Richard D.; Wagenmakers, Eric-Jan – Educational and Psychological Measurement, 2017
In 1881, Donald MacAlister posed a problem in the "Educational Times" that remains relevant today. The problem centers on the statistical evidence for the effectiveness of a treatment based on a comparison between two proportions. A brief historical sketch is followed by a discussion of two default Bayesian solutions, one based on a…
Descriptors: Bayesian Statistics, Evidence, Comparative Analysis, Problem Solving
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Klugkist, Irene; Laudy, Olav; Hoijtink, Herbert – Psychological Methods, 2010
In this article, a Bayesian model selection approach is introduced that can select the best of a set of inequality and equality constrained hypotheses for contingency tables. The hypotheses are presented in terms of cell probabilities allowing researchers to test (in)equality constrained hypotheses in a format that is directly related to the data.…
Descriptors: Bayesian Statistics, Models, Selection, Probability
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Satake, Eiki; Amato, Philip P. – AMATYC Review, 2008
This paper presents an alternative version of formulas of conditional probabilities and Bayes' rule that demonstrate how the truth table of elementary mathematical logic applies to the derivations of the conditional probabilities of various complex, compound statements. This new approach is used to calculate the prior and posterior probabilities…
Descriptors: Mathematical Logic, Probability, Mathematics Instruction, Statistics
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Duff, William L., Jr.; Lynch, Robert M. – Journal of Experimental Education, 1977
In this study, the graduate school admission policy at a medium-sized, state-supported university is analyzed using a combination of Bayesian and cost/benefit decision analysis techniques. (Author)
Descriptors: Admission Criteria, Bayesian Statistics, Decision Making, Graduate Study