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Huynh, Huynh; Saunders, Joseph C., III – 1979
The Bayesian approach to setting passing scores, as proposed by Swaminathan, Hambleton, and Algina, is compared with the empirical Bayes approach to the same problem that is derived from Huynh's decision-theoretic framework. Comparisons are based on simulated data which follow an approximate beta-binomial distribution and on real test results from…
Descriptors: Bayesian Statistics, Cutting Scores, Grade 3, Mastery Tests
Yen, Wendy M. – 1982
The three-parameter logistic model discussed was used by CTB/McGraw-Hill in the development of the Comprehensive Tests of Basic Skills, Form U (CTBS/U) and the Test of Cognitive Skills (TCS), published in the fall of 1981. The development, standardization, and scoring of the tests are described, particularly as these procedures were influenced by…
Descriptors: Achievement Tests, Bayesian Statistics, Cognitive Processes, Data Collection
de la Torre, Jimmy; Patz, Richard J. – 2001
This paper seeks to extend the application of Markov chain Monte Carlo (MCMC) methods in item response theory (IRT) to include the estimation of equating relationships along with the estimation of test item parameters. A method is proposed that incorporates estimation of the equating relationship in the item calibration phase. Item parameters from…
Descriptors: Achievement Tests, Bayesian Statistics, Equated Scores, Estimation (Mathematics)