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Download full textBrandwein, Ann Cohen; Strawderman, William E. – 1989
This paper presents an expository development of James-Stein estimation with substantial emphasis on exact results for nonnormal location models. The themes of the paper are: (1) the improvement possible over the best invariant estimator via shrinkage estimation is not surprising but expected from a variety of perspectives; (2) the amount of…
Descriptors: Equations (Mathematics), Estimation (Mathematics), Maximum Likelihood Statistics, Statistical Distributions
Kim, Seock-Ho – 1998
The accuracy of the Markov chain Monte Carlo procedure, Gibbs sampling, was considered for estimation of item and ability parameters of the one-parameter logistic model. Four data sets were analyzed to evaluate the Gibbs sampling procedure. Data sets were also analyzed using methods of conditional maximum likelihood, marginal maximum likelihood,…
Descriptors: Ability, Estimation (Mathematics), Item Response Theory, Markov Processes
Yamamoto, Kentaro – 1989
This study developed a hybrid of item response theory (IRT) models and latent class models, which combined the strengths of each type of model. The primary motivation for developing the new model is to describe characteristics of examinees' knowledge at the time of the examination. Hence, the application of the model lies mainly in so-called…
Descriptors: Ability Identification, Achievement Tests, Cognitive Structures, Diagnostic Tests
Samejima, Fumiko – 1984
In order to evaluate our methods and approaches of estimating the operating characteristics of discrete item responses, it is necessary to try other comparable methods on similar sets of data. LOGIST 5 was taken up for this reason, and was tried upon the hypothetical test items, which follow the normal ogive model and were used frequently in…
Descriptors: Computer Simulation, Computer Software, Estimation (Mathematics), Item Analysis
Samejima, Fumiko – 1984
The use of a three-parameter logistic model for applying latent trait theory has become more popular because of the availability of computer programs. The program Logist 5 can be used not only for the item parameter estimation in the three-parameter logistic model, but also in the two parameter logistic model by setting the third parameter equal…
Descriptors: Correlation, Elementary Secondary Education, Equated Scores, Estimation (Mathematics)
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)
