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Lord, Frederic M. – 1984
There are currently three main approaches to parameter estimation in item response theory (IRT): (1) joint maximum likelihood, exemplified by LOGIST, yielding maximum likelihood estimates; (2) marginal maximum likelihood, exemplified by BILOG, yielding maximum likelihood estimates of item parameters (ability parameters can be estimated…
Descriptors: Bayesian Statistics, Comparative Analysis, Estimation (Mathematics), Latent Trait Theory
Lord, Frederic M. – 1971
A numerical procedure is outlined for obtaining an interval estimate of a parameter in an empirical Bayes estimation problem. The case where each observed value x has a binomial distribution, conditional on a parameter zeta, is the only case considered. For each x, the parameter estimated is the expected value of zeta given x. The main purpose is…
Descriptors: Bayesian Statistics, Computer Programs, Expectation, Goodness of Fit
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Lord, Frederic M. – Journal of Educational Measurement, 1986
Advantages and disadvantages of joint maximum likelihood, marginal maximum likelihood, and Bayesian methods of parameter estimation in item response theory are discussed and compared. (Author)
Descriptors: Bayesian Statistics, Error Patterns, Estimation (Mathematics), Higher Education