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Johnson, Matthew S.; Sinharay, Sandip – 2003
For complex educational assessments, there is an increasing use of "item families," which are groups of related items. However, calibration or scoring for such an assessment requires fitting models that take into account the dependence structure inherent among the items that belong to the same item family. C. Glas and W. van der Linden…
Descriptors: Bayesian Statistics, Constructed Response, Educational Assessment, Estimation (Mathematics)
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Kim, Jwa K.; Nicewander, W. Alan – Psychometrika, 1993
Bias, standard error, and reliability of five ability estimators were evaluated using Monte Carlo estimates of the unknown conditional means and variances of the estimators. Results indicate that estimates based on Bayesian modal, expected a posteriori, and weighted likelihood estimators were reasonably unbiased with relatively small standard…
Descriptors: Ability, Bayesian Statistics, Equations (Mathematics), Error of Measurement