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Qian, Jiahe; Jiang, Yanming; von Davier, Alina A. – ETS Research Report Series, 2013
Several factors could cause variability in item response theory (IRT) linking and equating procedures, such as the variability across examinee samples and/or test items, seasonality, regional differences, native language diversity, gender, and other demographic variables. Hence, the following question arises: Is it possible to select optimal…
Descriptors: Item Response Theory, Test Items, Sampling, True Scores
Haberman, Shelby J.; Lee, Yi-Hsuan; Qian, Jiahe – ETS Research Report Series, 2009
Grouped jackknifing may be used to evaluate the stability of equating procedures with respect to sampling error and with respect to changes in anchor selection. Properties of grouped jackknifing are reviewed for simple-random and stratified sampling, and its use is described for comparisons of anchor sets. Application is made to examples of item…
Descriptors: Equated Scores, Accuracy, Sampling, Statistical Analysis
Haberman, Shelby J.; Qian, Jiahe – Journal of Educational and Behavioral Statistics, 2007
Statistical prediction problems often involve both a direct estimate of a true score and covariates of this true score. Given the criterion of mean squared error, this study determines the best linear predictor of the true score given the direct estimate and the covariates. Results yield an extension of Kelley's formula for estimation of the true…
Descriptors: Prediction, Regression (Statistics), True Scores, Correlation
Haberman, Shelby J.; Qian, Jiahe – ETS Research Report Series, 2004
Statistical prediction problems often involve both a direct estimate of a true score and covariates of this true score. Given the criterion of mean squared error, this study determines the best linear predictor of the true score given the direct estimate and the covariates. Results yield an extension of Kelley's formula for estimation of the true…
Descriptors: True Scores, Computation, Predictor Variables, Correlation