ERIC Number: EJ1217564
Record Type: Journal
Publication Date: 2019
Pages: 29
Abstractor: As Provided
ISBN: N/A
ISSN: ISSN-0022-0655
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Standard Errors of IRT Parameter Scale Transformation Coefficients: Comparison of Bootstrap Method, Delta Method, and Multiple Imputation Method
Zhang, Zhonghua; Zhao, Mingren
Journal of Educational Measurement, v56 n2 p302-330 Sum 2019
The present study evaluated the multiple imputation method, a procedure that is similar to the one suggested by Li and Lissitz (2004), and compared the performance of this method with that of the bootstrap method and the delta method in obtaining the standard errors for the estimates of the parameter scale transformation coefficients in item response theory (IRT) equating in the context of the common-item nonequivalent groups design. Two different estimation procedures for the variance-covariance matrix of the IRT item parameter estimates, which were used in both the delta method and the multiple imputation method, were considered: empirical cross-product (XPD) and supplemented expectation maximization (SEM). The results of the analyses with simulated and real data indicate that the multiple imputation method generally produced very similar results to the bootstrap method and the delta method in most of the conditions. The differences between the estimated standard errors obtained by the methods using the XPD matrices and the SEM matrices were very small when the sample size was reasonably large. When the sample size was small, the methods using the XPD matrices appeared to yield slight upward bias for the standard errors of the IRT parameter scale transformation coefficients.
Descriptors: Item Response Theory, Error Patterns, Item Analysis, Simulation, Sample Size, Comparative Analysis, Measurement Techniques
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Publication Type: Journal Articles; Reports - Research
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Language: English
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