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ERIC Number: EJ810371
Record Type: Journal
Publication Date: 2008
Pages: 22
Abstractor: As Provided
Reference Count: 48
ISSN: ISSN-1076-9986
Standard Error Estimation of 3PL IRT True Score Equating with an MCMC Method
Liu, Yuming; Schulz, E. Matthew; Yu, Lei
Journal of Educational and Behavioral Statistics, v33 n3 p257-278 2008
A Markov chain Monte Carlo (MCMC) method and a bootstrap method were compared in the estimation of standard errors of item response theory (IRT) true score equating. Three test form relationships were examined: parallel, tau-equivalent, and congeneric. Data were simulated based on Reading Comprehension and Vocabulary tests of the Iowa Tests of Basic Skills[R]. For parallel and congeneric test forms within valid IRT true score ranges, the pattern and magnitude of standard errors of IRT true score equating estimated by the MCMC method were very close to those estimated by the bootstrap method. For tau-equivalent test forms, the pattern of standard errors estimated by the two methods was also similar. Bias and mean square errors of equating produced by the MCMC method were smaller than those produced by the bootstrap method; however, standard errors were larger. In educational testing, the MCMC method may be used as an additional or alternative procedure to the bootstrap method when evaluating the precision of equating results. (Contains 8 figures and 3 tables.)
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Publication Type: Journal Articles; Reports - Research
Education Level: N/A
Audience: N/A
Language: English
Sponsor: N/A
Authoring Institution: N/A
Identifiers - Assessments and Surveys: Iowa Tests of Basic Skills