Standard Error Estimation of 3PL IRT True Score Equating with an MCMC Method

Autor/inn/en	Liu, Yuming; Schulz, E. Matthew; Yu, Lei
Titel	Standard Error Estimation of 3PL IRT True Score Equating with an MCMC Method
Quelle	In: Journal of Educational and Behavioral Statistics, 33 (2008) 3, S.257-278 (22 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	1076-9986
DOI	10.3102/1076998607306076
Schlagwörter	Reading Comprehension; Test Format; Markov Processes; Educational Testing; True Scores; Item Response Theory; Monte Carlo Methods; Comparative Analysis; Vocabulary; Language Tests; Error of Measurement; Iowa Tests of Basic Skills + Suchen Sie Ihr Suchwort? Leseverstehen; Testentwicklung; Markowscher Prozess; Item-Response-Theorie; Monte-Carlo-Methode; Wortschatz; Language test; Sprachtest; Messfehler
Abstract	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.) (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2017/4/10