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Autor/inn/en | Sinharay, Sandip; Jensen, Jens Ledet |
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Titel | Higher-Order Asymptotics and Its Use to Test the Equality of the Examinee Ability over Two Sets of Items |
Quelle | (2018), (42 Seiten)
PDF als Volltext (1); PDF als Volltext (2) |
Zusatzinformation | Weitere Informationen |
Sprache | englisch |
Dokumenttyp | gedruckt; online; Monographie |
DOI | 10.1007/s11336-018-9627-8 |
Schlagwörter | Test Items; Ability; Mathematics; Item Response Theory; Measurement; Change; Hypothesis Testing; Cheating |
Abstract | In educational and psychological measurement, researchers and/or practitioners are often interested in examining whether the ability of an examinee is the same over two sets of items. Such problems can arise in measurement of change, detection of cheating on unproctored tests, erasure analysis, detection of item preknowledge etc. Traditional frequentist approaches that are used in such problems include the Wald test, the likelihood ratio test, and the score test (e.g., Fischer, 2003; Finkelman, Weiss, & Kim-Kang, 2010; Glas & Dagohoy, 2007; Guo & Drasgow, 2010; Klauer & Rettig, 1990; Sinharay, 2017). This paper shows that approaches based on higher-order asymptotics (e.g., Barndorff-Nielsen & Cox, 1994; Ghosh, 1994) can also be used to test for the equality of the examinee ability over two sets of items. The modified signed likelihood ratio test (e.g. Barndorff-Nielsen, 1986) and the Lugannani-Rice approximation (Lugannani & Rice, 1980), both of which are based on higher-order asymptotics, are shown to provide some improvement over the traditional frequentist approaches in three simulations. Two real data examples are also provided. [This is an advance online version of an article published in "Psychometrika."] (As Provided). |
Erfasst von | ERIC (Education Resources Information Center), Washington, DC |
Update | 2020/1/01 |