Assessing Goodness of Fit in Item Response Theory with Nonparametric Models: A Comparison of Posterior Probabilities and Kernel-Smoothing Approaches

Autor/inn/en	Sueiro, Manuel J.; Abad, Francisco J.
Titel	Assessing Goodness of Fit in Item Response Theory with Nonparametric Models: A Comparison of Posterior Probabilities and Kernel-Smoothing Approaches
Quelle	In: Educational and Psychological Measurement, 71 (2011) 5, S.834-848 (15 Seiten)Infoseite zur Zeitschrift PDF als Volltext Verfügbarkeit
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	0013-1644
DOI	10.1177/0013164410393238
Schlagwörter	Goodness of Fit; Item Response Theory; Nonparametric Statistics; Probability; Data Analysis; Error of Measurement; Statistical Analysis; Sample Size; Test Length; Sampling; Statistical Inference + Suchen Sie Ihr Suchwort? Item-Response-Theorie; Wahrscheinlichkeitsrechnung; Wahrscheinlichkeitstheorie; Auswertung; Messfehler; Statistische Analyse; Inferential statistics; Schließende Statistik
Abstract	The distance between nonparametric and parametric item characteristic curves has been proposed as an index of goodness of fit in item response theory in the form of a root integrated squared error index. This article proposes to use the posterior distribution of the latent trait as the nonparametric model and compares the performance of an index based on this method with another approach based on the kernel-smoothing model. Error rates and power are evaluated using the two-parameter logistic model and three types of realistic misfitted items. Results show that for fitting items, the distance between parametric and nonparametric item characteristic curves decreased as the sample size increased for both procedures. Kernel-smoothing root integrated squared error also decreased as test length increased. Bootstrap methods are used to obtain a significance test. Both procedures performed adequately in terms of Type I error rates. Regarding power, the posterior probabilities method was superior, especially in small samples, although in short tests both procedures performed in a similar way. (Contains 2 tables and 1 figure.) (As Provided).
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Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2017/4/10