Literaturnachweis - Detailanzeige
Autor/inn/en | Tijmstra, Jesper; Hessen, David J.; van der Heijden, Peter G. M.; Sijtsma, Klaas |
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Titel | Testing Manifest Monotonicity Using Order-Constrained Statistical Inference |
Quelle | In: Psychometrika, 78 (2013) 1, S.83-97 (15 Seiten)
PDF als Volltext |
Sprache | englisch |
Dokumenttyp | gedruckt; online; Zeitschriftenaufsatz |
ISSN | 0033-3123 |
DOI | 10.1007/s11336-012-9297-x |
Schlagwörter | Item Response Theory; Statistical Inference; Probability; Psychometrics; Measurement Techniques; Error of Measurement; Scores; Test Items; Simulation |
Abstract | Most dichotomous item response models share the assumption of latent monotonicity, which states that the probability of a positive response to an item is a nondecreasing function of a latent variable intended to be measured. Latent monotonicity cannot be evaluated directly, but it implies manifest monotonicity across a variety of observed scores, such as the restscore, a single item score, and in some cases the total score. In this study, we show that manifest monotonicity can be tested by means of the order-constrained statistical inference framework. We propose a procedure that uses this framework to determine whether manifest monotonicity should be rejected for specific items. This approach provides a likelihood ratio test for which the p-value can be approximated through simulation. A simulation study is presented that evaluates the Type I error rate and power of the test, and the procedure is applied to empirical data. (As Provided). |
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Erfasst von | ERIC (Education Resources Information Center), Washington, DC |
Update | 2017/4/10 |