Computation of the Response Similarity Index M4 in R under the Dichotomous and Nominal Item Response Models

Autor/in	Zopluoglu, Cengiz
Titel	Computation of the Response Similarity Index M4 in R under the Dichotomous and Nominal Item Response Models
Quelle	In: International Journal of Assessment Tools in Education, 6 (2019) 5, S.1-19 (19 Seiten) PDF als Volltext kostenfreie Datei Verfügbarkeit
Zusatzinformation	ORCID (Zopluoglu, Cengiz)
Sprache	englisch
Dokumenttyp	gedruckt; online; Zeitschriftenaufsatz
ISSN	2148-7456
Schlagwörter	Item Response Theory; Computation; Cheating; Measurement Techniques; Probability; Statistical Distributions + Suchen Sie Ihr Suchwort? Item-Response-Theorie; Prellen; Messtechnik; Wahrscheinlichkeitsrechnung; Wahrscheinlichkeitstheorie; Wahrscheinlichkeitsverteilung
Abstract	Unusual response similarity among test takers may occur in testing data and be an indicator of potential test fraud (e.g., examinees copy responses from other examinees, send text messages or pre-arranged signals among themselves for the correct response, item pre-knowledge). One index to measure the degree of similarity between two response vectors is M4 proposed by Maynes (2014). M4 index is based on a generalized trinomial distribution and it is computationally very demanding. There is currently no accessible tool for practitioners who may want to use M4 in their research and practice. The current paper introduces the M4 index and its computational details for the dichotomous and nominal item response models, provides an R function to compute the probability distribution for the generalized trinomial distribution, and then demonstrates the computation of the M4 index under the dichotomous and nominal item response models using R. (As Provided).
Anmerkungen	International Journal of Assessment Tools in Education. Pamukkale University, Faculty of Education, Kinikli Campus, Denizli 20070, Turkey. e-mail: ijate.editor@gmail.com; Web site: https://ijate.net/index.php/ijate
Erfasst von	ERIC (Education Resources Information Center), Washington, DC
Update	2024/1/01