Year 2019, Volume 6 , Issue 5, Pages 1 - 19 2019-12-30

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

Cengiz ZOPLUOGLU [1]

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.
response similarity, M4, test fraud, item response theory, test security
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Primary Language en
Subjects Education, Scientific Disciplines
Published Date Special Issue
Journal Section Special Issue-2019

Author: Cengiz ZOPLUOGLU (Primary Author)
Institution: University of Miami
Country: United States


Publication Date : December 30, 2019

APA Zopluoglu, C . (2019). Computation of the Response Similarity Index M4 in R under the Dichotomous and Nominal Item Response Models . International Journal of Assessment Tools in Education , Promoting Free/Libre Software Use in Educational Measurement , 1-19 . DOI: 10.21449/ijate.527299