Measuring association via lack of co-monotonicity: the LOC index and a problem of educational assessment

Qoyyimi Danang Teguh and Zitikis Ricardas
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Qoyyimi Danang Teguh: Department of Mathematics, Universitas Gadjah Mada, Yogyakarta 55281, Indonesia; and Department of Statistical and Actuarial Sciences, University of Western Ontario, London, Ontario N6A 5B7, Canada
Zitikis Ricardas: Department of Statistical and Actuarial Sciences, University of Western Ontario, London, Ontario N6A 5B7, Canada

Dependence Modeling, 2015, vol. 3, issue 1, 15

Abstract: Measuring association, or the lack of it, between variables plays an important role in a variety of research areas, including education,which is of our primary interest in this paper. Given, for example, student marks on several study subjects, we may for a number of reasons be interested in measuring the lack of comonotonicity (LOC) between the marks, which rarely follow monotone, let alone linear, patterns. For this purpose, in this paperwe explore a novel approach based on a LOCindex,which is related to, yet substantially different from, Eckhard Liebscher’s recently suggested coefficient of monotonically increasing dependence. To illustrate the new technique,we analyze a data-set of student marks on mathematics, reading and spelling.

Keywords: association; co-monotonicity; Liebscher coefficient; LOC index; education; performance evaluation; 62H20; 62P15; association; co-monotonicity; Liebscher coefficient; LOC index; education; performance evaluation; 62H20; 62P15 (search for similar items in EconPapers)
Date: 2015
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Persistent link: https://EconPapers.repec.org/RePEc:vrs:demode:v:3:y:2015:i:1:p:15:n:6

DOI: 10.1515/demo-2015-0006

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