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Dependence Modeling

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

Danang Teguh Qoyyimi
  • 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
  • Other articles by this author:
  • De Gruyter OnlineGoogle Scholar
/ Ricardas Zitikis
  • Department of Statistical and Actuarial Sciences, University of Western Ontario, London, Ontario N6A 5B7, Canada
  • Other articles by this author:
  • De Gruyter OnlineGoogle Scholar
Published Online: 2015-06-18 | DOI: https://doi.org/10.1515/demo-2015-0006


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

MSC:: 62H20, 62P15


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About the article

Received: 2014-04-16

Accepted: 2015-06-06

Published Online: 2015-06-18

Citation Information: Dependence Modeling, Volume 3, Issue 1, ISSN (Online) 2300-2298, DOI: https://doi.org/10.1515/demo-2015-0006.

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© 2015 Danang Teguh Qoyyimi and Ricardas Zitikis. This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 3.0 License. BY-NC-ND 3.0

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