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

Measuring association via lack of co-monotonicity: the LOC index and a problem of educational... 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. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Dependence Modeling de Gruyter

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

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Publisher
de Gruyter
Copyright
Copyright © 2015 by the
ISSN
2300-2298
eISSN
2300-2298
DOI
10.1515/demo-2015-0006
Publisher site
See Article on Publisher Site

Abstract

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.

Journal

Dependence Modelingde Gruyter

Published: Jun 18, 2015

References