文章基本信息

标题：Measuring association via lack of co-monotonicity: the LOC index and a problem of educational assessment
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作者：Danang Teguh Qoyyimi ; Ricardas Zitikis
期刊名称：Dependence Modeling
电子版ISSN：2300-2298
出版年度：2015
卷号：-1
期号：open-issue
页码：83-97
DOI：10.1515/demo-2015-0006
出版社：Walter de Gruyter GmbH
摘要：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.
关键词：association ; co-monotonicity ; Liebscher coefficient ; LOC index ; education ; performance evaluation ; 62H20; 62P15