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

• Autorzy: Danang Teguh Qoyyimi , Ricardas Zitikis
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

association; co-monotonicity; Liebscher coefficient; LOC index; education; performance evaluation

Kategorie tematyczne

• 62P15: Applications to psychology
• 62H20: Measures of association (correlation, canonical correlation, etc.)

• Wydawca: De Gruyter Open
• Czasopismo: Dependence Modeling
• Rocznik: 2015
• Tom: 3
• Numer: 1

Daty

otrzymano

2014-04-16

zaakceptowano

2015-06-06

online

2015-06-18

Twórcy

autor

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

autor

Ricardas Zitikis

• Department of Statistical and Actuarial Sciences, University of Western Ontario,
  London, Ontario N6A 5B7, Canada

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Identyfikatory

DOI

10.1515/demo-2015-0006