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

Danang Teguh Qoyyimi; Ricardas Zitikis

Dependence Modeling (2015)

  • Volume: 3, Issue: 1, page 83-97, electronic only
  • ISSN: 2300-2298

Abstract

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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.

How to cite

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Danang Teguh Qoyyimi, and Ricardas Zitikis. "Measuring association via lack of co-monotonicity: the LOC index and a problem of educational assessment." Dependence Modeling 3.1 (2015): 83-97, electronic only. <http://eudml.org/doc/270850>.

@article{DanangTeguhQoyyimi2015,
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.},
author = {Danang Teguh Qoyyimi, Ricardas Zitikis},
journal = {Dependence Modeling},
keywords = {association; co-monotonicity; Liebscher coefficient; LOC index; education; performance evaluation},
language = {eng},
number = {1},
pages = {83-97, electronic only},
title = {Measuring association via lack of co-monotonicity: the LOC index and a problem of educational assessment},
url = {http://eudml.org/doc/270850},
volume = {3},
year = {2015},
}

TY - JOUR
AU - Danang Teguh Qoyyimi
AU - Ricardas Zitikis
TI - Measuring association via lack of co-monotonicity: the LOC index and a problem of educational assessment
JO - Dependence Modeling
PY - 2015
VL - 3
IS - 1
SP - 83
EP - 97, electronic only
AB - 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.
LA - eng
KW - association; co-monotonicity; Liebscher coefficient; LOC index; education; performance evaluation
UR - http://eudml.org/doc/270850
ER -

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