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

2015/02/25 by Danang Teguh Qoyyimi, Qoyyimi, Danang Teguh, Ričardas Zitikis +1
Decision Sciences · Social Sciences · #62H20 #62P15 #FOS: Computer and information sciences #Methodology (stat.ME) #Multi-Criteria Decision Making #School Choice and Performance

paper · pdf · doi:10.48550/arxiv.1502.07125

openalex publication_date 2015/02/25 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28

Abstract

Measuring association, or the lack of it, between variables plays an\nimportant role in a variety of research areas, including education, which is of\nour primary interest in this paper. Given, for example, student marks on\nseveral study subjects, we may for a number of reasons be interested in\nmeasuring the lack of co-monotonicity (LOC) between the marks, which rarely\nfollow monotone, let alone linear, patterns. For this purpose, in this paper we\nexplore a novel approach based on a LOC index, which is related to, yet\nsubstantially different from, Eckhard Liebscher's recently suggested\ncoefficient of monotonically increasing dependence. To illustrate the new\ntechnique, we analyze a data-set of student marks on mathematics, reading and\nspelling.\n

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