The Effectiveness of the M G K Measure against the Odds Ratio in the Epidemiological Study

Bruce Masonova Solozafy Bemena, André Totohasina, Daniel Rajaonasy Feno
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Abstract

In epidemiology, the rule of association is used to determine the factors at the origin of diseases; implicative statistical analysis is thus a necessary tool in epidemiology too. Epidemiologists have more often chosen the so-called odds ratio measure in their studies of the quanti…cation of the implicit link between an exposure and disease. In order to obtain good results, we need to be sure that the odds ratio measure is really the most relevant measure available. erefore, it is necessary to study the mathematical properties of the odds ratio. is paper proposes a comparative study of the behaviour and mathematical properties of the odds ratio measure, the measure of Guillaume–KhenchaŠ (MGK), and the normalised odd-ratio measure. We have chosen the MGK measure because the literature considers it to be a good measure for extracting implicit association rules according to its mathematical properties. e result in this paper concerns only the study of probabilistic data.
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流行病学研究中M - G - K指标对优势比的有效性
在流行病学中,关联规则用于确定疾病起源的因素;因此,隐含统计分析在流行病学中也是一个必要的工具。流行病学家在研究暴露与疾病之间的隐性联系时,更经常选择所谓的比值比(odds ratio)方法。为了获得好的结果,我们需要确保比值比度量确实是最相关的可用度量。因此,有必要研究优势比的数学性质。本文提出了比值比测度、Guillaume-Khencha (MGK)测度和归一化奇比测度的行为和数学性质的比较研究。我们选择了MGK度量,因为文献认为它是根据其数学性质提取隐式关联规则的一个很好的度量。本文的结果只涉及概率数据的研究。
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来源期刊
INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES
INTERNATIONAL JOURNAL OF MATHEMATICS AND MATHEMATICAL SCIENCES Mathematics-Mathematics (miscellaneous)
CiteScore
2.30
自引率
8.30%
发文量
60
审稿时长
17 weeks
期刊介绍: The International Journal of Mathematics and Mathematical Sciences is a refereed math journal devoted to publication of original research articles, research notes, and review articles, with emphasis on contributions to unsolved problems and open questions in mathematics and mathematical sciences. All areas listed on the cover of Mathematical Reviews, such as pure and applied mathematics, mathematical physics, theoretical mechanics, probability and mathematical statistics, and theoretical biology, are included within the scope of the International Journal of Mathematics and Mathematical Sciences.
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