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标题：Un indice général d’association entre deux variables continues; A general non-linear index of association for two continuous variables
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作者：Louis Laurencelle
期刊名称：Tutorials in Quantitative Methods for Psychology
电子版ISSN：1913-4126
出版年度：2012
卷号：8
期号：3
页码：163-172
DOI：10.20982/tqmp.08.3.p163
出版社：Université de Montréal
摘要：Measuring and assessing the degree of association between two continuous variables, say X and Y, has heretofore been restricted by the mandatory specification of a parametric model, be it linear (simple or polynomial), cyclic, autoregressive, or other. We propose as a new quantifying principle the idea that, if a variable Y is in some way linked to a variable X, values of Y immediately neighbouring on X should differ less than non-neighbouring ones, so that the “permutative variance” (i.e. variance of successive differences) of the Y concomitants of X should be low. Two indices, one asymmetrical (Y on X), the other symmetrical (Y cum X), are explored and exemplified, and their appropriate critical values, power characteristics and relative merits are established.