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A Simple Statistic for Comparing Moderation of Slopes and Correlations

Smithson, Michael


Given a linear relationship between two continuous random variables X and Y that may be moderated by a third, Z, the extent to which the correlation ρ is (un)moderated by Z is equivalent to the extent to which the regression coefficients β(y) and β(x) are (un)moderated by Z iff the variance ratio [Formula: see text] is constant over the range or states of Z. Otherwise, moderation of slopes and of correlations must diverge. Most of the literature on this issue focuses on tests for heterogeneity...[Show more]

CollectionsANU Research Publications
Date published: 2012-07-09
Type: Journal article
Source: Frontiers in Psychology
DOI: 10.3389/fpsyg.2012.00231


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