Abstract
The four statistics examined are available for use in comparing two dependent correlation coefficients (correlations between two predictors and a common criterion from a single sample wherein the predictors themselves may be correlated). There has been much past discussion in the literature of the properties and appropriate situations for these statistics. Two somewhat counterintuitive results are given here; both are examined using variables of interest to applied clinical researchers. It is shown by example that there are situations for which the observed value of these statistics increases (and thus power increases) as the predictor intercorrelation increases. Further, it is shown that there are situations for which the observed statistics increase as the magnitude (but not the difference) of the two correlations being compared increases, holding the predictor intercorrelation constant.
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