An Empirical Comparison of Two Methods for Testing the Significance of a Correlation Matrix

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Abstract
The computation of classical ?72 (reflecting SS(Total) in the denominator) as a measure of strength of association in ANOVA designs from published research reports is often impossible because of insufficient information. Cohen's formula for q2 based on the F-test and relevant degrees of freedom yields classical 7)2 only in one way designs. Use of Cohen's formula in more complex multifactor designs yields a measure of partial 7q2. This paper reviews the distinctions between classical and partial q and derives a formula for use in those complex ANOVA designs in which the investigator desires a measure of classical 7)2 and has access only to the F-tests and relevant degrees of freedom.