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January 1, 1992Psychological Bulletin2,437 citations

Comparing correlated correlation coefficients.

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XMXiao-Li MengRRRobert RosenthalDRDonald B. Rubin

Key Points

  • The article aims to introduce simple methods for comparing correlation coefficients between a dependent variable and independent variables.
  • Develops tests using the Fisher z transformation for comparing two correlated correlations.
  • Introduces tests for heterogeneity and contrasts among k (>2) correlated correlations.
  • Discusses the limitations of Hotelling's t test for correlated correlations.
  • Provides confidence intervals for the proposed methods.
  • Demonstrates practical advantages over traditional comparison methods.

Abstract

The purpose of this article is to provide simple but accurate methods for comparing correlation coefficients between a dependent variable and a set of independent variables. The methods are simple extensions of Dunn & Clark's (1969) work using the Fisher z transformation and include a test and confidence interval for comparing two correlated correlations, a test for heterogeneity, and a test and confidence interval for a contrast among k (>2) correlated correlations. Also briefly discussed is why the traditional Hotelling's t test for comparing correlated correlations is generally not appropriate in practice

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Cite This Study

Meng et al. (1992) studied this question.

synapsesocial.com/papers/69d7af6eb1cb92dd1bb8bb2dhttps://doi.org/10.1037/0033-2909.111.1.172
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Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1Confidence Intervals for the Means of Dependent, Normally Distributed Variables1959 · 112 citations
  2. 2VII. Mathematical contributions to the theory of evolution.— IV. On the probable errors of frequency constants and on the influence of random selection on variation and correlation1898 · 220 citations
  3. 3Equality of Dependent Correlation Coefficients1975 · 82 citations
  4. 4Tests for comparing elements of a correlation matrix.1980 · 4,488 citations
  5. 5Fundamental Statistics in Psychology and Education.1951 · 3,487 citations