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Empirical Sampling Distributions of the Product Moment Correlation Coefficient When Bivariate Observations are
Abstract:
In some correlational studies it is not reasonable to assume that bivariate observations are uncorrelated. An example would be a configural analysis in which two individuals are correlated across several variables (e.g. Q-technique). The present study was a Monte Carlo investigation of the robustness of techniques used in judging the magnitude of a sample correlation coefficient when observations are correlated. Empirical distributions of r, t, and Fisher's x were generated. Patterns of correlation were found which caused error rates to be as high as .20 when the nominal alpha was .05. A technique for controlling error rates in certain situations is suggested.
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