Empirical sampling distributions of the product moment correlation coefficient when bivariate observations are correlated

Thomas J Hummel, Paul J. Feltovich

Research output: Contribution to journalArticle

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 z 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.

Original languageEnglish (US)
Pages (from-to)321-329
Number of pages9
JournalMultivariate Behavioral Research
Volume10
Issue number3
DOIs
StatePublished - Jul 1 1975

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