An Approximate Statistical Test for Correlations between Proportions

The observed means and variances of data occurring as proportions or percentages may be used to estimate analogous parameters of a theoretical open array, X, which, on closure, yields a new array, Y, whose means and variances are exactly those of the observed data, but in which the covariances have...

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Bibliographic Details
Published in:The Journal of geology 1966-09, Vol.74 (5), p.692-702
Main Authors: Chayes, Felix, Kruskal, William
Format: Article
Language:English
Subjects:
Correlations
Covariance
Covariance matrices
Estimators for the mean
Mathematical vectors
Null hypothesis
Proportions
Statistical discrepancies
Statistical tests
Variance
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Summary:The observed means and variances of data occurring as proportions or percentages may be used to estimate analogous parameters of a theoretical open array, X, which, on closure, yields a new array, Y, whose means and variances are exactly those of the observed data, but in which the covariances have been generated entirely by closure. The correlations in Y, found directly from the means and variances of X, are appropriate null values against which the observed correlations may be tested, A testing procedure is outlined, and a practical example is given.
ISSN:0022-1376
1537-5269
DOI:10.1086/627204