A Historical Note on Zero Correlation and Independence

A Historical Note on Zero Correlation and Independence

Ever since the introduction of the correlation coefficient in 1888, there has been some confusion between zero correlation and statistical independence. We examine this, with emphasis on Student's famous 1908 paper leading to the t-test, and indicate some subsequent developments.

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Bibliographische Detailangaben
Veröffentlicht in:The American statistician 2009-05, Vol.63 (2), p.185-186
1. Verfasser: David, Herbert A.
Format: Artikel
Sprache:eng
Schlagworte:
"Student"
Correlation analysis
Correlation coefficients
Correlations
Exact sciences and technology
Gaussian distributions
General topics
History Corner
Hypothesis testing
Independent sample
Mathematics
Multivariate analysis
Probability and statistics
Sciences and techniques of general use
Statistical independence
Statistical methods
Statistics
Symmetry
t-test
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Beschreibung
Zusammenfassung:Ever since the introduction of the correlation coefficient in 1888, there has been some confusion between zero correlation and statistical independence. We examine this, with emphasis on Student's famous 1908 paper leading to the t-test, and indicate some subsequent developments.
ISSN:0003-1305
1537-2731
DOI:10.1198/tast.2009.0034