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The American Statistician
Measuring Dependency With Volume Tests
To cite this paper:
Chiara Sabatti.
The American Statistician.
August 1, 2002,
56(3): 191-195.
doi:10.1198/000313002128.
Chiara SabattiChiara Sabatti is Assistant Professor of Statistics and Human Genetics at UCLA, Los Angeles, CA 90095-1554 (E-mail: csabatti@mednet.ucla.edu). This work was completed while she was a post-doctoral fellow in the laboratory of Neil Risch in the Genetics department of the Stanford School of Medicine, Stanford, CA 94305.
Volume tests in a regression context were introduced by Hotelling in 1939. The concept was revisited by Diaconis and Efron in 1985, this time in the case of contingency tables to refine the power of explanation of the χ2 test. This article considers volume tests as a measure of dependency for tables with fixed margins. Building on earlier contributions, this article suggests the use of the volume test statistic as a measure of dependence to be applied, for example, in the evaluation of linkage disequilibrium between markers.
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