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June, 1987 The Amalgamation and Geometry of Two-by-Two Contingency Tables
I. J. Good, Y. Mittal
Ann. Statist. 15(2): 694-711 (June, 1987). DOI: 10.1214/aos/1176350369

Abstract

If a pair of two-by-two contingency tables are amalgamated by addition it can happen that a measure of association for the amalgamated table lies outside the interval between the association measures of the individual tables. We call this the amalgamation paradox and we show how it can be avoided by suitable designs of the sampling experiments. We also study the conditions for the "homogeneity" of two subpopulations with respect to various measures of association. Some of the proofs have interesting geometrical interpretations.

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I. J. Good. Y. Mittal. "The Amalgamation and Geometry of Two-by-Two Contingency Tables." Ann. Statist. 15 (2) 694 - 711, June, 1987. https://doi.org/10.1214/aos/1176350369

Information

Published: June, 1987
First available in Project Euclid: 12 April 2007

zbMATH: 0665.62058
MathSciNet: MR888434
Digital Object Identifier: 10.1214/aos/1176350369

Subjects:
Primary: 62H17
Secondary: 62A99

Rights: Copyright © 1987 Institute of Mathematical Statistics

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Vol.15 • No. 2 • June, 1987
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