The Amalgamation and Geometry of Two-by-Two Contingency Tables
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.
Permanent link to this document: http://projecteuclid.org/euclid.aos/1176350369
Digital Object Identifier: doi:10.1214/aos/1176350369
Mathematical Reviews number (MathSciNet): MR888434
Zentralblatt MATH identifier: 0665.62058