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The Amalgamation and Geometry of Two-by-Two Contingency Tables

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 …