Relationship between strictly collapsible and perfect contingency tables

Linda June Davis

Statistics & Probability Letters, 1986, vol. 4, issue 3, 119-122

Abstract: Whittemore (1978) conjectured that an N-dimensional contingency table p is strictly collapsible over each factor with respect to the set of remaining factors if and only if p has a certain factorization. I prove this conjecture for N = 3 and show by counterexamples that it is false for N> 3.

Keywords: independence; interaction; marginalization (search for similar items in EconPapers)
Date: 1986
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