On the occurrence of large gaps in small contingency tables

Details On the occurrence of large gaps in small contingency tables On the occurrence of large gaps in small contingency tables

2009-12-03

arxiv.org/abs/0912.0702v1

Mathematics

Optimization and Control

11 pages, 1 figure

Scientific paper

Examples of small contingency tables on binary random variables with large integer programming gaps on the lower bounds of cell entries were constructed by Sullivant. We argue here that the margins for which these constructed large gaps occur are rarely encountered, thus reopening the question of whether linear programming is an effective heuristic for detecting disclosures when releasing margins of multi-way tables. The notion of ``rarely encountered'' is made precise through the language of standard pairs.

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