English

Small contingency tables with large gaps

Optimization and Control 2007-06-13 v1 Commutative Algebra Statistics Theory Statistics Theory

Abstract

We construct examples of contingency tables on nn binary random variables where the gap between the linear programming lower/upper bound and the true integer lower/upper bounds on cell entries is exponentially large. These examples provide evidence that linear programming may not be an effective heuristic for detecting disclosures when releasing margins of multi-way tables.

Keywords

Cite

@article{arxiv.math/0405038,
  title  = {Small contingency tables with large gaps},
  author = {Seth Sullivant},
  journal= {arXiv preprint arXiv:math/0405038},
  year   = {2007}
}

Comments

6 pages