Bounds for Cell Entries in Two-Way Tables Given Conditional Relative Frequencies

Aleksandra B. Slavkovic, Stephen E. Fienberg

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

In recent work on statistical methods for confidentiality and disclosure limitation, Dobra and Fienberg (2000, 2003) and Dobra (2002) have generalized Bonferroni-Fréchet-Hoeffding bounds for cell entries in k-way contingency tables given marginal totals. In this paper, we consider extensions of their approach focused on upper and lower bounds for cell entries given arbitrary sets of marginals and conditionals. We give a complete characterization of the two-way table problem and discuss some implications to statistical disclosure limitation. In particular, we employ tools from computational algebra to describe the locus of all possible tables under the given constraints and discuss how this additional knowledge affects the disclosure.

Original languageEnglish (US)
Title of host publicationLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
EditorsJosep Domingo-Ferrer, Vicenc Torra
PublisherSpringer Verlag
Pages30-43
Number of pages14
ISBN (Print)3540221182, 9783540221180
DOIs
StatePublished - Jan 1 2004

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume3050
ISSN (Print)0302-9743
ISSN (Electronic)1611-3349

All Science Journal Classification (ASJC) codes

  • Theoretical Computer Science
  • Computer Science(all)

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  • Cite this

    Slavkovic, A. B., & Fienberg, S. E. (2004). Bounds for Cell Entries in Two-Way Tables Given Conditional Relative Frequencies. In J. Domingo-Ferrer, & V. Torra (Eds.), Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (pp. 30-43). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 3050). Springer Verlag. https://doi.org/10.1007/978-3-540-25955-8_3