JSM 2004 - Toronto

Abstract #300092

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Activity Number: 172
Type: Invited
Date/Time: Tuesday, August 10, 2004 : 8:30 AM to 10:20 AM
Sponsor: Section on Survey Research Methods
Abstract - #300092
Title: Characterizing Multidimensional Contingency Tables with Applications to Confidentiality and Statistical Disclosure Limitation
Author(s): Stephen E. Fienberg*+ and Aleksandra Slavkovic
Companies: Carnegie Mellon University and Carnegie Mellon University
Address: Dept. of Statistics, Pittsburgh, PA, 15213,
Keywords: confidentiality ; log-linear models ; marginals ; algebraic geometry ; characterizations
Abstract:

We describe alternative ways to provide partial characterizations of probability distributions associated with two-way tables of counts (contingency tables), using marginals, conditionals, and odds ratios and their generalizations to higher dimensions. Partial specification of such distributions arising in statistical disclosure limitation usually involves the dropping of components from complete specifications. We link several partial specifications to statistical models for contingency tables and to recent developments in algebraic geometry. These links offer insights for developing statistical methodology for disclosure limitation.

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Revised March 2004