Bounds for Cell Entries in Contingency Tables Induced by Fixed Marginal Totals
نویسندگان
چکیده
We describe new results for upper and lower bounds on the entries in multi-way tables of counts based on a set of released and possibly overlapping marginal tables which have practical import for assessing disclosure risk. In particular, we present a generalized version of the shuttle algorithm proposed by Buzzigoli and Giusti that is proven to compute sharp integer bounds for an arbitrary set of fixed marginals.
منابع مشابه
Bounds for cell entries in contingency tables induced by fixed marginal totals with applications to disclosure limitation
We describe new results for upper and lower bounds on the entries in multi-way tables of counts based on a set of released and possibly overlapping marginal tables which have practical importance for assessing disclosure risk. In particular, we present a generalized version of the shuttle algorithm proposed by Buzzigoli and Giusti that is proven to compute sharp integer bounds for an arbitrary ...
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We describe new results for sharp upper and lower bounds on the entries in multi-way tables of counts based on a set of released and possibly overlapping marginal tables. In particular, we present a generalized version of the shuttle algorithm proposed by Buzzigoli and Giusti that computes sharp integer bounds for an arbitrary set of fixed marginals. We also present two examples which illustrat...
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Statistical methods for disclosure limitation (or control) have seen coupling of tools from statistical methodologies and operations research. For the summary and release of data in the form of a contingency table some methods have focused on evaluation of bounds on cell entries in k-way tables given the sets of marginal totals, with less focus on evaluation of disclosure risk given other summa...
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Abstract: The structure of the space of possible contingency table realizations under some constraints such as marginal totals has been studied in the algebraic statistics literature. The properties of the space of tables, i.e., fibers, are important for conducting exact conditional inferences, calculating cell bounds, imputing missing cell values, and assessing the risk of disclosure of sensit...
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تاریخ انتشار 2001