Bounds for Cell Entries in Contingency Tables Induced by Fixed Marginal Totals (2001)

Abstract:

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.

Keywords:

Statistical disclosure control; Log-linear models; Decomposable models; Reducible models; Integer programming.