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Conditions for swappability of records in a microdata set when some marginals are fixed

Akimichi Takemura·Hisayuki Hara
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Abstract

We consider swapping of two records in a microdata set for the purpose of disclosure control. We give some necessary and sufficient conditions that some observations can be swapped between two records under the restriction that a given set of marginals are fixed. We also give an algorithm to find another record for swapping if one wants to swap out some observations from a particular record. Our result has a close connection to the construction of Markov bases for contingency tables with given marginals.

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Akimichi Takemura, Hisayuki Hara. 2006-03-26. Conditions for swappability of records in a microdata set when some marginals are fixed. https://arxiv.org/abs/math/0603603

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