Empirical evaluation of statistical inference from differentially-private contingency tables

  • Authors:
  • Anne-Sophie Charest

  • Affiliations:
  • Université Laval, Canada

  • Venue:
  • PSD'12 Proceedings of the 2012 international conference on Privacy in Statistical Databases
  • Year:
  • 2012

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Abstract

In this paper, we evaluate empirically the quality of statistical inference from differentially-private synthetic contingency tables. We compare three methods: histogram perturbation, the Dirichlet-Multinomial synthesizer and the Hardt-Ligett-McSherry algorithm. We consider a goodness-of-fit test for models suitable to the real data, and a model selection procedure. We find that the theoretical guarantees associated with these differentially-private datasets do not always translate well into guarantees about the statistical inference on the synthetic datasets.