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Disclosure Analysis for Two-Way Contingency Tables

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Privacy in Statistical Databases (PSD 2006)

Part of the book series: Lecture Notes in Computer Science ((LNISA,volume 4302))

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Abstract

Disclosure analysis in two-way contingency tables is important in categorical data analysis. The disclosure analysis concerns whether a data snooper can infer any protected cell values, which contain privacy sensitive information, from available marginal totals (i.e., row sums and column sums) in a two-way contingency table. Previous research has been targeted on this problem from various perspectives. However, there is a lack of systematic definitions on the disclosure of cell values. Also, no previous study has been focused on the distribution of the cells that are subject to various types of disclosure. In this paper, we define four types of possible disclosure based on the exact upper bound and/or the lower bound of each cell that can be computed from the marginal totals. For each type of disclosure, we discover the distribution pattern of the cells subject to disclosure. Based on the distribution patterns discovered, we can speed up the search for all cells subject to disclosure.

Work of Lu and Li was supported in part by SMU Research Office. Work of Wu was supported in part by USA National Science Foundation Grant IIS-0546027.

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Authors and Affiliations

  1. Singapore Management University, 80 Stamford Road, 178902, Singapore

    Haibing Lu & Yingjiu Li

  2. University of North Carolina at Charlotte, 9201 Univ City Blvd, Charlotte, NC, 28223, USA

    Xintao Wu

Authors
  1. Haibing Lu
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  2. Yingjiu Li
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  3. Xintao Wu
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Editors and Affiliations

  1. Department of Computer Engineering and Mathematics, Universitat Rovira i Virgili, UNESCO Chair in Data Privacy, Av. Països Catalans 26, E-43007, Tarragona, Catalonia

    Josep Domingo-Ferrer

  2. Istat, Servizio Progettazione e Supporto Metodologico, nei Processi di Produzione Statistica, Via Cesare Balbo 16, 00184, Roma, Italy

    Luisa Franconi

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Lu, H., Li, Y., Wu, X. (2006). Disclosure Analysis for Two-Way Contingency Tables. In: Domingo-Ferrer, J., Franconi, L. (eds) Privacy in Statistical Databases. PSD 2006. Lecture Notes in Computer Science, vol 4302. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11930242_6

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  • DOI: https://doi.org/10.1007/11930242_6

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-49330-3

  • Online ISBN: 978-3-540-49332-7

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