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Getting the Best Results in Controlled Rounding with the Least Effort

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Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 3050))

Abstract

This paper describes computational experiments with an algorithm for control- rounding any series of linked tables such as typically occur in official statistics, for the purpose of confidentiality protection of the individual contributors to the tables. The resulting tables consist only of multiples of the specified rounding base, are additive, and have specified levels of confidentiality protection. Computational experiments are presented demonstrating the considerable power of the program for control-rounding very large tables or series of linked tables. Heuristic approaches to problematic cases are presented, as are procedures for specifying the input to the program. The statistical properties of the rounding perturbations are described, and a method of overcoming statistical bias in the rounding algorithm is demonstrated.

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References

  1. Bacharach, M.: Matrix Rounding Problem. Management Science 9, 732–742 (1966)

    Article  MathSciNet  Google Scholar 

  2. Causey, B.D., Cox, L.H., Ernst, L.R.: Applications of Transportation Theory to Statistical Problems. Journal of the American Statistical Association 80, 903–909 (1985)

    Article  MathSciNet  Google Scholar 

  3. Cox, L.H., Ernst, L.R.: Controlled Rounding. INFOR 20, 423–432 (1982)

    MATH  Google Scholar 

  4. Cox, L.H.: A Constructive Procedure for Unbiased Controlled Rounding. Journal of the American Statistical Association 82, 520–524 (1987)

    Article  MATH  Google Scholar 

  5. Dash Optimization (2003) See web site http://www.dashoptimization.com

  6. Fischetti, M., Salazar, J.J.: Computational Experience with the Controlled Rounding Problem in Statistical Disclosure Control. Journal of Official Statistics 14/4, 553–565 (1998)

    Google Scholar 

  7. Hundepool, A.: The CASC project. In: Domingo-Ferrer, J. (ed.) Inference Control in Statistical Databases. LNCS, vol. 2316, p. 172. Springer, Heidelberg (2002)

    Chapter  Google Scholar 

  8. Kelly, J.P., Golden, B.L., Assad, A.A.: Using Simulated Annealing to Solve Controlled Rounding Problems. ORSA Journal on Computing 2, 174–185 (1990)

    MATH  Google Scholar 

  9. Kelly, J.P., Golden, B.L., Assad, A.A., Baker, E.K.: Controlled Rounding of Tabular Data. Operations Research 38, 760–772 (1990)

    Article  MATH  MathSciNet  Google Scholar 

  10. Kelly, J.P., Golden, B.L., Assad, A.A.: Large-Scale Controlled Rounding Using TABU Search with Strategic Oscillation. Annals of Operations Research 41, 69–84 (1993)

    Article  MATH  Google Scholar 

  11. Nargundkar, M.S., Saveland, W.: Random Rounding: A Means of Preventing Disclosure of Information About Individual Respondents in Aggregate Data. In: A.S.A. Annual Meeting – Proceedings of the Social Statistics Section, pp. 382–385 (1972)

    Google Scholar 

  12. Salazar-González, J.J.: A Unified Framework for Different Methodologies in Statistical Disclosure Protection. Technical paper, University of La Laguna, Tenerife, Spain (2002)

    Google Scholar 

  13. Salazar-González, J.J.: Controlled Rounding and Cell Perturbation: Statistical Disclosure Limitation Methods for Tabular Data. Technical paper, University of La Laguna, Tenerife, Spain (2002)

    Google Scholar 

  14. Ryan, M.P.: Random Rounding and Chi-Squared Analysis. The New Zealand Statistician 16, 16–25 (1981)

    Google Scholar 

  15. Willenborg, L.C.R.J., de Waal, T.: Elements of Statistical Disclosure Control. Lecture Notes in Statistics, vol. 155. Springer, Heidelberg (2001)

    Book  MATH  Google Scholar 

  16. Wolsey, L.A.: Integer Programming. Wiley Interscience, Hoboken (1998)

    MATH  Google Scholar 

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© 2004 Springer-Verlag Berlin Heidelberg

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Salazar-González, JJ., Lowthian, P., Young, C., Merola, G., Bond, S., Brown, D. (2004). Getting the Best Results in Controlled Rounding with the Least Effort. In: Domingo-Ferrer, J., Torra, V. (eds) Privacy in Statistical Databases. PSD 2004. Lecture Notes in Computer Science, vol 3050. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-25955-8_5

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  • DOI: https://doi.org/10.1007/978-3-540-25955-8_5

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-22118-0

  • Online ISBN: 978-3-540-25955-8

  • eBook Packages: Springer Book Archive

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