JSM 2004 - Toronto

Abstract #300750

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Activity Number: 71
Type: Topic Contributed
Date/Time: Monday, August 9, 2004 : 8:30 AM to 10:20 AM
Sponsor: Section on Government Statistics
Abstract - #300750
Title: Iterative Rounding for Large Frequency Tables
Author(s): Jean-René Boudreau and Krisztina Filep*+ and Lin Liu
Companies: Statistics Canada and Statistics Canada and University of California, San Diego
Address: , Ottawa, ON, K1A 0T6, Canada
Keywords: random rounding ; controlled rounding ; disclosure avoidance ; confidentiality
Abstract:

The Canadian Census of Population has used a rounding algorithm for tables to preserve confidentiality of respondents' answers. Although the method used is unbiased, cells are processed independently and hence, the protection of the statistical secrecy may not be as efficient as it could be if more knowledge about the table was available. It is important to analyze the table if the goal is to achieve better protection of the date. Having done this analysis, we may be in a position to make the rounded table more additive. We have designed a fast rounding algorithm that has the advantage of always producing an additive table. It uses the implicit relationship between rows and columns. However, it may not produce a controlled table. Probabilities of control are assessed. The iterative rounding algorithm takes this "semi-controlled" table as a starting point in a stepwise procedure to achieve more control.

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