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Activity Number: 423
Type: Contributed
Date/Time: Tuesday, August 11, 2015 : 2:00 PM to 3:50 PM
Sponsor: Government Statistics Section
Abstract #316960 View Presentation
Title: Measuring the Degree of Difference in Perturbed Data
Author(s): Marlow Lemons and Aref Dajani* and Jiashen You
Companies: U.S. Census Bureau and U.S. Census Bureau and U.S. Census Bureau
Keywords: disclosure avoidance ; chi-square ; heterogeneity comparison ; American Community Survey ; categorical data analysis ; data swapping
Abstract:

Statistical agencies have an official responsibility to mitigate disclosure to protect respondent identity. Data swapping is a common technique to achieve that effort. Consequently, it is important to evaluate the quality of the perturbed data. We investigate several metrics to quantify the degree of discrepancy between two tabulated data sets. This list ranges from established statistics such as the Gini index to Shannon entropy and more heuristic metric like the effective swap rate. A simulation study compared distributions of these statistics under different settings of swap rate and skewness. Applications to the one-year American Community Survey are presented.


Authors who are presenting talks have a * after their name.

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