Variance Modeling for Differentially Private Counts
Abstract Number:
3028
Submission Type:
Contributed Abstract
Contributed Abstract Type:
Paper
Participants:
Kyle Irimata (1)
Institutions:
(1) U.S. Census Bureau, Washington, DC
First Author:
Presenting Author:
Abstract Text:
The Census Bureau adopted differential privacy (DP) as implemented through the TopDown Algorithm (TDA) for the 2020 Decennial Census in order to protect respondent confidentiality. Though the variances of the additive DP noise are publicly available, the impacts of postprocessing in the TDA to ensure various quality metrics, such as hierarchical consistency and non-negativity are met are less easily quantified as the unprotected counts are not publicly available for 2020 data. In this work, we investigate the use of a small area estimation approach to strengthen estimates of variability obtained using the 2010 demonstration products, as compared to the official 2010 redistricting file. We propose using a grouping of similar geographies to obtain estimates of variance from the 2010 data, and to incorporate a modified generalized variance function to improve the estimates for 2020.
Keywords:
Small Area Estimation|Differential Privacy|Generalized variance function| | |
Sponsors:
Survey Research Methods Section
Tracks:
Data Analysis/Modeling
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