Differentially Private Hypothesis Testing with the Subsampled and Aggregated Randomized Response Mechanism
Methodology
2023-03-06 v2
Abstract
Randomized response is one of the oldest and most well-known methods for analyzing confidential data. However, its utility for differentially private hypothesis testing is limited because it cannot achieve high privacy levels and low type I error rates simultaneously. In this article, we show how to overcome this issue with the subsample and aggregate technique. The result is a general-purpose method that can be used for both frequentist and Bayesian testing. {{We illustrate the performance of our proposal in three scenarios: goodness-of-fit testing for linear regression models, nonparametric testing of a location parameter with the Wilcoxon test, and the nonparametric Kruskal-Wallis test.
Cite
@article{arxiv.2208.06803,
title = {Differentially Private Hypothesis Testing with the Subsampled and Aggregated Randomized Response Mechanism},
author = {Víctor Peña and Andrés F. Barrientos},
journal= {arXiv preprint arXiv:2208.06803},
year = {2023}
}