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arXiv · 2208.06803

Differentially Private Hypothesis Testing with the Subsampled and Aggregated Randomized Response Mechanism

Víctor Peña·Andrés F. Barrientos
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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.

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Víctor Peña, Andrés F. Barrientos. 2022-08-14. Differentially Private Hypothesis Testing with the Subsampled and Aggregated Randomized Response Mechanism. https://arxiv.org/abs/2208.06803

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