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

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arxiv 2208.06803 v2 pith:G6UOJSGP submitted 2022-08-14 stat.ME

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

classification stat.ME
keywords testingdifferentiallyhypothesisnonparametricprivaterandomizedresponsetest
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Differentially private hypothesis testing in survival analysis

    math.ST 2026-05 unverdicted novelty 7.0

    Initiates finite-sample theory for differentially private hypothesis testing in survival analysis, with private tests for Cox models and cumulative hazards plus minimax bounds.

  2. Privately Estimating Monotone Statistics in Polynomial Time

    cs.CR 2026-05 unverdicted novelty 6.0

    Presents polynomial-time DP algorithms for monotone statistics achieving t-factor sample savings over subsample-and-aggregate with matching query lower bounds and applications to eigenvalue and regression estimation.