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Statistics > Methodology

arXiv:2302.04260 (stat)
[Submitted on 8 Feb 2023]

Title:The Test of Tests: A Framework For Differentially Private Hypothesis Testing

Authors:Zeki Kazan, Kaiyan Shi, Adam Groce, Andrew Bray
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Abstract:We present a generic framework for creating differentially private versions of any hypothesis test in a black-box way. We analyze the resulting tests analytically and experimentally. Most crucially, we show good practical performance for small data sets, showing that at epsilon = 1 we only need 5-6 times as much data as in the fully public setting. We compare our work to the one existing framework of this type, as well as to several individually-designed private hypothesis tests. Our framework is higher power than other generic solutions and at least competitive with (and often better than) individually-designed tests.
Comments: The main text is 14 pages and 4 figures. Appendices are 10 pages and 12 figures
Subjects: Methodology (stat.ME); Cryptography and Security (cs.CR); Machine Learning (cs.LG)
Cite as: arXiv:2302.04260 [stat.ME]
  (or arXiv:2302.04260v1 [stat.ME] for this version)
  https://doi.org/10.48550/arXiv.2302.04260

Submission history

From: Zeki Kazan [view email]
[v1] Wed, 8 Feb 2023 18:51:12 UTC (1,407 KB)
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