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The Test of Tests: A Framework for Differentially Private Hypothesis Testing

Zeki Kazan · Kaiyan Shi · Adam Groce · Andrew Bray

Exhibit Hall 1 #741
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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 ε = 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.

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