Differentially Private Nonparametric Hypothesis Testing

Journal Article (Academic article)

Hypothesis tests are a crucial statistical tool for data mining and are the workhorse of scientific research in many fields. Here we study differentially private tests of independence between a categorical and a continuous variable. We take as our starting point traditional nonparametric tests, which require no distributional assumption (e.g., normality) about the data distribution. We present private analogues of the Kruskal-Wallis, Mann-Whitney, and Wilcoxon signed-rank tests, as well as the parametric one-sample t-test. These tests use novel test statistics developed specifically for the private setting. We compare our tests to prior work, both on parametric and nonparametric tests. We find that in all cases our new nonparametric tests achieve large improvements in statistical power, even when the assumptions of parametric tests are met.

Full Text

Duke Authors

Cited Authors

  • Couch, S; Kazan, Z; Shi, K; Bray, A; Groce, A

Published Date

  • November 6, 2019

Published In

  • Ccs '19: Proceedings of the 2019 Acm Sigsac Conference on Computer and Communications Security

Digital Object Identifier (DOI)

  • 10.1145/3319535.3339821