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We develop differentially private hypothesis testing methods for the small sample regime.
The Design of Experiments
Ronald A. Fisher · 1935
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Towards a methodology for statistical disclosure control
Tore Dalenius · 1977
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The analysis of categorical data from complex sample surveys: Chi-squared tests for goodness of fit and independence in two-way tables
Jon N.K. Rao and Alastair J. Scott · 1981
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Security-control methods for statistical databases: A comparative study
Nabil R. Adam and John C. Worthmann · 1989
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Bounds on tail probabilities of discrete distributions
Bernhard Klar · 2000
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On the design and quantification of privacy preserving data mining algorithms
Dakshi Agrawal and Charu C. Aggarwal · 2001
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Testing random variables for independence and identity
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Calibrating noise to sensitivity in private data analysis
Cynthia Dwork, Frank McSherry, Kobbi Nissim, and Adam Smith · 2006
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Differential privacy: A survey of results
Cynthia Dwork · 2008
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Resolving individuals contributing trace amounts of dna to highly complex mixtures using high-density snp genotyping microarrays
Nils Homer, Szabolcs Szelinger, Margot Redman, David Duggan, Waibhav Tembe, Jill Muehling, John V. Pearson, Dietrich A. Stephan, Stanley F. Nelson, and David W. Craig · 2008
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A coincidence-based test for uniformity given very sparsely sampled discrete data
Liam Paninski · 2008
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Error exponents for composite hypothesis testing of Markov forest distributions
Vincent Y.F. Tan, Animashree Anandkumar, and Alan S. Willsky · 2010
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Categorical Data Analysis
Alan Agresti · 2012
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Privacy-preserving data exploration in genome-wide association studies
Aaron Johnson and Vitaly Shmatikov · 2013
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Testing properties of collections of distributions
Reut Levi, Dana Ron, and Ronitt Rubinfeld · 2013
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Privacy-preserving data sharing for genome-wide association studies
Caroline Uhler, Aleksandra Slavković, and Stephen E. Fienberg · 2013
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The Algorithmic Foundations of Differential Privacy
Cynthia Dwork and Aaron Roth · 2014
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A few good inequalities
David Pollard · 2015
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Differentially private hypothesis testing, revisited
Yue Wang, Jaewoo Lee, and Daniel Kifer · 2015
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Concentrated differential privacy: Simplifications, extensions, and lower bounds
Mark Bun and Thomas Steinke · 2016
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Testing shape restrictions of discrete distributions
Clément L. Canonne, Ilias Diakonikolas, Themis Gouleakis, and Ronitt Rubinfeld · 2016
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Constantinos Daskalakis, Nishanth Dikkala, and Gautam Kamath · 2016
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A new approach for testing properties of discrete distributions
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An automatic inequality prover and instance optimal identity testing
Gregory Valiant and Paul Valiant · 2014
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Scalable privacy-preserving data sharing methodology for genome-wide association studies
Fei Yu, Stephen E. Fienberg, Aleksandra B. Slavković, and Caroline Uhler · 2014
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Optimal testing for properties of distributions
Jayadev Acharya, Constantinos Daskalakis, and Gautam Kamath · 2015
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A survey on distribution testing: Your data is big. but is it blue?
Clément L. Canonne · 2015
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Differentially private learning of structured discrete distributions
Ilias Diakonikolas, Moritz Hardt, and Ludwig Schmidt · 2015
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On the criterion that a given system of deviations from the probable in the case of a correlated system of variables is such that it can be reasonably supposed to have arisen from random sampling
Karl Pearson
Cited in the paper.
Ilias Diakonikolas and Daniel M. Kane · 2016
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Differentially private chi-squared hypothesis testing: Goodness of fit and independence testing
Marco Gaboardi, Hyun-Woo Lim, Ryan M. Rogers, and Salil P. Vadhan · 2016
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Enabling privacy-preserving gwass in heterogeneous human populations
Sean Simmons, Cenk Sahinalp, and Bonnie Berger · 2016
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A short note on Poisson tail bounds
Clément L. Canonne · 2017
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A new class of private chi-square tests
Daniel Kifer and Ryan M. Rogers · 2017
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Differentially private chi-squared test by unit circle mechanism
Kazuya Kakizaki, Jun Sakuma, and Kazuto Fukuchi · 2017
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