New Equivalence Tests for Approximate Independence in Contingency Tables

Stats 2019, 2(2), 239-246; DOI:10.3390/stats2020018

8 Pages Posted: 24 May 2019 Last revised: 26 Jun 2019

Date Written: April 23, 2019

Abstract

We introduce new equivalence tests for approximate independence in two-way contingency tables. The critical values are calculated asymptotically. The finite sample performance of the tests is improved by means of the bootstrap. An estimator of boundary points is developed to make the bootstrap based tests statistically efficient and computationally feasible. We compare the performance of the proposed tests for different table sizes by simulation. Then we apply the tests to real data sets. The tests are implemented in R and available online, see https://github.com/TestingEquivalence/EquivalenceTestIndependenceR.

Keywords: testing, approximate independence, contingency tables, bootstrap, equivalence, minimum distance, boundary point estimator

Suggested Citation

Ostrovski, Vladimir, New Equivalence Tests for Approximate Independence in Contingency Tables (April 23, 2019). Stats 2019, 2(2), 239-246; DOI:10.3390/stats2020018, Available at SSRN: https://ssrn.com/abstract=3379224

Vladimir Ostrovski (Contact Author)

Talanx Asset Management ( email )

Charles-de-Gaulle-Platz 1
Cologne, DE NRW 50679
Germany

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