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New Equivalence Tests for Approximate Independence in Contingency Tables

Author

Listed:
  • Vladimir Ostrovski

    (Ampega Asset Management GmbH, Charles-de-Gaulle-Platz 1, 50679 Cologne, Germany)

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.

Suggested Citation

  • Vladimir Ostrovski, 2019. "New Equivalence Tests for Approximate Independence in Contingency Tables," Stats, MDPI, vol. 2(2), pages 1-8, April.
    • Handle: RePEc:gam:jstats:v:2:y:2019:i:2:p:18-246:d:225026
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    References listed on IDEAS

    as
    1. Ostrovski, Vladimir, 2017. "Testing equivalence of multinomial distributions," Statistics & Probability Letters, Elsevier, vol. 124(C), pages 77-82.
    2. Ostrovski, Vladimir, 2018. "Testing equivalence to families of multinomial distributions with application to the independence model," Statistics & Probability Letters, Elsevier, vol. 139(C), pages 61-66.
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    Cited by:

    1. Vladimir Ostrovski, 2020. "New Equivalence Tests for Hardy–Weinberg Equilibrium and Multiple Alleles," Stats, MDPI, vol. 3(1), pages 1-6, February.

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