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Testing equivalence to families of multinomial distributions with application to the independence model

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  • Ostrovski, Vladimir

Abstract

We introduce tests for equivalence to families of multinomial distributions. The finite sample performance of the tests is improved by bootstrapping. We apply the tests to the independence model of two-way contingency tables and study finite sample performance by simulation. We apply tests to real data sets.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:stapro:v:139:y:2018:i:c:p:61-66
    DOI: 10.1016/j.spl.2018.03.014
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    1. Ostrovski, Vladimir, 2017. "Testing equivalence of multinomial distributions," Statistics & Probability Letters, Elsevier, vol. 124(C), pages 77-82.
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    Cited by:

    1. Ostrovski, Vladimir, 2022. "Testing equivalence to binary generalized linear models with application to logistic regression," Statistics & Probability Letters, Elsevier, vol. 191(C).
    2. Vladimir Ostrovski, 2020. "New Equivalence Tests for Hardy–Weinberg Equilibrium and Multiple Alleles," Stats, MDPI, vol. 3(1), pages 1-6, February.
    3. Bastian, P. & Dette, H. & Koletzko, L., 2024. "Testing equivalence of multinomial distributions — A constrained bootstrap approach," Statistics & Probability Letters, Elsevier, vol. 206(C).
    4. Ostrovski, Vladimir, 2022. "Testing equivalence to power law distributions," Statistics & Probability Letters, Elsevier, vol. 181(C).
    5. Vladimir Ostrovski, 2019. "New Equivalence Tests for Approximate Independence in Contingency Tables," Stats, MDPI, vol. 2(2), pages 1-8, April.

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    1. Vladimir Ostrovski, 2019. "New Equivalence Tests for Approximate Independence in Contingency Tables," Stats, MDPI, vol. 2(2), pages 1-8, April.
    2. Bastian, P. & Dette, H. & Koletzko, L., 2024. "Testing equivalence of multinomial distributions — A constrained bootstrap approach," Statistics & Probability Letters, Elsevier, vol. 206(C).
    3. Ostrovski, Vladimir, 2022. "Testing equivalence to binary generalized linear models with application to logistic regression," Statistics & Probability Letters, Elsevier, vol. 191(C).
    4. Luai Al-Labadi & Petru Ciur & Milutin Dimovic & Kyuson Lim, 2023. "Assessing Multinomial Distributions with a Bayesian Approach," Mathematics, MDPI, vol. 11(13), pages 1-16, July.

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