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Statistical tests under Dallal’s model: Asymptotic and exact methods

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  • Zhiming Li
  • Changxing Ma
  • Mingyao Ai

Abstract

This paper proposes asymptotic and exact methods for testing the equality of correlations for multiple bilateral data under Dallal’s model. Three asymptotic test statistics are derived for large samples. Since they are not applicable to small data, several conditional and unconditional exact methods are proposed based on these three statistics. Numerical studies are conducted to compare all these methods with regard to type I error rates (TIEs) and powers. The results show that the asymptotic score test is the most robust, and two exact tests have satisfactory TIEs and powers. Some real examples are provided to illustrate the effectiveness of these tests.

Suggested Citation

  • Zhiming Li & Changxing Ma & Mingyao Ai, 2020. "Statistical tests under Dallal’s model: Asymptotic and exact methods," PLOS ONE, Public Library of Science, vol. 15(11), pages 1-18, November.
    • Handle: RePEc:plo:pone00:0242722
    DOI: 10.1371/journal.pone.0242722
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    References listed on IDEAS

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    1. Changxing Ma & Guogen Shan & Song Liu, 2015. "Homogeneity Test for Correlated Binary Data," PLOS ONE, Public Library of Science, vol. 10(4), pages 1-12, April.
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    Cited by:

    1. Shuyi Liang & Kai-Tai Fang & Xin-Wei Huang & Yijing Xin & Chang-Xing Ma, 2024. "Homogeneity tests and interval estimations of risk differences for stratified bilateral and unilateral correlated data," Statistical Papers, Springer, vol. 65(6), pages 3499-3543, August.

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    1. Shuyi Liang & Kai-Tai Fang & Xin-Wei Huang & Yijing Xin & Chang-Xing Ma, 2024. "Homogeneity tests and interval estimations of risk differences for stratified bilateral and unilateral correlated data," Statistical Papers, Springer, vol. 65(6), pages 3499-3543, August.

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