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Statistical inference of risk ratio in a correlated $$2 \times 2$$ table with structural zero

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  • Shun-Fang Wang
  • Xue-Ren Wang

Abstract

This paper studies a compound interval hypothesis about risk ratio in an incomplete correlated $$2\times 2$$ table. Asymptotic test statistics of the Wald-type and the logarithmic transformation are proposed, with methods of the sample estimation and the constrained maximum likelihood estimation (CMLE) being considered. Score test statistic is also considered for the interval hypothesis. The approximate sample size formulae required for a specific power for these tests are presented. Simulation results suggest that the logarithmic transformation test based on CMLE method outperforms the other tests in terms of true type I error rate. A real example is used to illustrate the proposed methods. Copyright Springer-Verlag Berlin Heidelberg 2013

Suggested Citation

  • Shun-Fang Wang & Xue-Ren Wang, 2013. "Statistical inference of risk ratio in a correlated $$2 \times 2$$ table with structural zero," Computational Statistics, Springer, vol. 28(4), pages 1599-1615, August.
    • Handle: RePEc:spr:compst:v:28:y:2013:i:4:p:1599-1615
    DOI: 10.1007/s00180-012-0368-3
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    References listed on IDEAS

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    1. Man-Lai Tang & Nian-Sheng Tang & Vincent J. Carey, 2004. "Confidence Interval for Rate Ratio in a 2 × 2 Table with Structural Zero: An Application in Assessing False-Negative Rate Ratio When Combining Two Diagnostic Tests," Biometrics, The International Biometric Society, vol. 60(2), pages 550-555, June.
    2. Wang, Shun-Fang & Tang, Nian-Sheng & Wang, Xue-Ren, 2006. "Analysis of the risk difference of marginal and conditional probabilities in an incomplete correlated 2x2 table," Computational Statistics & Data Analysis, Elsevier, vol. 50(6), pages 1597-1614, March.
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