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Some Statistical Properties of Efficiency Robust Tests with Applications to Genetic Association Studies

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  • Gang Zheng
  • Qizhai Li
  • Ao Yuan

Abstract

type="main" xml:id="sjos12060-abs-0001"> Although efficiency robust tests are preferred for genetic association studies when the genetic model is unknown, their statistical properties have been studied for different study designs separately under special situations. We study some statistical properties of the maximin efficiency robust test and a maximum-type robust test (MAX3) under a general setting and obtain unified results. The results can also be applied to testing hypothesis with a constrained two-dimensional parameter space. The results are applied to genetic association studies using case–parents trio data.

Suggested Citation

  • Gang Zheng & Qizhai Li & Ao Yuan, 2014. "Some Statistical Properties of Efficiency Robust Tests with Applications to Genetic Association Studies," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 41(3), pages 762-774, September.
    • Handle: RePEc:bla:scjsta:v:41:y:2014:i:3:p:762-774
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    File URL: http://hdl.handle.net/10.1111/sjos.12060
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    References listed on IDEAS

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    1. LOUISE M. RYAN & Boris Freidlin & Marvin J. Podgor & Joseph L. Gastwirth, 1999. "Efficiency Robust Tests for Survival or Ordered Categorical Data," Biometrics, The International Biometric Society, vol. 55(3), pages 883-886, September.
    2. J. Pfanzagl, 1969. "On the measurability and consistency of minimum contrast estimates," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 14(1), pages 249-272, December.
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    Cited by:

    1. Yuan Min & Pan Xiaoqing & Yang Yaning, 2015. "Bayes factors based on robust TDT-type tests for family trio design," Statistical Applications in Genetics and Molecular Biology, De Gruyter, vol. 14(3), pages 253-264, June.

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