IDEAS home Printed from https://ideas.repec.org/a/bla/scjsta/v41y2014i3p762-774.html

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

Author

Listed:
  • 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
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1111/sjos.12060
    Download Restriction: Access to full text is restricted to subscribers.
    ---><---

    As the access to this document is restricted, you may want to

    for a different version of it.

    References listed on IDEAS

    as
    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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    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.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Nicoletta D’Angelo & Marianna Siino & Antonino D’Alessandro & Giada Adelfio, 2022. "Local spatial log-Gaussian Cox processes for seismic data," AStA Advances in Statistical Analysis, Springer;German Statistical Society, vol. 106(4), pages 633-671, December.
    2. Jungnam Joo & Minjung Kwak & Gang Zheng, 2010. "Improving Power for Testing Genetic Association in Case–Control Studies by Reducing the Alternative Space," Biometrics, The International Biometric Society, vol. 66(1), pages 266-276, March.
    3. Gang Zheng, 2008. "Analysis of Ordered Categorical Data: Two Score-Independent Approaches," Biometrics, The International Biometric Society, vol. 64(4), pages 1276-1279, December.
    4. Ao Yuan & Jan G. De Gooijer, 2007. "Semiparametric Regression with Kernel Error Model," Scandinavian Journal of Statistics, Danish Society for Theoretical Statistics;Finnish Statistical Society;Norwegian Statistical Association;Swedish Statistical Association, vol. 34(4), pages 841-869, December.
    5. Werge, Nicklas & Wintenberger, Olivier, 2022. "AdaVol: An Adaptive Recursive Volatility Prediction Method," Econometrics and Statistics, Elsevier, vol. 23(C), pages 19-35.
    6. Ao Yuan, 2009. "Semiparametric inference with kernel likelihood," Journal of Nonparametric Statistics, Taylor & Francis Journals, vol. 21(2), pages 207-228.
    7. Francisco Blasques & Paolo Gorgi & Siem Jan Koopman & Olivier Wintenberger, 2016. "Feasible Invertibility Conditions and Maximum Likelihood Estimation for Observation-Driven Models," Tinbergen Institute Discussion Papers 16-082/III, Tinbergen Institute.
    8. Thas, Olivier & Yuan, Ao & Ng, Hon Keung Tony & Zheng, Gang, 2015. "A proportional score test over the nuisance parameter space: Properties and applications," Statistics & Probability Letters, Elsevier, vol. 106(C), pages 295-300.
    9. R. Michel, 1973. "The bound in the Berry-Esseen result for minimum contrast estimates," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 20(1), pages 148-155, December.
    10. D'Angelo, Nicoletta & Adelfio, Giada & Mateu, Jorge, 2023. "Locally weighted minimum contrast estimation for spatio-temporal log-Gaussian Cox processes," Computational Statistics & Data Analysis, Elsevier, vol. 180(C).
    11. István Berkes & Lajos Horváth & Shiqing Ling, 2009. "Estimation in nonstationary random coefficient autoregressive models," Journal of Time Series Analysis, Wiley Blackwell, vol. 30(4), pages 395-416, July.
    12. Meitz, Mika & Saikkonen, Pentti, 2011. "Parameter Estimation In Nonlinear Ar–Garch Models," Econometric Theory, Cambridge University Press, vol. 27(6), pages 1236-1278, December.
    13. Nicklas Werge & Olivier Wintenberger, 2020. "AdaVol: An Adaptive Recursive Volatility Prediction Method," Papers 2006.02077, arXiv.org, revised Jan 2021.
    14. Vajda, Igor, 1995. "Conditions equivalent to consistency of approximate MLE's for stochastic processes," Stochastic Processes and their Applications, Elsevier, vol. 56(1), pages 35-56, March.
    15. Shiqing Ling & Michael McAleer, 2010. "A general asymptotic theory for time‐series models," Statistica Neerlandica, Netherlands Society for Statistics and Operations Research, vol. 64(1), pages 97-111, February.
    16. Minjung Kwak & Jungnam Joo & Gang Zheng, 2009. "A Robust Test for Two-Stage Design in Genome-Wide Association Studies," Biometrics, The International Biometric Society, vol. 65(4), pages 1288-1295, December.
    17. Yan Sun & Dan Ralescu, 2015. "A normal hierarchical model and minimum contrast estimation for random intervals," Annals of the Institute of Statistical Mathematics, Springer;The Institute of Statistical Mathematics, vol. 67(2), pages 313-333, April.
    18. P. Gänssler, 1972. "Note on minimum contrast estimates for Markov processes," Metrika: International Journal for Theoretical and Applied Statistics, Springer, vol. 19(1), pages 115-130, December.
    19. F Blasques & P Gorgi & S Koopman & O Wintenberger, 2016. "Feasible Invertibility Conditions for Maximum Likelihood Estimation for Observation-Driven Models," Papers 1610.02863, arXiv.org.
    20. Francisco Blasques & Paolo Gorgi & Siem Jan Koopman & Olivier Wintenberger, 2015. "A Note on “Continuous Invertibility and Stable QML Estimation of the EGARCH(1,1) Model”," Tinbergen Institute Discussion Papers 15-131/III, Tinbergen Institute.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:bla:scjsta:v:41:y:2014:i:3:p:762-774. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Wiley Content Delivery (email available below). General contact details of provider: http://www.blackwellpublishing.com/journal.asp?ref=0303-6898 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.