IDEAS home Printed from https://ideas.repec.org/a/eee/csdana/v53y2009i3p621-631.html
   My bibliography  Save this article

Asymptotic confidence interval construction for risk difference under inverse sampling

Author

Listed:
  • Tang, Man-Lai
  • Tian, Maozai

Abstract

Risk difference (RD) has played an important role in a lot of biological and epidemiological investigations to compare the risks of developing certain disease or tumor for two drugs or treatments. When the disease is rare and acute, inverse sampling (rather than binomial sampling) is usually recommended to collect the binary outcomes. In this paper, we derive an asymptotic confidence interval estimator for RD based on the score statistic. To compare its performance with three existing confidence interval estimators, we employ Monte Carlo simulation to evaluate their coverage probabilities, expected confidence interval widths, and the mean difference of the coverage probabilities from the nominal confidence level. Our simulation results suggest that the score-test-based confidence interval estimator is generally more appealing than the Wald, uniformly minimum variance unbiased estimator and likelihood ratio confidence interval estimators for it maintains the coverage probability close to the desired confidence level and yields the shortest expected width in most cases. We illustrate these confidence interval construction methods with real data sets from a drug comparison study and a congenital heart disease study.

Suggested Citation

  • Tang, Man-Lai & Tian, Maozai, 2009. "Asymptotic confidence interval construction for risk difference under inverse sampling," Computational Statistics & Data Analysis, Elsevier, vol. 53(3), pages 621-631, January.
    • Handle: RePEc:eee:csdana:v:53:y:2009:i:3:p:621-631
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0167-9473(08)00357-5
    Download Restriction: Full text for ScienceDirect subscribers only.
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Lui, Kung-Jong, 2000. "Asymptotic conditional test procedures for relative difference under inverse sampling," Computational Statistics & Data Analysis, Elsevier, vol. 34(3), pages 335-343, September.
    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. de Peretti, Christian & Siani, Carole, 2010. "Graphical methods for investigating the finite-sample properties of confidence regions," Computational Statistics & Data Analysis, Elsevier, vol. 54(2), pages 262-271, February.
    2. Zou, G.Y., 2010. "Confidence interval estimation under inverse sampling," Computational Statistics & Data Analysis, Elsevier, vol. 54(1), pages 55-64, January.
    3. Piero Quatto & Antonella Zambon, 2012. "The uniformly minimum variance unbiased estimator of odds ratio in case–control studies under inverse sampling," Statistical Papers, Springer, vol. 53(2), pages 305-309, May.
    4. Röhmel, Joachim, 2010. "Comparing two independent samples using the risk difference under inverse sampling," Computational Statistics & Data Analysis, Elsevier, vol. 54(4), pages 804-805, April.

    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. Zhu, Qiansheng & Lang, Joseph B., 2022. "Test-inversion confidence intervals for estimands in contingency tables subject to equality constraints," Computational Statistics & Data Analysis, Elsevier, vol. 169(C).
    2. Guo, Jianhua & Ma, Yanping & Shi, Ning-Zhong & Shing Lau, Tai, 2004. "Testing for homogeneity of relative differences under inverse sampling," Computational Statistics & Data Analysis, Elsevier, vol. 44(4), pages 613-624, January.

    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:eee:csdana:v:53:y:2009:i:3:p:621-631. 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: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/csda .

    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.