IDEAS home Printed from https://ideas.repec.org/a/eee/stapro/v81y2011i7p829-835.html
   My bibliography  Save this article

On the maximum total sample size of a group sequential test about bivariate binomial proportions

Author

Listed:
  • Yu, Jihnhee
  • Kepner, James L.

Abstract

For testing "univariate" binomial proportions, it has been proven that, under mild conditions, there exist group sequential designs which satisfy the pre-specified Type I error and power of the single-stage design while the sample size is bounded above by that of the single-stage design (Kepner and Chang, 2003). In this article, we extend this result and prove the existence of such group sequential designs for various decision rules in the space of bivariate binomial variables. We also demonstrate how to obtain the actual group sequential designs for detecting changes in bivariate binomial variables.

Suggested Citation

  • Yu, Jihnhee & Kepner, James L., 2011. "On the maximum total sample size of a group sequential test about bivariate binomial proportions," Statistics & Probability Letters, Elsevier, vol. 81(7), pages 829-835, July.
    • Handle: RePEc:eee:stapro:v:81:y:2011:i:7:p:829-835
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0167-7152(11)00062-9
    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. Kepner, James L. & Chang, Myron N., 2003. "On the maximum total sample size of a group sequential test about binomial proportions," Statistics & Probability Letters, Elsevier, vol. 62(1), pages 87-92, March.
    2. Biswas, Atanu & Hwang, Jing-Shiang, 2002. "A new bivariate binomial distribution," Statistics & Probability Letters, Elsevier, vol. 60(2), pages 231-240, November.
    Full references (including those not matched with items on IDEAS)

    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. Yu, Jihnhee & Kepner, James L. & Bundy, Brian N., 2007. "Exact power calculations for detecting hypotheses involving two correlated binary outcomes," Statistics & Probability Letters, Elsevier, vol. 77(3), pages 288-294, February.
    2. Ardo Hout & Graciela Muniz-Terrera, 2019. "Hidden three-state survival model for bivariate longitudinal count data," Lifetime Data Analysis: An International Journal Devoted to Statistical Methods and Applications for Time-to-Event Data, Springer, vol. 25(3), pages 529-545, July.
    3. Uttam Bandyopadhyay & Joydeep Basu & Ganesh Dutta, 2015. "Crossover design in clinical trials for binary response," Journal of Applied Statistics, Taylor & Francis Journals, vol. 42(10), pages 2100-2114, October.
    4. Jing-Shiang Hwang & Atanu Biswas, 2008. "Odds ratio for a single 2 × 2 table with correlated binomials for two margins," Statistical Methods & Applications, Springer;Società Italiana di Statistica, vol. 17(4), pages 483-497, October.
    5. Jing-Er Chiu & Tsen-I Kuo, 2010. "Control charts for fraction nonconforming in a bivariate binomial process," Journal of Applied Statistics, Taylor & Francis Journals, vol. 37(10), pages 1717-1728.
    6. Scotto, Manuel G. & Weiß, Christian H. & Silva, Maria Eduarda & Pereira, Isabel, 2014. "Bivariate binomial autoregressive models," Journal of Multivariate Analysis, Elsevier, vol. 125(C), pages 233-251.
    7. Pierre, Jean-Sébastien, 2023. "Ecological forecasting models: Accuracy versus decisional quality," Ecological Modelling, Elsevier, vol. 482(C).

    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:stapro:v:81:y:2011:i:7:p:829-835. 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/wps/find/journaldescription.cws_home/622892/description#description .

    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.