IDEAS home Printed from https://ideas.repec.org/a/spr/compst/v31y2016i4d10.1007_s00180-016-0654-6.html
   My bibliography  Save this article

Exact sample size determination for the ratio of two incidence rates under the Poisson distribution

Author

Listed:
  • Guogen Shan

    (University of Nevada Las Vegas)

Abstract

We present sample size determination using exact approaches for testing the ratio of incidence rates from a two-arm non-inferiority trial. The first approach is the exact conditional approach by treating the total number of events from two groups fixed, and the other is the exact unconditional approach based on maximization. Exact approaches guarantee the type I error rate which is often not satisfied in the commonly used asymptotic approaches on the basis of the corresponding limiting distributions of test statistics. We provide tables for sample size determination in commonly used cases in practice, and an example is used to show the application of these exact approaches. Sample size comparison using different exact approaches concludes that the exact unconditional approach based on the Wald-type test statistic has good performance in balanced studies.

Suggested Citation

  • Guogen Shan, 2016. "Exact sample size determination for the ratio of two incidence rates under the Poisson distribution," Computational Statistics, Springer, vol. 31(4), pages 1633-1644, December.
  • Handle: RePEc:spr:compst:v:31:y:2016:i:4:d:10.1007_s00180-016-0654-6
    DOI: 10.1007/s00180-016-0654-6
    as

    Download full text from publisher

    File URL: http://link.springer.com/10.1007/s00180-016-0654-6
    File Function: Abstract
    Download Restriction: Access to the full text of the articles in this series is restricted.

    File URL: https://libkey.io/10.1007/s00180-016-0654-6?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    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. Weizhen Wang & Guogen Shan, 2015. "Exact confidence intervals for the relative risk and the odds ratio," Biometrics, The International Biometric Society, vol. 71(4), pages 985-995, December.
    2. Hui-Qiong Li & Man-Lai Tang & Weng-Kee Wong, 2014. "Confidence intervals for ratio of two Poisson rates using the method of variance estimates recovery," Computational Statistics, Springer, vol. 29(3), pages 869-889, June.
    3. Liu, MingTe & Hsueh, Huey-Miin, 2013. "Exact tests of the superiority under the Poisson distribution," Statistics & Probability Letters, Elsevier, vol. 83(5), pages 1339-1345.
    4. Chiu, Sung Nok & Wang, Ling, 2009. "Homogeneity tests for several Poisson populations," Computational Statistics & Data Analysis, Elsevier, vol. 53(12), pages 4266-4278, October.
    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. Shan, Guogen, 2014. "Exact approaches for testing non-inferiority or superiority of two incidence rates," Statistics & Probability Letters, Elsevier, vol. 85(C), pages 129-134.
    2. Natalie DelRocco & Yipeng Wang & Dongyuan Wu & Yuting Yang & Guogen Shan, 2023. "New Confidence Intervals for Relative Risk of Two Correlated Proportions," Statistics in Biosciences, Springer;International Chinese Statistical Association, vol. 15(1), pages 1-30, April.
    3. Schaarschmidt, Frank & Gerhard, Daniel & Vogel, Charlotte, 2017. "Simultaneous confidence intervals for comparisons of several multinomial samples," Computational Statistics & Data Analysis, Elsevier, vol. 106(C), pages 65-76.
    4. Sören Möller & Linda Juel Ahrenfeldt, 2021. "Estimating Relative Risk When Observing Zero Events—Frequentist Inference and Bayesian Credibility Intervals," IJERPH, MDPI, vol. 18(11), pages 1-9, May.
    5. Sung Nok Chiu & Kwong Ip Liu, 2013. "Stationarity Tests for Spatial Point Processes using Discrepancies," Biometrics, The International Biometric Society, vol. 69(2), pages 497-507, June.
    6. Malekzadeh, Ahad & Esmaeli-Ayan, Asghar, 2021. "An exact method for testing equality of several groups in panel data models," Statistics & Probability Letters, Elsevier, vol. 177(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:spr:compst:v:31:y:2016:i:4:d:10.1007_s00180-016-0654-6. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.