IDEAS home Printed from https://ideas.repec.org/a/hin/jnljps/139856.html
   My bibliography  Save this article

A Note on Confidence Interval for the Power of the One Sample ð ‘¡ Test

Author

Listed:
  • A. Wong

Abstract

In introductory statistics texts, the power of the test of a one-sample mean when the variance is known is widely discussed. However, when the variance is unknown, the power of the Student's 𠑡 -test is seldom mentioned. In this note, a general methodology for obtaining inference concerning a scalar parameter of interest of any exponential family model is proposed. The method is then applied to the one-sample mean problem with unknown variance to obtain a ( 1 − 𠛾 ) 100% confidence interval for the power of the Student's 𠑡 -test that detects the difference ( 𠜇 − 𠜇 0 ) . The calculations require only the density and the cumulative distribution functions of the standard normal distribution. In addition, the methodology presented can also be applied to determine the required sample size when the effect size and the power of a size 𠛼 test of mean are given.

Suggested Citation

  • A. Wong, 2010. "A Note on Confidence Interval for the Power of the One Sample ð ‘¡ Test," Journal of Probability and Statistics, Hindawi, vol. 2010, pages 1-9, September.
    • Handle: RePEc:hin:jnljps:139856
    DOI: 10.1155/2010/139856
    as

    Download full text from publisher

    File URL: http://downloads.hindawi.com/journals/JPS/2010/139856.pdf
    Download Restriction: no
    File URL: http://downloads.hindawi.com/journals/JPS/2010/139856.xml
    Download Restriction: no
    File URL: https://libkey.io/10.1155/2010/139856?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
    ---><---

    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:hin:jnljps:139856. 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.

    We have no bibliographic references for this item. You can help adding them by using 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: Mohamed Abdelhakeem (email available below). General contact details of provider: https://www.hindawi.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.