IDEAS home Printed from https://ideas.repec.org/a/ibn/ijspjl/v9y2020i5p30.html
   My bibliography  Save this article

A New Transformed t-test for Skewed Data: A Goodness-of-fit Approach

Author

Listed:
  • Khairul Islam
  • Tanweer J. Shapla

Abstract

A new transformed two-sample t-test has been proposed for testing equality of two population means for skewed distributions by means of a univariate normal goodness of fit to the combined sample. The small sample performance of the proposed test is compared with untransformed t-test and the non-parametric analogue of t-test via Wilcoxon rank sum test using real-life examples and simulation from skewed distributions with varying values of skewness, empirically. It reveals that the proposed new test is appropriate for estimating the level of significance and is more powerful than the untransformed t-test and the Wilcoxon rank sum test for skewed distributions.

Suggested Citation

  • Khairul Islam & Tanweer J. Shapla, 2020. "A New Transformed t-test for Skewed Data: A Goodness-of-fit Approach," International Journal of Statistics and Probability, Canadian Center of Science and Education, vol. 9(5), pages 1-30, September.
    • Handle: RePEc:ibn:ijspjl:v:9:y:2020:i:5:p:30
    as

    Download full text from publisher

    File URL: http://www.ccsenet.org/journal/index.php/ijsp/article/download/0/0/43347/45743
    Download Restriction: no
    File URL: http://www.ccsenet.org/journal/index.php/ijsp/article/view/0/43347
    Download Restriction: no
    ---><---

    More about this item

    JEL classification:

    • R00 - Urban, Rural, Regional, Real Estate, and Transportation Economics - - General - - - General
    • Z0 - Other Special Topics - - General

    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:ibn:ijspjl:v:9:y:2020:i:5:p:30. 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: Canadian Center of Science and Education (email available below). General contact details of provider: https://edirc.repec.org/data/cepflch.html .

    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.