IDEAS home Printed from https://ideas.repec.org/p/sek/iacpro/1003269.html
   My bibliography  Save this paper

Adjusted Wilcoxon signed rank test tables

Author

Listed:
  • LI-FEI HUANG

    (Ming Chuan University)

  • Jen-Jen Lin

    (Ming Chuan University)

Abstract

Ordinary Wilcoxon signed rank test table provides the confidence interval of median for a single population. Adjusted Wilcoxon signed rank test tables which can provide confidence intervals of median and the 10th percentile for a single population are created in this paper. Base-(n+1) number system and theorems about property of symmetry of the adjusted Wilcoxon signed rank test statistic are derived for programming. Theorem 1 states that the adjusted Wilcoxon signed rank test statistic are symmetric around n(n+1)/4. Theorem 2 states that the adjusted Wilcoxon signed rank test statistic with the same number of negative ranks k are symmetric around k(n+1)/2. 87.5% and 85% confidence intervals of the median are given in the table for n=12, 13,?, 30 to create approximated 95% confidence intervals of the ratio of medians for two independent populations. 95% and 92.5% confidence intervals of the 10th percentile are given in the table for n=26, 27,?, 30 to create approximated 95% confidence regions of the ratio of the 10th percentiles for two independent populations. Finally two large datasets from wood industry will be partitioned to verify the correctness of adjusted Wilcoxon signed rank test tables for small samples.

Suggested Citation

  • LI-FEI HUANG & Jen-Jen Lin, 2015. "Adjusted Wilcoxon signed rank test tables," Proceedings of International Academic Conferences 1003269, International Institute of Social and Economic Sciences.
    • Handle: RePEc:sek:iacpro:1003269
    as

    Download full text from publisher

    File URL: https://iises.net/proceedings/international-academic-conference-rome/table-of-content/detail?cid=10&iid=072&rid=3269
    File Function: First version, 2015
    Download Restriction: no
    ---><---

    More about this item

    Keywords

    Base-(n+1) number system; Programming; Property of symmetry; Adjusted Wilcoxon signed rank test table; Ratio of percentiles.;
    All these keywords.

    JEL classification:

    • C69 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Other

    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:sek:iacpro:1003269. 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: Klara Cermakova (email available below). General contact details of provider: https://iises.net/ .

    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.