IDEAS home Printed from https://ideas.repec.org/a/ibn/ijspjl/v13y2025i3p25.html
   My bibliography  Save this article

Approximation of Sample Mean and Standard Deviation from Percentiles and Application to Reference Model for Sprint Time of Elite Soccer Players

Author

Listed:
  • Kyra Batarse
  • Jessica Naranj
  • Jakob Garcia
  • Steven Kim

Abstract

The original goal of this project was to conduct meta-analysis and develop a reference model for 20-meter sprint time of elite soccer players with respect to age group. According to the likelihood function, we found that age-specific sample means and standard deviations are sufficient statistics. However, instead of the two sufficient statistics, the sample 10-th percentile, 90th-percentile, and quartiles were given to us. To deal with this unexpected challenge, we studied and compared methods of approximating the sample mean and standard deviation given various combinations of percentiles. Simulation studies showed that the likelihood method presented in this paper is superior when the sample 10-th percentile, 90-th percentile, and quartiles are given, and we applied the likelihood method to the meta-analysis and developed the reference model for 20-meter sprint time.

Suggested Citation

  • Kyra Batarse & Jessica Naranj & Jakob Garcia & Steven Kim, 2025. "Approximation of Sample Mean and Standard Deviation from Percentiles and Application to Reference Model for Sprint Time of Elite Soccer Players," International Journal of Statistics and Probability, Canadian Center of Science and Education, vol. 13(3), pages 1-25, January.
    • Handle: RePEc:ibn:ijspjl:v:13:y:2025:i:3:p:25
    as

    Download full text from publisher

    File URL: https://ccsenet.org/journal/index.php/ijsp/article/download/0/0/50593/54810
    Download Restriction: no
    File URL: https://ccsenet.org/journal/index.php/ijsp/article/view/0/50593
    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:13:y:2025:i:3:p:25. 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.