IDEAS home Printed from https://ideas.repec.org/a/taf/lstaxx/v50y2021i7p1640-1655.html
   My bibliography  Save this article

New advanced outliers detection tests

Author

Listed:
  • Alamgir Khalil
  • Salahuddin
  • Wali Khan Mashwani
  • Muhammad Shafiq
  • Saima Hassan
  • Wiyada Kumam

Abstract

Outliers have been of constant concern for statistician. These outliers must be handled carefully while analyzing data, particularly, when the data points are measurements based on experiments conducted in scientific labs. Various studies have been conducted on the comparison of outliers detection tests when the data points were assumed to follow normal distribution or skewed exponential or gamma distribution. However, the data may follow some heavy tailed symmetric distribution. One important heavy tailed distribution is Cauchy distribution which has applications in different fields of science including Physics, engineering etc. In the present study, we introduce two tests, in univariate case, for detecting one or more outliers while sampling is done from Cauchy distribution. The proposed tests make use of the robust statistics, namely, median, quartile deviation and the variance based on “sample free of suspected outlier(s)”. We simulate critical values and powers of the tests to compare them with the tests available in the literature. We compare their efficiency using power criteria.

Suggested Citation

  • Alamgir Khalil & Salahuddin & Wali Khan Mashwani & Muhammad Shafiq & Saima Hassan & Wiyada Kumam, 2021. "New advanced outliers detection tests," Communications in Statistics - Theory and Methods, Taylor & Francis Journals, vol. 50(7), pages 1640-1655, April.
    • Handle: RePEc:taf:lstaxx:v:50:y:2021:i:7:p:1640-1655
    DOI: 10.1080/03610926.2020.1741630
    as

    Download full text from publisher

    File URL: http://hdl.handle.net/10.1080/03610926.2020.1741630
    Download Restriction: Access to full text is restricted to subscribers.
    File URL: https://libkey.io/10.1080/03610926.2020.1741630?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.

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Anderson, Michael & Drummond, Michael & Taylor, David & McGuire, Alistair & Carter, Paul & Mossialos, Elias, 2022. "Promoting innovation while controlling cost: The UK's approach to health technology assessment," Health Policy, Elsevier, vol. 126(3), pages 224-233.
    2. Yugong Dang & Hongen Ma & Jun Wang & Zhigang Zhou & Zhidong Xu, 2022. "An Improved Multi-Objective Optimization Decision Method Using NSGA-III for a Bivariate Precision Fertilizer Applicator," Agriculture, MDPI, vol. 12(9), pages 1-23, September.
    3. Barajas, Jesus M. PhD & Natekal, Asiya PhD & Abrams, Carolyn MURP, 2022. "An Assessment of how State and Regional Transportation Agencies Advance Equity in Transportation Plans, Processes, and Implementation," Institute of Transportation Studies, Working Paper Series qt7q36991f, Institute of Transportation Studies, UC Davis.

    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:taf:lstaxx:v:50:y:2021:i:7:p:1640-1655. 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: Chris Longhurst (email available below). General contact details of provider: http://www.tandfonline.com/lsta .

    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.