IDEAS home Printed from https://ideas.repec.org/p/boc/nsug07/1.html
   My bibliography  Save this paper

Quantiles, L-moments and modes: bringing order to descriptive statistics

Author

Listed:
  • Nicholas Cox

    () (Durham University)

Abstract

Describing batches of data in terms of their order statistics or quantiles has long roots, but remains underrated in graphically-based exploration, data reduction and data reporting. Hosking in 1990 proposed L-moments based on quantiles as a unifying framework for summarizing distribution properties, but despite several advantages they still appear to be very little known outside their main application areas of hydrology and climatology. Similarly, the mode can be traced to the prehistory of statistics, but it is often neglected or disparaged despite its value as a simple descriptor and even as a robust estimator of location. This paper reviews and exemplifies these approaches with detailed reference to Stata implementations. Several graphical displays are discussed, some novel. Specific attention is given to the use of Mata for programming core calculations directly and rapidly.

Suggested Citation

  • Nicholas Cox, 2007. "Quantiles, L-moments and modes: bringing order to descriptive statistics," Nordic and Baltic Stata Users' Group Meetings 2007 1, Stata Users Group.
  • Handle: RePEc:boc:nsug07:1
    as

    Download full text from publisher

    File URL: http://repec.org/nasug2007/njctalknasug2007.zip
    Download Restriction: no

    Other versions of this item:

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:boc:nsug07:1. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Christopher F Baum). General contact details of provider: http://edirc.repec.org/data/stataea.html .

    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 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.

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.