IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-1-4615-4777-8_8.html
   My bibliography  Save this book chapter

The distribution of χ 2 (chi squared)

In: Introduction to Biometry

Author

Listed:
  • Pierre Jolicoeur

    (University of Montreal, Department of Biological Science)

Abstract

The distribution of χ 2 (chi squared) is a continuous and asymmetrical distribution which ranges from 0 to + ∞ and is followed by a sum of squares of independent standardized normal variates. The χ 2 distribution and its application to frequency tables (chapter 15) were discovered by the British biometrician Karl Pearson (1857–1936), who was considered as the “father of biometry” and was one of the founders of the periodical Biometrika. The χ 2 distribution is exact when hypotheses must be tested or confidence intervals must be determined (chapter 10) concerning the parametric variance σ 2 of a continuous variate X which follows a normal distribution (chapter 5). Moreover, the χ 2 distribution may be used as an approximation in many cases, including Bartlett’s test of the homogeneity of variance (section 12.7), tests of hypotheses concerning frequency tables (chapter 15), tests of goodness of fit (chapters 16, 17 and 18), the binomiality (chapter 17) and Poissonianity (chapter 18) tests, etc.. Paradoxically, the approximate utilizations of the χ 2 distribution are perhaps better known than the exact ones.

Suggested Citation

  • Pierre Jolicoeur, 1999. "The distribution of χ 2 (chi squared)," Springer Books, in: Introduction to Biometry, chapter 0, pages 38-39, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4615-4777-8_8
    DOI: 10.1007/978-1-4615-4777-8_8
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    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:spr:sprchp:978-1-4615-4777-8_8. 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: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    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.