chi-square distribution

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English[edit]

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Noun[edit]

chi-square distribution (plural chi-square distributions)

  1. (statistics) A probability distribution widely used in inferential statistics.
    • 1992, Harold R. Lindman, Analysis of Variance in Experimental Design, Springer, Softcover Reprint, page 7,
      The chi-square distribution with degrees of freedom is defined to be the distribution of the sum of independent squared random variables, each having the standard normal distribution.
    • 2003, Chin Long Chiang, Statistical Methods of Analysis, World Scientific Publishing, page 204,
      The family of chi-square distributions, like the "Student's" t distributions, has an infinite number of members, one for each number of degrees of freedom.
    • 2012, Anthony J. Hayter, Probability and Statistics for Engineers and Scientists, 4th Edition, Cengage Learning, page 254,
      The degrees of freedom of a chi-square distribution are usually denoted by the Greek letter and can take any positive integer value.

Usage notes[edit]

The synonym central chi-square distribution is sometimes used in distinction with the more general noncentral chi-square distribution.

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