chi-square distribution

plural chi-square distributions · alternative chi-squared distribution · alternative χ² distribution

1. mathematicsA 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 ν degrees of freedom is defined to be the distribution of the sum of ν independent squared random variables, each having the standard normal distribution.

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   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.

   2003, Chin Long Chiang, Statistical Methods of Analysis, World Scientific Publishing, page 204

   The degrees of freedom of a chi-square distribution are usually denoted by the Greek letter #92;nu and can take any positive integer value.

   2012, Anthony J. Hayter, Probability and Statistics for Engineers and Scientists, 4th edition, Cengage Learning, page 254

   Synonyms: central chi-square distribution