chi-square distribution

English

Alternative forms

• chi-squared distribution
• χ² distribution

Noun

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 $\nu$ degrees of freedom is defined to be the distribution of the sum of $\nu$ 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 $\nu$ and can take any positive integer value.

Usage notes

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

Synonyms

• (probability distribution): central chi-square distribution

Related terms

• chi-square test

Translations

probability distribution

• Chinese:

  Mandarin: 卡方分佈／卡方分布 (kǎfāng fēnbù)

• Czech: chí-kvadrát rozdělení n
• Finnish: khii toiseen -jakauma
• Georgian: ხი-კვადრატ განაწილება (xi-ḳvadraṭ ganac̣ileba)
• Icelandic: kí-kvaðratsdreifing f, kí-í-öðru dreifing f, kí-í-öðru-dreifing f, χ²-dreifing f
• Macedonian: please add this translation if you can
• Portuguese: distribuição qui-quadrado f
• Russian: распределе́ние хи-квадра́т n (raspredelénije xi-kvadrát)
• Swedish: chitvåfördelning c
• Tamil: please add this translation if you can
• Turkish: ki kare dağılımı, ki-kare dağılımı

See also

• chi distribution