chi-square random variable

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• Chi-square distribution — Probability distribution name =chi square type =density pdf cdf parameters =k > 0, degrees of freedom support =x in [0; +infty), pdf =frac{(1/2)^{k/2{Gamma(k/2)} x^{k/2 1} e^{ x/2}, cdf =frac{gamma(k/2,x/2)}{Gamma(k/2)}, mean =k, median… …   Wikipedia

• Noncentral chi-square distribution — Probability distribution name =Noncentral chi square type =density pdf cdf parameters =k > 0, degrees of freedom lambda > 0, non centrality parameter support =x in [0; +infty), pdf =frac{1}{2}e^{ (x+lambda)/2}left (frac{x}{lambda} ight)^{k/4 1/2} …   Wikipedia

• Pearson's chi-square test — Pearson s chi square ( chi;2) test is the best known of several chi square tests – statistical procedures whose results are evaluated by reference to the chi square distribution. Its properties were first investigated by Karl Pearson. In contexts …   Wikipedia

• Inverse-chi-square distribution — Probability distribution name =Inverse chi square type =density pdf cdf parameters = u > 0! support =x in (0, infty)! pdf =frac{2^{ u/2{Gamma( u/2)},x^{ u/2 1} e^{ 1/(2 x)}! cdf =Gamma!left(frac{ u}{2},frac{1}{2x} ight)igg/, Gamma!left(frac{… …   Wikipedia

• Hotelling's T-square distribution — In statistics, Hotelling s T square statistic, [ H. Hotelling (1931) The generalization of Student s ratio , Ann. Math. Statist., Vol. 2, pp 360 ndash;378.] named for Harold Hotelling,is a generalization of Student s t statistic that is used in… …   Wikipedia

• Chi-squared test — Chi square test is often shorthand for Pearson s chi square test. A chi square test, also referred to as chi squared test or χ2 test, is any statistical hypothesis test in which the sampling distribution of the test statistic is a chi square… …   Wikipedia

• Chi-squared distribution — This article is about the mathematics of the chi squared distribution. For its uses in statistics, see chi squared test. For the music group, see Chi2 (band). Probability density function Cumulative distribution function …   Wikipedia

• Noncentral chi-squared distribution — Noncentral chi squared Probability density function Cumulative distribution function parameters …   Wikipedia

• Quadratic form (statistics) — If epsilon is a vector of n random variables, and Lambda is an n dimensional symmetric square matrix, then the scalar quantity epsilon Lambdaepsilon is known as a quadratic form in epsilon. ExpectationIt can be shown that:operatorname{E}left… …   Wikipedia

• Graeco-Latin square — Orthogonal Latin squares of order 3 Orthogonal Latin squares of order 5 In mathematics, a Graeco Latin square or Euler square or orthogonal Latin squares of order n over two …   Wikipedia

• Ratio distribution — A ratio distribution (or quotient distribution ) is a statistical distribution constructed as the distribution of the ratio of random variables having two other distributions.Given two stochastic variables X and Y , the distribution of the… …   Wikipedia