chi-square distribution

chi-square distribution
a probability distribution used in inferential statistics

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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

  • chi-square distribution — noun Date: circa 1956 a probability density function that gives the distribution of the sum of the squares of a number of independent random variables each with a normal distribution with zero mean and unit variance, that has the property that… …   New Collegiate Dictionary

  • chi-square distribution — noun : a probability density function that gives the distribution of the sum of the squares of a number of independent random variables each having a normal distribution with zero mean and unit variance, that has the property that the sum of two… …   Useful english dictionary

  • 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

  • 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

  • Scale-inverse-chi-square distribution — Probability distribution name =Scale inverse chi square type =density pdf cdf parameters = u > 0, sigma^2 > 0, support =x in (0, infty) pdf =frac{(sigma^2 u/2)^{ u/2{Gamma( u/2)} frac{expleft [ frac{ u sigma^2}{2 x} ight] }{x^{1+ u/2 cdf… …   Wikipedia

  • Chi-square test — is often shorthand for Pearson s chi square test. A chi square test (also chi squared or chi^2 test) is any statistical hypothesis test in which the test statistic has a chi square distribution when the null hypothesis is true, or any in which… …   Wikipedia

  • chi-square test — noun any statistical hypothesis test in which the test statistic has a chi square distribution if the null hypothesis is true …   Wiktionary

  • 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

  • chi-square test — chi′ square (or chi′ squared ) test n. sta a test that uses the quantity chi square for testing the mathematical fit of a frequency curve to an observed frequency distribution • Etymology: 1935–40 …   From formal English to slang

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