Title: F-Distribution -- from Wolfram MathWorld
Open Graph Title: F-Distribution -- from Wolfram MathWorld
X Title: F-Distribution -- from Wolfram MathWorld
Description: A continuous statistical distribution which arises in the testing of whether two observed samples have the same variance. Let chi_m^2 and chi_n^2 be independent variates distributed as chi-squared with m and n degrees of freedom. Define a statistic F_(n,m) as the ratio of the dispersions of the two distributions F_(n,m)=(chi_n^2/n)/(chi_m^2/m). (1) This statistic then has an F-distribution on domain [0,infty) with probability function f_(n,m)(x) and cumulative distribution function...
Open Graph Description: A continuous statistical distribution which arises in the testing of whether two observed samples have the same variance. Let chi_m^2 and chi_n^2 be independent variates distributed as chi-squared with m and n degrees of freedom. Define a statistic F_(n,m) as the ratio of the dispersions of the two distributions F_(n,m)=(chi_n^2/n)/(chi_m^2/m). (1) This statistic then has an F-distribution on domain [0,infty) with probability function f_(n,m)(x) and cumulative distribution function...
X Description: A continuous statistical distribution which arises in the testing of whether two observed samples have the same variance. Let chi_m^2 and chi_n^2 be independent variates distributed as chi-squared with m and n degrees of freedom. Define a statistic F_(n,m) as the ratio of the dispersions of the two distributions F_(n,m)=(chi_n^2/n)/(chi_m^2/m). (1) This statistic then has an F-distribution on domain [0,infty) with probability function f_(n,m)(x) and cumulative distribution function...
Opengraph URL: https://mathworld.wolfram.com/F-Distribution.html
Domain: mathworld.wolfram.com
| DC.Title | F-Distribution |
| DC.Creator | Weisstein, Eric W. |
| DC.Description | A continuous statistical distribution which arises in the testing of whether two observed samples have the same variance. Let chi_m^2 and chi_n^2 be independent variates distributed as chi-squared with m and n degrees of freedom. Define a statistic F_(n,m) as the ratio of the dispersions of the two distributions F_(n,m)=(chi_n^2/n)/(chi_m^2/m). (1) This statistic then has an F-distribution on domain [0,infty) with probability function f_(n,m)(x) and cumulative distribution function... |
| DC.Date.Modified | 2003-12-22 |
| DC.Subject | 62E |
| DC.Rights | Copyright 1999-2026 Wolfram Research, Inc. See https://mathworld.wolfram.com/about/terms.html for a full terms of use statement. |
| DC.Format | text/html |
| DC.Identifier | https://mathworld.wolfram.com/F-Distribution.html |
| DC.Language | en |
| DC.Publisher | Wolfram Research, Inc. |
| DC.Relation.IsPartOf | https://mathworld.wolfram.com/ |
| DC.Type | Text |
| Last-Modified | 2003-12-22 |
| og:image | https://mathworld.wolfram.com/images/socialmedia/share/ogimage_F-Distribution.png |
| og:type | website |
| twitter:card | summary_large_image |
| twitter:image:src | https://mathworld.wolfram.com/images/socialmedia/share/ogimage_F-Distribution.png |
| None | ie=edge |
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