F distribution

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F distribution

n
(Statistics) statistics a continuous distribution obtained from the ratio of two chi-square distributions and used esp to test the equality of the variances of two normally distributed variances
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Under the null hypothesis, ((ri - p -1- m)/mn)Q follows the F-distribution with (m, ri - p - 1-m) DFs (see, e.g., [25, p.
Therefore, the proposed MLM-based Wald test can be treated as a natural and flexible generalization of the CCA: (I) it can accommodate any covariates; (II) it is based on the more powerful Wald test instead of the Score test for an association test of quantitative traits; (III) it has an exact F-distribution for the multivariate normally distributed traits and hence has very accurate control of type I errors for any sample sizes without the need of asymptotic approximation; and (IV) it is very fast to compute (see next section for details) and extremely scalable to genome-wide association tests of millions of SNPs.
The resulting F-statistic is compared to the distribution of scores on the F-distribution and that shows, for those degrees of freedom, whether the result is statistically significant.
has an F-distribution with [v.sub.1] (numerator) and [v.sub.2] (denominator) degrees of freedom.
* Cultivating the Financial Institution F-Distribution Market
F-Value: The F-distribution is a probability distribution used to compare variances by examining their ratio.
Thus, the support of the F-distribution is the interval from 0 to |Mathematical Expression Omitted~, and the cumulative distribution satisfies the formula |Mathematical Expression Omitted~.
If this hypothesis is true, then the relevant test statistic has F-distribution with degrees of freedom 3 and 54, respectively.