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The F-ratio is a statistical ratio which arises as the ratio of two chi-square distributions.
If X and Y are two random variables which are independent and approximately normally distributed, then their variances have chi-squared distributions. The ration of these chi-square distributions, appropriately scaled, is called the F-ratio.
The F-ratio is used extensively in analysis of variance to determine what proportion of the variation in the dependent variable is explained by an explanatory variable (and the model being tested).
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