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12.4: The F Distribution and the F-Ratio
https://stats.libretexts.org/Courses/Fresno_City_College/Introduction_to_Business_Statistics_-_OER_-_Spring_2023/12%3A_F_Distribution_and_One-Way_ANOVA/12.04%3A_The_F_Distribution_and_the_F-Ratio
For example, if $F$ follows an $F$ distribution and the number of degrees of freedom for the numerator is four, and the number of degrees of freedom for the denominator is ten, then \(F \sim F_{4,...For example, if $F$ follows an $F$ distribution and the number of degrees of freedom for the numerator is four, and the number of degrees of freedom for the denominator is ten, then $F \sim F_{4,10}$ . As it turns out, $M S_{between}$ consists of the population variance plus a variance produced from the differences between the samples. $M S_{within}$ is an estimate of the population variance.
12.4: The F Distribution and the F-Ratio
https://stats.libretexts.org/Courses/Fresno_City_College/Book%3A_Business_Statistics_Customized_(OpenStax)/12%3A_F_Distribution_and_One-Way_ANOVA/12.04%3A_The_F_Distribution_and_the_F-Ratio
For example, if $F$ follows an $F$ distribution and the number of degrees of freedom for the numerator is four, and the number of degrees of freedom for the denominator is ten, then \(F \sim F_{4,...For example, if $F$ follows an $F$ distribution and the number of degrees of freedom for the numerator is four, and the number of degrees of freedom for the denominator is ten, then $F \sim F_{4,10}$ . As it turns out, $M S_{between}$ consists of the population variance plus a variance produced from the differences between the samples. $M S_{within}$ is an estimate of the population variance.

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