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Does anyone know where I could find a formal proof that

[tex]\frac{\text{MS between}}{\text{MS within}}[/tex]

has a F distribution under the null in ANOVA?

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- Thread starter Boot20
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- #1

- 10

- 0

Does anyone know where I could find a formal proof that

[tex]\frac{\text{MS between}}{\text{MS within}}[/tex]

has a F distribution under the null in ANOVA?

- #2

EnumaElish

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- #3

statdad

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(MS between)/(MS within)

is a ratio of independent chi-squares over their degrees of freedom which, by definition, gives an F distribution.

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