Mathematics · Statistics and ANOVA

In a completely randomized design with k treatments and N total observations, which of the following statements regarding the degrees of freedom (df) is INCORRECT?

Verified Solution4 OptionsUpdated: October 2026👁️1 View

1The degrees of freedom of variation between groups is k - 1
2The degrees of freedom for the F-ratio of treatment mean sum of squares to residual mean sum of squares are N - 1 and k - 1✓
3The degrees of freedom of total variation is N - 1
4The degrees of freedom of variation within groups is N - k

Correct answer

The degrees of freedom for the F-ratio of treatment mean sum of squares to residual mean sum of squares are N - 1 and k - 1

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