SOLUTION: 1) In the completely randomized design of ANOVA where there are k treatments and n observations, what are the degrees of freedom for the F statistic? a. n − k and k − 1 b.

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Question 1207868: 1) In the completely randomized design of ANOVA where there are k treatments and n observations, what are the degrees of freedom for the F statistic?
a. n − k and k − 1
b. n and k
c. k − 1 and n − k
d. k and n
Answer by math_tutor2020(3817) About Me  (Show Source):
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Answer: option C

Explanation

Check out this resource
https://stats.libretexts.org/Bookshelves/Introductory_Statistics/Mostly_Harmless_Statistics_(Webb)/11%3A_Analysis_of_Variance/11.01%3A_One-Way_ANOVA
The ANOVA template has
dfBetween = k-1
dfWithin = N-k
The "between" version is always listed first since it's higher up in the table.
The order for the df values is important when dealing with the F statistic. Option A of the four choices is a trick answer.

Note: "between" is sometimes replaced with "factor"; "within" is sometimes replaced with "error".