Question

You conduct a one-factor ANOVA with 6 groups and 5 subjects in each group (a balanced design) and obtain F=2.67F=2.67. Find the requested values.
dfbetween=  
dfwithin=

You intend to conduct an ANOVA with 5 groups in which each group will have the same number of subjects: n=25n=25. (This is referred to as a "balanced" single-factor ANOVA.)

What are the degrees of freedom for the numerator?
d.f.(treatment) =  

What are the degrees of freedom for the denominator?
d.f.(error) =

Answer 1

#Total there are n total data points collected

there are n−1 total degrees of freedom.

#there are m groups being compared, then there are m−1degrees of freedom for treatment

#If there are n total data points collected and m groups being compared, then there are n−m error degrees of freedom

#What are the degrees of freedom for the numerator?

Ans: df for treatment=m-1=(6-1)=5
d.f.(treatment) = 5

What are the degrees of freedom for the denominator?

Ans: degree of freedom for error is =(n-m)=(25-6)=19
d.f.(error) =19