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−1**degrees 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

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