A portion of an ANOVA summary table is shown
below.
$\begin{array} { c c c } \text { Source } & \text { Sum of Squares } & \text { Degrees of Freedom } \ \text { Between } & 22 & 2 \ \text { Within (error) } & 39 & 27 \ \text { Total } & 61 & \end{array}$
The critical value for this problem should have $\mathrm { dfN }$ (degrees of freedom in the numerator) ________ and dfD (degrees of freedom in the denominator) of _________
A) $\mathrm { dfN } = 2 , \mathrm { dfD } = 27$
B) $\mathrm { dfN } = 27 , \mathrm { dfD } = 2$
C) $\mathrm { dfN } = 22 , \mathrm { dfD } = 39$
D) $\mathrm { dfN } = 39 , \mathrm { dfD } = 22$

Question

Quizplus · Accepted Answer

The numerator degrees of freedom is equal to the number of groups minus 1, which in this case is 2-1 = 1. The denominator degrees of freedom is equal to the total sample size minus the number of groups, which in this case is 29-2 = 27. Therefore, the critical value should have dfN = 1 and dfD = 27. Choice A is the only one that has the correct dfN and dfD values.

A Portion of an ANOVA Summary Table Is Shown Below

A Portion of an ANOVA Summary Table Is Shown
Below