For the following data,what are the df values for the repeated-measures F-ratio? $$\begin{array} { l c c l c l }
{ \text { Treatments } } \
\text { Subject } & \text { I } & \text { II } & \text { III } & \text { P-totals } & \
\hline \text { A } & 3 & 4 & 5 & 12 & G = 27 \
\text { B } & 1 & 1 & 4 & 6 & \Sigma X ^ { 2 } = 109 \
\text { C } & 2 & 1 & 6 & 9 & \
& T = 6 & T = 6 & T = 15 & & \
& S S = 2 & S S = 6 & S S = 2 & &
\end{array}$$
A)2, 4
B)2, 6
C)3, 4
D)3, 6

Question

For the following data,what are the df values for the repeated-measures F-ratio? $$\begin{array} { l c c l c l } 
 { \text { Treatments } } \
\text { Subject } & \text { I } & \text { II } & \text { III } & \text { P-totals } & \
\hline \text { A } & 3 & 4 & 5 & 12 & G = 27 \
\text { B } & 1 & 1 & 4 & 6 & \Sigma X ^ { 2 } = 109 \
\text { C } & 2 & 1 & 6 & 9 & \
& T = 6 & T = 6 & T = 15 & & \
& S S = 2 & S S = 6 & S S = 2 & &
\end{array}$$
A)2, 4
B)2, 6
C)3, 4
D)3, 6

Quizplus · Accepted Answer

The degrees of freedom for the repeated-measures F-ratio are calculated as follows: For treatments (between groups), df = k - 1, where k is the number of treatment levels. Here, k = 3 (I, II, III), so df for treatments is 3 - 1 = 2. For subjects (within groups), df = N - k, where N is the total number of subjects and k is the number of treatment levels. Here, N = 3 (A, B, C) and k = 3, so df for subjects is 3 - 3 = 0, but for the error term, it's (k-1)*(N-1) = 2*(3-1) = 4. Therefore, the correct df values are 2 for treatments and 4 for error, making the correct choice A) 2, 4.

For the Following Data,what Are the Df Values for the Repeated-Measures