The following table shows the results of a repeated-measures analysis of variance comparing three treatment conditions with a sample of n = 10 participants.Note that several values are missing in the table.What is the missing value for the F-ratio?? $$\begin{array} { l c l l l }
\text { Source } & \text { SS } & \text { df } & \text { MS } \
\hline \text { Between } & 28 & \mathrm { xx } & \mathrm { xx } & F = \mathrm { xx } \
\text { Within } & \mathrm { xx } & \mathrm { xx } & & \
\quad \text { Bet. Sub. } & 16 & \mathrm { xx } & \
\quad \text { Error } & \mathrm { xx } & \mathrm { xx } & \mathrm { xx }
\end{array}$$
A)?4
B)?7
C)?10
D)?14

Question

The following table shows the results of a repeated-measures analysis of variance comparing three treatment conditions with a sample of n = 10 participants.Note that several values are missing in the table.What is the missing value for the F-ratio?? $$\begin{array} { l c l l l } 
\text { Source } & \text { SS } & \text { df } & \text { MS } \
\hline \text { Between } & 28 & \mathrm { xx } & \mathrm { xx } & F = \mathrm { xx } \
\text { Within } & \mathrm { xx } & \mathrm { xx } & & \
\quad \text { Bet. Sub. } & 16 & \mathrm { xx } & \
\quad \text { Error } & \mathrm { xx } & \mathrm { xx } & \mathrm { xx }
\end{array}$$
A)?4
B)?7
C)?10
D)?14

Quizplus · Accepted Answer

The df between is 2 (for 3 treatments - 1), and the df within is (n-3) = 7. To find the missing MS between, we divide SS between by df between: 28/2 = 14. To find the missing SS within, we subtract SS between from the total SS of 72: 72 - 28 = 44. To find the MS error, we divide SS error by df error: MS error = 44/7 = 6.29. Finally, we can find the F-ratio by dividing MS between by MS error: F = 14/6.29 = 2.22. Therefore, the missing value for the F-ratio is 2.22, which corresponds to choice letter B.

The Following Table Shows the Results of a Repeated-Measures Analysis