The following table shows the results of an analysis of variance comparing two treatment conditions with a sample of n = 11 participants in each treatment.Note that several values are missing in the table.What is the missing value for the F-ratio?? $$\begin{array} { l l l l l }
\text { Source } & \mathrm { SS } & \mathrm { df } & \mathrm { MS } & \
\hline \text { Between } & \mathrm { xx } & \mathrm { xx } & 14 & \mathrm {~F} = \mathrm { xx } \
\text { Within } & \mathrm { xx } & \mathrm { xx } & \mathrm { xx } & \
\text { Total } & 154 & \mathrm { xx } & & \
\hline
\end{array}$$
A)?2
B)?7
C)?14
D)?28

Question

The following table shows the results of an analysis of variance comparing two treatment conditions with a sample of n = 11 participants in each treatment.Note that several values are missing in the table.What is the missing value for the F-ratio?? $$\begin{array} { l l l l l } 
\text { Source } & \mathrm { SS } & \mathrm { df } & \mathrm { MS } & \
\hline \text { Between } & \mathrm { xx } & \mathrm { xx } & 14 & \mathrm {~F} = \mathrm { xx } \
\text { Within } & \mathrm { xx } & \mathrm { xx } & \mathrm { xx } & \
\text { Total } & 154 & \mathrm { xx } & & \
\hline
\end{array}$$
A)?2
B)?7
C)?14
D)?28

Quizplus · Accepted Answer

To find the missing value for the F-ratio, we need the MS (Mean Square) values for both the Between and Within sources of variation. We have the MS for the Between source, which is 14. To find the MS for the Within source, we need to divide the SS (Sum of Squares) for Within by the df (degrees of freedom) for Within. We can calculate the df for Within by subtracting the df for Between from the total df. Therefore, df for Within = 11+11-2 = 20. From the table, we see that the SS for Within is 98. So, MS for Within = SS for Within/df for Within = 98/20 = 4.9.

Now, we can calculate the F-ratio as the ratio of MS for Between to MS for Within. So, F = MS Between/MS Within = 14/4.9 = 2.86 (rounded to two decimal places). However, none of the answer choices match this value exactly. The closest choice is A) 2, which is the only choice that is less than 2.86. Therefore, the best choice is A) 2.

The Following Table Shows the Results of an Analysis of Variance