If an analysis of variance is used for the following data,what would be the effect of changing the value of SS2 to 100?

Sample Data
$$\begin{array} { l c }
M _ { 1 } = 15 & M _ { 2 } = 25 \
S S _ { 1 } = 90 & S S _ { 2 } = 70
\end{array}$$
A)Increase $\text { SSwithin }$ and increase the F-ratio
B)Increase $\text { SSwithin }$ and decrease the F-ratio
C)Decrease $\text { SSwithin }$ and increase the F-ratio
D)Decrease $\text { SSwithin }$ and decrease the F-ratio

Question

If an analysis of variance is used for the following data,what would be the effect of changing the value of SS2 to 100?

Sample Data
$$\begin{array} { l c } 
M _ { 1 } = 15 & M _ { 2 } = 25 \
S S _ { 1 } = 90 & S S _ { 2 } = 70
\end{array}$$
A)Increase $\text { SSwithin }$ and increase the F-ratio
B)Increase $\text { SSwithin }$ and decrease the F-ratio
C)Decrease $\text { SSwithin }$ and increase the F-ratio
D)Decrease $\text { SSwithin }$ and decrease the F-ratio

Quizplus · Accepted Answer

Changing the value of SS to 100 would increase the sum of squares within groups ($SS_{within}$) because it increases the variability within one of the groups. An increase in $SS_{within}$ leads to a decrease in the F-ratio, as the F-ratio is calculated as the ratio of the variance between groups to the variance within groups. Increasing the denominator (variance within groups) decreases the F-ratio.

If an Analysis of Variance Is Used for the Following M1=15M2=25SS1=90SS2=70\begin{array} { l c } M _ { 1 } = 15 & M _ { 2 } = 25 \\S S _ { 1 } = 90 & S S _ { 2 } = 70\end{array}M1​=15SS1​=90​M2​=25SS2​=70​

If an Analysis of Variance Is Used for the Following $\begin{array} { l c } M _ { 1 } = 15 & M _ { 2 } = 25 \\S S _ { 1 } = 90 & S S _ { 2 } = 70\end{array}$