If an analysis of variance is used for the following data,what would be the effect of changing the value of M₂ to 20?? $$\begin{array} { l l } \text { Sample Data}\ \mathrm { M } _ { 1 } = 10 & \mathrm { M } _ { 2 } = 15 \ \mathrm { SS } _ { 1 } = 90 & \mathrm { SS } _ { 2 } = 70 \ \hline \end{array}$$ ?? A)?Increase SS_between and increase the size of the F-ratio. B)?Increase SS_between and decrease the size of the F-ratio. C)?Decrease SS_between and increase the size of the F-ratio. D)?Decrease SS_between and decrease the size of the F-ratio.

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Quizplus · Accepted Answer

Changing the value of $M_1$ from 10 to 20 would increase the difference between the means ($M_1$ and $M_2$), thereby increasing the Sum of Squares Between (SSB). Since the F-ratio is calculated as the ratio of the variance between groups to the variance within groups, increasing the SSB while keeping the Sum of Squares Within (SSW) constant would result in an increase in the size of the F-ratio.

If an Analysis of Variance Is Used for the Following