If an analysis of variance is used for the following data,what would be the effect of changing the value of SS₂ to 100?? $$\begin{array} { l l } \text { Sample Data}\ \mathrm { M } _ { 1 } = 15 & \mathrm { M } _ { 2 } = 25 \ \mathrm { SS } _ { 1 } = 90 & \mathrm { SS } _ { 2 } = 70 \ \hline \end{array}$$ A)?Increase SS_within and increase the size of the F-ratio. B)?Increase SS_within and decrease the size of the F-ratio. C)?Decrease SS_within and increase the size of the F-ratio. D)?Decrease SS_within and decrease the size of the F-ratio.

Question

Quizplus · Accepted Answer

Changing the value of SSS1U1B12S1U1B0 to 100 increases the within-group sum of squares (SS1) by 10 (since SS1 = SSS1U1B1withinS1U1B0 + SSS1U1B1between) and decreases the between-group sum of squares (SS2) by 10 (since SS2 = SSS1U1B1betweenS1U1B0). This leads to a smaller F-ratio, as the numerator (SS2/df between) is smaller and the denominator (SS1/df within) is larger. Therefore, the correct answer is B.

If an Analysis of Variance Is Used for the Following