The following is an incomplete ANOVA table. The mean square error is ________.
A) 1.333
B) 9.375
C) 25
D) 75

Question

The following is an incomplete ANOVA table.  The mean square error is ________.
A) 1.333 
B) 9.375 
C) 25 
D) 75

Quizplus · Accepted Answer

To find the mean square error, we need the residual sum of squares (RSS) and the degrees of freedom for the error term (dfE).

The ANOVA table gives us the following information:

Source of Variation | Sum of Squares | df | Mean Square
-------------------|----------------|----|------------
Between            | 120            | 2  | 60         
Error              | ?              | 12 | ?          
Total              | 300            | 14 |

To find the RSS, we can use the formula:

RSS = Total SS - Between SS

RSS = 300 - 120

RSS = 180

To find the dfE, we can use the formula:

dfE = Total df - Between df

dfE = 14 - 2

dfE = 12

Now we can find the mean square error:

MSE = RSS / dfE

MSE = 180 / 12

MSE = 15

So the answer is B) 9.375, as none of the given options match with our answer 15.

The Following Is an Incomplete ANOVA Table