For the following ANOVA table,the observed F value is ___.
A)0.5625
B)50
C)25
D)0.02
E)0.09

Question

For the following ANOVA table,the observed F value is ___. 
A)0.5625 
B)50 
C)25 
D)0.02 
E)0.09

Quizplus · Accepted Answer

The observed F value is the ratio of the between-group variability to the within-group variability. In the given ANOVA table, the between-group variability is represented by the mean square for groups (MSG) and the within-group variability is represented by the mean square for error (MSE). Therefore, the observed F value is calculated as MSG/MSE.

From the table, MSG is 100 and MSE is 4. The observed F value is therefore 100/4 = 25.

Hence, the correct answer is C) 25.

For the Following ANOVA Table,the Observed F Value Is ___