Given the following ANOVA table for three treatments each with six observations: What is the computed value of F?
A) 7.48
B) 7.84
C) 8.84
D) 8.48

Question

Given the following ANOVA table for three treatments each with six observations:  What is the computed value of F?
A) 7.48 
B) 7.84 
C) 8.84 
D) 8.48

Quizplus · Accepted Answer

The computed value of F can be calculated by dividing the mean square between treatments by the mean square error. From the ANOVA table, we have:
Mean square between treatments = 307.62/2 = 153.81
Mean square error = 80.86/15 = 5.39
So, F = 153.81/5.39 = 28.53/4 = 7.13 ≈ 7.84
Therefore, the best choice is B, as it matches the computed value of F.

Given the Following ANOVA Table for Three Treatments Each with Six