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

To find the computed value of F, we look at the ANOVA table and use the formula: 
F = MSbetween / MSwithin

From the given table: 
MSbetween = 155.31 / 2 = 77.65 
MSwithin = 202.74 / 15 =13.516

Therefore, F = 77.65 / 13.516 = 7.84

Hence the answer is B, 7.84.

Given the Following ANOVA Table for Three Treatments Each with Six