An analysis of variances produce SSbetween = 30, SSwithin = 60, and an F-ratio with df
= 2, 15. For this analysis, what is the F-ratio?
a. 30/60 = 0.50
b. 60/30 = 2.00
c. 15/4 = 3.75
d. 4/15 = 0.27
F ratio = (30/2)/(60/15) = 15/4 = 3.75
To find the F-ratio, divide the variance between treatments (SSbetween) by the variance within treatments (SSwithin).
Given that SSbetween = 30 and SSwithin = 60, the F-ratio is calculated as follows:
F-ratio = SSbetween / SSwithin
Substituting the given values:
F-ratio = 30 / 60
Simplifying the expression:
F-ratio = 0.5
Therefore, the F-ratio is 0.5.
The correct answer is option a. 30/60 = 0.50.
To find the F-ratio, you need to divide the variance between treatment groups (SSbetween) by the variance within treatment groups (SSwithin).
Given that SSbetween = 30 and SSwithin = 60, the F-ratio can be calculated as follows:
F-ratio = SSbetween / SSwithin
F-ratio = 30 / 60
Simplifying further, we get:
F-ratio = 1/2
Therefore, the correct answer is:
a. 30/60 = 0.50