A portion of an ANOVA summary table is shown below. The critical value for this problem should have dfN (degrees of freedom in the numerator) ___ and dfD
(degrees of freedom in the denominator) of ___:
A)dfN = 2, dfD = 27
B)dfN = 27, dfD = 2
C)dfN = 22, dfD = 39
D)dfN = 39, dfD = 22

Question

A portion of an ANOVA summary table is shown below.  The critical value for this problem should have dfN (degrees of freedom in the numerator) ___ and dfD
(degrees of freedom in the denominator) of ___:
A)dfN = 2, dfD = 27 
B)dfN = 27, dfD = 2 
C)dfN = 22, dfD = 39 
D)dfN = 39, dfD = 22

Quizplus · Accepted Answer

From the table, we can see that there are 3 groups (dfN = 3) and a total of 30 observations (dfD = 30). Therefore, the critical value should have dfN = 2 (3-1) and dfD = 27 (30-3). Choice A is the only option that matches these requirements. From the table, we can see that there are three groups (dfN = 2) and a total sample size of 30 (dfD = 27). Therefore, the critical value should have dfN = 2 and dfD = 27. Choice A is the only option that satisfies these criteria.

A Portion of an ANOVA Summary Table Is Shown Below