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 = 3, dfD = 26
B) dfN = 26, dfD = 3
C) dfN = 19, dfD = 34
D) dfN = 34, dfD = 19

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 = 3, dfD = 26 
B) dfN = 26, dfD = 3 
C) dfN = 19, dfD = 34 
D) dfN = 34, dfD = 19

Quizplus · Accepted Answer

From the table, we see that the F-statistic is 3.53 and the p-value is 0.026. Looking up the p-value in an F-distribution table (with 3 and 26 degrees of freedom), we can see that the critical value for a significance level of 0.05 is 3.07. Therefore, the degrees of freedom must be dfN = 3 and dfD = 26.

A Portion of an ANOVA Summary Table Is Shown Below