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A study compared grade point averages (GPA) among students in 4 different majors (English, History, Statistics, and Art) using analysis of variance. A total sample size of 20 students (5 in each major) was studied.
-What are the numerator and denominator degrees of freedom for the F-test?
A) 5 for numerator and 20 for denominator.
B) 4 for numerator and 79 for denominator.
C) 3 for numerator and 16 for denominator.
D) None of the above.

Question

Use the following information for questions:
 A study compared grade point averages (GPA) among students in 4 different majors (English, History, Statistics, and Art) using analysis of variance. A total sample size of 20 students (5 in each major) was studied.
-What are the numerator and denominator degrees of freedom for the F-test?
A) 5 for numerator and 20 for denominator.
B) 4 for numerator and 79 for denominator.
C) 3 for numerator and 16 for denominator.
D) None of the above.

Quizplus · Accepted Answer

The numerator degrees of freedom for an ANOVA F-test is one less than the number of groups, which is 4 - 1 = 3. The denominator degrees of freedom is the total sample size minus the number of groups, which is 20 - 4 = 16.

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