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A study compared weight loss among 5 different diet programs. A total sample size of 25 people was studied (5 people from each program) using one-way analysis of variance.
-What are the numerator and denominator degrees of freedom for the F-test?
A) 5 for numerator and 25 for denominator.
B) 5 for numerator and 24 for denominator.
C) 4 for numerator and 20 for denominator.
D) None of the above.

Question

Use the following information for questions:
 A study compared weight loss among 5 different diet programs. A total sample size of 25 people was studied (5 people from each program) using one-way analysis of variance.
-What are the numerator and denominator degrees of freedom for the F-test?
A) 5 for numerator and 25 for denominator.
B) 5 for numerator and 24 for denominator.
C) 4 for numerator and 20 for denominator.
D) None of the above.

Quizplus · Accepted Answer

The numerator degrees of freedom for an F-test in a one-way ANOVA is calculated as the number of groups minus one, which is 5 - 1 = 4. The denominator degrees of freedom is calculated as the total sample size minus the number of groups, which is 25 - 5 = 20.

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