A one-way ANOVA is performed to compare the means of three populations. The sample sizes are 10, 11, and 13. Determine the degrees of freedom for the F-statistic.
A)(2, 31)
B)(3, 31)
C)(31, 33)
D)(2, 33)

Question

A one-way ANOVA is performed to compare the means of three populations. The sample sizes are 10, 11, and 13. Determine the degrees of freedom for the F-statistic. 
A)(2, 31)
B)(3, 31)
C)(31, 33)
D)(2, 33)

Quizplus · Accepted Answer

The degrees of freedom for the F-statistic in a one-way ANOVA are calculated as follows: The numerator degrees of freedom (df1) is the number of groups minus one, which is 3 - 1 = 2. The denominator degrees of freedom (df2) is the total sample size minus the number of groups, which is 10 + 11 + 13 - 3 = 31. Therefore, the degrees of freedom for the F-statistic are (2, 31).

A One-Way ANOVA Is Performed to Compare the Means of Three