A study reports the following statistic: F(2,33) = 1.16. What is N (the number of participants in each group)?
A) 2
B) 3
C) 12
D) 33

Question

Quizplus · Accepted Answer

The F statistic has two degrees of freedom in the numerator (for the between-group variability) and 33 degrees of freedom in the denominator (for the within-group variability). The degrees of freedom in the numerator correspond to the number of groups being compared (in this case, 2). Therefore, the total number of participants in the study would be equal to the number of participants in each group multiplied by the number of groups being compared:

N x 2 = 33 + 2

N x 2 = 35

N = 35/2

N = 17.5

Since N must be a whole number, the closest option is C, which has N = 12.

A Study Reports the Following Statistic: F(2,33) = 1