i. The shape of the F distribution is determined by the degrees of freedom for the F-statistic, one for the numerator and one for the denominator. ii. Like Student's t distribution, a change in the degrees of freedom causes a change in the shape of the F distribution.
iii. The calculated F value must be equal to or greater than zero (0).
A) (i), (ii), and (iii) are all correct statements.
B) (i) and (ii) are correct statements but not (iii).
C) (i) and (iii) are correct statements but not (ii).
D) (ii) and (iii) are correct statements but not (i).
E) (i), (ii), and (iii) are all false statements.

Question

Quizplus · Accepted Answer

The shape of the F distribution indeed depends on the degrees of freedom in both the numerator and the denominator. Like the t distribution, changes in degrees of freedom affect the F distribution's shape. The F value, being a ratio of variances, cannot be negative, thus must be equal to or greater than zero.

I the Shape of the F Distribution Is Determined by the Degrees