A professor of statistics at Wayne State University in the US wants to determine whether the average starting salaries among graduates of the 15 universities in Michigan are equal. A sample of 25 recent graduates from each university is randomly taken. The appropriate critical value for the ANOVA test is obtained from the F-distribution with number so of degrees of freedom equal to:
A) 15 and 25.
B) 14 and 360.
C) 360 and 14.
D) 25 and 15.

Question

Quizplus · Accepted Answer

The degrees of freedom for the ANOVA test are calculated as follows: the numerator degrees of freedom is the number of groups minus one (15 - 1 = 14), and the denominator degrees of freedom is the total number of observations minus the number of groups (15*25 - 15 = 360).

A Professor of Statistics at Wayne State University in the US