A researcher is comparing 4 groups to test if they have the same means. There are data values altogether. The degrees of freedom for the Between (dfB) and the degrees of
Freedom for the Within (dfW) are
A) dfB = 4, dfW = 63
B) dfB = 3, dfW = 60
C) dfB = 60, dfW = 63
D) dfB = 3, dfW = 63

Question

Quizplus · Accepted Answer

The degrees of freedom for the Between groups (dfB) is calculated as the number of groups minus one, which is 4 - 1 = 3. The degrees of freedom for the Within groups (dfW) is calculated as the total number of observations minus the number of groups. However, the total number of observations is not provided in the question. Assuming a typo and that the total number of observations should have been mentioned, the correct formula application for dfW would typically result in a number that represents all individual scores minus the number of groups. Given the options, B) dfB = 3, dfW = 60 seems to be the correct choice by the structure of the answer options, assuming a total of 64 observations (60 + 4 groups = 64 total observations).

A Researcher Is Comparing 4 Groups to Test If They