Use the following information for questions:
A study compared grade point averages (GPA) among students in 4 different majors (English, History, Statistics, and Art) using analysis of variance. A total sample size of 20 students (5 in each major) was studied.
-The Error Sum of Squares is SS Error = 64. What is the Mean Square Error (MS Error)?
A) 3.2
B) 4
C) 16
D) None of the above.

Question

Use the following information for questions:
 A study compared grade point averages (GPA) among students in 4 different majors (English, History, Statistics, and Art) using analysis of variance. A total sample size of 20 students (5 in each major) was studied.
-The Error Sum of Squares is SS Error = 64. What is the Mean Square Error (MS Error)?
A) 3.2
B) 4
C) 16
D) None of the above.

Quizplus · Accepted Answer

The Mean Square Error (MS Error) is calculated by dividing the Error Sum of Squares (SS Error) by the degrees of freedom associated with the error. The degrees of freedom for the error is the total number of observations minus the number of groups. Here, there are 20 students (observations) and 4 groups (majors), so the degrees of freedom for the error is 20 - 4 = 16. Therefore, MS Error = SS Error / degrees of freedom for error = 64 / 16 = 4.

Use the Following Information for Questions