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A study compared testosterone levels among athletes in four sports: soccer, track, Lacrosse, and water polo. The total sample size was n =30 (10 soccer, 10 track, 5 Lacrosse, and 5 water polo). A one-way analysis of variance was used to compare the population mean levels for the four sports.
-The sum of squared errors is SS Error = 100. What is the value of the Mean Square Error (MS Error)?
A) 10
B) 3.45
C) 3.85
D) None of the above.

Question

Use the following information for questions:
 A study compared testosterone levels among athletes in four sports: soccer, track, Lacrosse, and water polo. The total sample size was n =30 (10 soccer, 10 track, 5 Lacrosse, and 5 water polo). A one-way analysis of variance was used to compare the population mean levels for the four sports.
-The sum of squared errors is SS Error = 100. What is the value of the Mean Square Error (MS Error)?
A) 10
B) 3.45
C) 3.85
D) None of the above.

Quizplus · Accepted Answer

The Mean Square Error (MS Error) is calculated by dividing the sum of squared errors (SS Error) by the degrees of freedom for error. The degrees of freedom for error is the total sample size minus the number of groups: 30 - 4 = 26. Thus, MS Error = 100 / 26 = 3.85.

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