A researcher has used a oneway analysis of variance model to

A researcher has used a one-way analysis of variance model to test whether the average starting salaries differ among recent graduates from the nursing, engineering, business, and education disciplines. She has randomly selected four graduates from each of the four areas. If MSE = 4, and SSTO = 120, complete the following ANOVA table. Is there a significant difference in the starting salaries among the four disciplines? (Ho: No difference)Source SS DF MS F Treatment Error Total

Solution

There are a total of 4 groups.

DF_treatment = 4-1 = 3

DF_error = 16 - 4 = 12

DF_total =DF_treatment + DF_error = 3+12 = 15

MS_error = 4

SS_error = DF_error * MS_error = 48

SS_total = 120

SS_treatment = SS_total - SS_error = 120 - 48 = 72

MS_treatment = SS_treatment/DF_treatment = 72/3 = 24

F = MS_treatment/MS_error = 24/4 = 6.0

Source	SS	DF	MS	F
Treatment	72	3	24	6.0
Error	48	12	4
Total	120