Question

Given below are sample sizes for the groups in a dataset and an outline of an analysis of variance table with some information on the sums of squares.

Given below are sample sizes for the groups in a dataset and an outline of an analysis of variance table with some information on the sums of squares. Fill in the missing parts of the table. Round your answers to two decimal places, if necessary. Three groups with n1 = 7 n2 = 7 ,and n3 = 7 ANOVA table includes: Source df F-statistic SS MS i i Groups 120 i i i 279 Error i Total 399

Answer 1

df(Total) = n-1 = (7+7+7)-1 = 20

df(groups) = k-1 = 3-1 = 2

df(Error) = n-k = 21 - 3 = 18

Mean sum of squares (Groups) = MS(Groups) = SS(Groups) / df(Groups) = 120/2 = 60

Mean sum of squares (Error) = MS(Error) = SS(Error) / df(Error) = 279/18 = 15.5

F-statistic = MS(Groups) / MS(Error) = 60/15.5 = 3.87

ANOVA table:

Source	df	SS	MS	F-statistic
Groups	2	120	60
Error	18	279	15.5	3.87
Total	20	399