Question

A researcher conducted a two-factor research study using two levels of factor A and four levels of factor B with a separate sample of n = 6 subjects in each of the eight treatment conditions (cells). The following table summarizes the results of the analysis, but it is not complete. Fill in the missing values. (Hint: Start with the df values)

Source	SS	df	MS
Between Treatments	620	____
Factor A	____	____	____	F A = ____
Factor B	____	____	100	F B = ____
A x B	120	____	____	F Ax B = ____
Within Treatments	____	____	____
Total	780	____

Answer 1

Factor A, a = 2

Factor B, b = 4

Replication, r = 6

Source	SS	df	MS	F
Between Treatments	620	1+3+3= 7
Factor A	620-100-120 = 200	a-1= 2-1 = 1	200/1 = 200	200/4 = 50
Factor B	100*3 = 300	b-1 = 4-1 = 3	100	100/4 = 25
A x B	120	(a-1)(b-1) = 1*3 = 3	120/3 = 40	40/4 = 10
Within Treatments	780-620 = 160	ab(r-1) = 2*4*5 = 40	160/40 = 4
Total	780	abr -1=2*4*6-1 = 47