Question

The following table summarizes the results from a two-factor study with 3 levels of Factor A and 4 levels of Factor B using a separate sample of 5 participants in each treatment condition. Fill in the missing values. Make sure to show your work.

Source	SS	df	MS	F
Between treatments	650
Factor A			50
Factor B
AxB interaction	120
Within treatments			25
Total

Answer 1

Factor A (DF) =levels of A -1=3-1=2

Factor B (DF) =levels of B -1=4-1=3

AxB interaction (df) = Factor A (DF)* Factor B (DF) =2*3 =6

Within treatments (dF) = levels of A*levels of B*(replication-1) =3*4*(5-1)=48

df (between) =df(A)+df(B)+df(interaction) =2+3+6 =11

SS(A) =df(A)*MS(A) =50*2 =100

SS(within) =48*25 =1200

SS(factor B) =650-120-100 =430

also since MS =SS/df ; as well F =MS(Factor)/MS(within)

Source	SS	df	MS	F
between	650.00	11
A	100.00	2	50.00	2.00
B	430.00	3	143.33	5.73
AB	120.00	6	20.00	0.80
within	1200.00	48	25.00
total	1850.00	59