Question

# The following table summarizes the results from a two-factor study with 3 levels of Factor A...

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

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