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

Homework Answers

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
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