Question
Asked Jan 21, 2020
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18. The following table summarizes the results from a
two-factor study with 2 levels of factor A and 3 levels
of factor B using a separate sample of n = 8 partici-
pants in each treatment condition. Fill in the missing
values. (Hint: Start with the df values.)
df
Source
SS
MS
Between treatments
72
Factor A
F = 6.0
Factor B
A X B Interaction
Within treatments
Total
12
F =
126
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18. The following table summarizes the results from a two-factor study with 2 levels of factor A and 3 levels of factor B using a separate sample of n = 8 partici- pants in each treatment condition. Fill in the missing values. (Hint: Start with the df values.) df Source SS MS Between treatments 72 Factor A F = 6.0 Factor B A X B Interaction Within treatments Total 12 F = 126

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Expert Answer

Step 1

The degree of freedom for factor A = a – 1 = 2 – 1 = 1

The degree of freedom for factor B = b – 1 = 3 – 1 = 2

The degree of freedom for interaction A × B = (a - 1)× (b - 1) = 1 × 2 = 2

The degree of freedom between treatments = df A + df B + df (A × B) = 1+2+2 = 5

The degree of freedom within = ab(n - 1) = (2×3)(8 - 1) = 42

The total degree of freedom = abn – 1 = (2×3×8) – 1 = 47

Step 2

The values can be obtained as:

Statistics homework question answer, step 2, image 1
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Step 3

Now,

...
Statistics homework question answer, step 3, image 1
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