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 = 11 participants in each treatment condition. Fill in the missing values. (Hint: Start with the df values.)
Source | SS | df | MS | |
Between treatments | _____ | ____ | ||
Factor A | _____ | _____ | _____ | F = 7 |
Factor B | _____ | _____ | _____ | F =8 |
A × B Interaction | _____ | _____ | _____ | F = 3 |
Within treatments | 240 | _____ | _____ | |
Total | ____ | ____ |
Given info:
The design is in two-factor study with 2 levels of factor A and 3 levels of factor B and the sample size is
Calculation:
Let r, c and k represent the numbers of levels of factor A, numbers of levels of factor B and total numbers of treatment conditions respectively.
Let n and N represents the numbers of participants in each treatment and total numbers of participants in study. Then,
Calculating the
For total:
For between treatments:
For within treatments:
For factor A:
For factor B:
For interaction effect:
Calculating the mean sum of squares:
For within treatments:
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