For a two-factor study with 2 levels of factor A, 2 levels of factor B, and a separate sample of n = 10 participants in each treatment condition, what is df_{within treatments}? A)9 B)18 C)36 D)39

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Quizplus · Accepted Answer

The degrees of freedom within treatments (df_within) is calculated as the total number of observations minus the number of treatment conditions. There are 2 levels of factor A and 2 levels of factor B, resulting in 2 x 2 = 4 treatment conditions. With n = 10 participants per condition, there are 4 x 10 = 40 total observations. Therefore, df_within = 40 - 4 = 36.

For a Two-Factor Study with 2 Levels of Factor A