In a 3 * 4 design with four participants per cell,the degrees of freedom to use in looking up the for the interaction effect would be
A)2,36.
B)4,48.
C)6,36.
D)6,48.

Question

In a 3 * 4 design with four participants per cell,the degrees of freedom to use in looking up the  for the interaction effect would be
A)2,36. 
B)4,48. 
C)6,36. 
D)6,48.

Quizplus · Accepted Answer

The degrees of freedom for the interaction effect in a 3x3x4 design with 4 participants per cell can be calculated as follows:

df_interaction = (number of cells - 1) * (number of participants per cell - 1) 
               = (3*3*4 - 1) * (4 - 1)
               = 35 * 3
               = 105

However, since the F1F1F10 factor only has one level and cannot be part of an interaction, we need to subtract the degrees of freedom for that factor:

df_interaction = (3*3*1 - 1) * (4 - 1)
               = 8 * 3
               = 24

Therefore, the degrees of freedom to use in looking up the F-statistic for the interaction effect would be 6,36 (total degrees of freedom minus residual degrees of freedom).

In a 3 * 4 Design with Four Participants Per