The following data represent the means for each treatment condition in a two factor experiment.Note that one mean is not given.What value for the missing mean would result in no A*B interaction? B1 B2

A)10
B)20
C)30
D)40

Question

The following data represent the means for each treatment condition in a two factor experiment.Note that one mean is not given.What value for the missing mean would result in no A*B interaction? B1 B2

A)10 
B)20 
C)30 
D)40

Quizplus · Accepted Answer

In a two factor experiment with no interaction, the effect of one factor is the same across all levels of the other factor. Since one mean is missing, we can't calculate the main effects for factor A or B, but we can look for differences between the means for each level of B at each level of A. If we calculate the differences for each level of A, we find that the difference between B1 and B2 is the same for every level of A, except for A2 which is missing. Thus, we can assume that the missing mean for A2 is also 20, which would result in no interaction between factors A and B.

The Following Data Represent the Means for Each Treatment Condition