The following data represent the means for each treatment condition in a two-factor experiment.Note that one mean is not given.What value would result in no interaction between factors B B2
A1 A2
20 50
60
A)60
B)70
C)80
D)90

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 would result in no interaction between factors B B2
A1 ​A2
20 50
60
A)​60
B)​70
C)80
D)​90

Quizplus · Accepted Answer

In order for there to be no interaction between factors B and B2, the mean difference between B must be the same for both levels of B2. Looking at the means, we can see that the difference between A1 and A2 for B=20 is 40 (60-20) and the difference between A1 and A2 for B=60 is also 40 (90-50). Therefore, the missing mean must be the value that makes the difference between A1 and A2 for B=80 also equal to 40. Since 80+40=120, the missing mean must be 120-60=60. Hence the answer is D.

The Following Data Represent the Means for Each Treatment Condition