Hi folks

I'm new to the forum and hoping you can help me understand a question on a statistics past paper...


The following numbers represent population means for a 3x2 factorial
design. So any differences between means are real differences.
A1 A2 A3
B1 W X 90
B2 Y Z 60
Make up values for W, X, Y and Z to fit each of the following descriptions.
a) There are main effects of A and B, and there is an AXB interaction
b) There are main effects of A and B, but no AXB interaction
c) There is an AXB interaction, but no main effects of A or B
d) For pattern (b) above, suggest independent variables A and B and a
dependent variable, which would lead to this pattern of data
e) For pattern (c) above, suggest independt variables A and B and a
dependent variable that would lead to this pattern of data.

I't would be great if someone could explain how to work this out

Thx
Lindy