3x2 Factorial Design Question

Hi folks (Hi)

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

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 (Clapping)

Thx

Lindy