1. Main A, No B, No AxB B1 B2 10 A1 2 2 2 5 B2 A2 4 4 4 B1 3 3 A1 A2

2. Main A, Main B, No AxB B1 B2 10 A1 2 4 3 B2 5 B1 A2 4 6 5 3 5 A1 A2

3. No Main A, Main B, No AxB B1 B2 10 A1 2 4 3 B2 5 A2 2 4 3 B1 2 4 A1 A2

4. No Main A, No Main B, No AxB 4 4.2 4.1 4 4.2 4.1 4 4.2 B1 B2 A1 B2 B110 A1 4
4.2
4.1 B2 5 B1 A2 4
4.2
4.1 4
4.2 A1 A2

5. Main A, No Main B, AxB B1 B2 10 B2 A1 3 1 2 5 B1 A2 5 7 6 4 4 A1 A2

6. Main A, Main B, AxB B1 B2 B2 10 A1 2 4 3 5 B1 A2 4 10 7 3 7 A1 A2

7. Main A, Main B, AxB B1 B2 10 B2 A1 4 6 5 5 A2 2 8 5 B1 3 7 A1 A2

8. No Main A, No Main B, AxB B1 B2 10 B1 A1 4 8 6 5 B2 A2 8 4 6 6 6 A1 A2

9. Checking for an Interaction
Using the line graph
Non parallel lines --> Possible Interaction
Crossover lines --> Definite Interaction
Matrix Table
If the difference between A1/A2 is different for each level of B, there is an interaction
If the difference between B1/B2 is different for each level of A, there is an interaction

10. Checking for a Main Effect of A
Using the line graph
Both lines slope upward or both lines slope downward you have a Main Effect of A
To use the Matrix
Check the marginal means for A (here the row means)

11. Checking for a Main Effect of B
Using the line graph
If line B1 is above line B2 or line B2 is above B1 you have a possible main effect of B
To use the Matrix
Compare the marginal means for B (here the column means)