For a 2 x 2 structure, the F-test for the interaction between factors A and B is essentially equivalent to the t-test (A1B1-A1B2)-(A2B1-A2B2) or (A1B1-A2B1)-(A1B2-A2B2). Even better, you get more information from the t-test than F because t-test directly provides the sign/directionality for the associated effect; for example, a positive t-value shows A1B1-A1B2 > A2B1-A2B2 and A1B1-A2B1 > A1B2-A2B2.
The same goes with the two main effects.
Gang
Edited 1 time(s). Last edit at 10/01/2019 05:35PM by Gang.
