2 x 2 Factorial Design: OUTCOME 8

  • Factor A Main Effect: NO
  • Factor B Main Effect: NO
  • Factor A x Factor B Interaction: YES
  FACTOR B  
  B1 B2 Row Mean
FACTOR A A1
9 1
1 9
 5
A2 5
  Column Mean 5 5

General Interpretation

  • Factor A has no effect on the dependent variable (DV) when averaged over both levels of Factor B (identical row means in table; non-flat, dashed red line in left graph).

  • Factor B has no effect on the dependent variable (DV) when averaged over both levels of Factor A (identical column means in table; non-flat, dashed blue line in right graph).

  • The effect of Factor A depends on the level of Factor B; its effect is different at B1 than at B2 (left graph). Alternatively, the effect of Factor B depends on the level of Factor A; its effect is different at A1 than at A2 (right graph).