I used same variables (3 IVs and 1 DV) to run factorial ANOVA and multiple regression. I expect the similar findings on the linkage between IVs and DV. However, the findings seem not linking each other.

For example, the IV does not have significant main effect and interaction effect on DV in factorial ANOVA analysis. However, the same IV resulted contribute most in predicting the DV in multiple regression.

In this case, what is difference between factorial ANOVA and multiple regression? Appreciate your advice.