Two-Way (Factorial) ANOVA

Laura1

Good afternoon, 

I performed a factorial experiment and obtainded a not significant ANOVA. 

But on the Effect test one factor is significant.

How can I interpret the results? Wich results I have to consider correct? ANOVA (Prob > f) or EFFECT TEST?

 

Thank you

Mark_Bailey

Both of these tests are correct. They are two different tests.

The F-test in the Analysis of Variance tests the whole model. It compares the full model (all terms present) to the reduced model (intercept only). The F ratio is the mean model sum of squares divided by the mean error sum of squares. It is concluded in this case that the full model is not statistically significantly different from the reduced model using alpha = 0/05.

The F-test in the Effect Tests tests individual terms. It compares the full model to a reduced model without the given term but conditional on the other terms being present. The F ratio is the (term sum of squares divided by the numerator degrees of freedom) divided by the mean error. It is concluded in this case that the TAGLIO term is statistically significantly different from zero using alpha = 0.05.