Question

Below is the data of a factorial experiment consisting of 2 levels of factor A, ie levels 1 and 2, and 3 levels of factor B, ie levels 1, 2, and 3.

                                                                                                Factor B

                                                                Level 1                  Level 2                  Level 3

                                Level 1                  135                         90                           75

Factor A                                               165                         66                           93

                                Level 2                  125                         127                         120

                                                                95                           105                         136

Create an ANOVA table! And what can you conclude? α = 0.05

(Use manual calculations and Minitab software)

Answer 1

In minitab -> Stat -> Anova -> General Linear model

Since P-value for Factor A = 0.202 > 0.05, so at 5% level of significance, we can conclude that factor A has no significant effect on response.

P-value for Factor B = 0.077 > 0.05, so at 5% level of significance, we can conclude that factor B has no significant effect on response.

Moreover, P-value for interaction between Factor A and Factor B = 0.022 < 0.05, 0.05, so at 5% level of significance, we can conclude that there is significant interaction present between Factor A and Factor B on response values.