For each of the tables created in Exercise 3, calculate the marginal means (left(bar{X}_{mathrm{A}} ight.) and (left.bar{X}_{mathrm{B}}

For each of the tables created in Exercise 3, calculate the marginal means \(\left(\bar{X}_{\mathrm{A}}\right.\) and \(\left.\bar{X}_{\mathrm{B}}\right)\) and determine whether the main effects and the \(\mathrm{A} \times \mathrm{B}\) interaction are significant (in this exercise, assume any difference between means is significant).

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a. Factor B by 2- Factor A 32 Main effect, Factor A? Main effect, Factor B? A x B interaction effect? C. Factor B by B Factor A 33 X B b. 21 by Factor B b X Factor A A Main effect, Factor A? Main effect, Factor B? Ax B interaction effect? d. Factor B XA Main effect, Factor A? Main effect, Factor B? A Main effect, Factor A? Main effect, Factor B? Ax B interaction effect? A x B interaction effect? 22 B Factor A 22 83 X 8