#### Question 6. The post-hoc test above provides pairwise comparisons for each factor (i.e. the main effects) as well as for the interaction. However, In this case, we should focus solely on the interaction tests, and not on the marginal mean comparison. Why? #### Question 7. Are any of the pairwise comparisons NOT statistically significant? Provide the p-value. #### Next, let us obtain the posthoc pairwise comparisons: ```{r} TukeyHSD FANOVA_results) Tukey multiple comparisons of means 95% family-wise confidence level Fit: aov(formula = Feeling_of_Power ~ $Pose Pose Paranoia, data = DATA_A7) diff lwr upr p adj Power-Non_Power 0.56 0.365175 0.754825 1e-07 $Paranoia diff lwr upr p adj 0 Paranoid-Non_Paranoid -1.62 -1.814825 -1.425175 $ Pose: Paranoia` diff lwr Power: Non_Paranoid-Non_Power: Non_Paranoid 0.72 0.35798719 upr p adj 1.0820128 0.0000037 Power: Paranoid-Non_Power: Non_Paranoid Non Power: Paranoid-Power: Non_Paranoid Non Power: Paranoid-Non_Power: Non_Paranoid -1.46 -1.82201281 -1.0979872 0.0000000 Power: Paranoid-Power: Non_Paranoid Power: Paranoid-Non_Power: Paranoid -1.06 -1.42201281 -0.6979872 0.0000000 -2.18 -2.54201281 -1.8179872 0.0000000 -1.78 -2.14201281 -1.4179872 0.0000000 0.40 0.03798719 0.7620128 0.0238672