Data Science for Business and Decision Making

9.8.2 Factorial ANOVA

Factorial ANOVA is an extension of the one-way ANOVA, assuming the same assumptions, but considering two or more factors. Factorial ANOVA presumes that the quantitative dependent variable is influenced by more than one qualitative explanatory variable (factor). It also tests the possible interactions between the factors, through the resulting effect of the combination of factor A’s level i and factor B’s level j, as discussed by Pestana and Gageiro (2008), Fávero et al. (2009), and Maroco (2014).

For Pestana and Gageiro (2008) and Fávero et al. (2009), the main objective of the factorial ANOVA is to determine whether the means for each factor level are the same (an isolated effect of the factors on the dependent variable), ...