Today we considered that ANOVA can be generalized to consider relatively complicated designs with two or more factors. In a two-way design, we can make inferences concerning the main effects of each factor, as well as their interaction. This partitions the between-groups variability into three distinct sources. If a factor is made from a preexisting characteristic of the units, then it can be used as a a blocking variable in what is sometimes known as a block design. The intention of a blocking variable is to control for an important source of variability.
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