Analysis of Variance and Experimental Design

Analysis of variance can be viewed as a special case of multiple regression where the explanatory variables are entirely qualitative. In the previous chapter it was demonstrated how indicator variables can be used in a multiple regression to represent qualitative explanatory variables. Most analysis of variance models can be conveniently represented using a multiple regression formulation. In this chapter the traditional analysis of variance models and the multiple regression model form will be introduced throughout. Indicator variables will be generated using dummy coding, effect coding and cell mean coding. Orthogonal coding will also be introduced.

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