This chapter moves on from simple ‘one-way’ designs to more complex factorial designs. It extends the simple linear model to include interactions as well as average main effects. Interactions are assessed relative to a null additive expectation where the treatments have no effect on each other. Interactions can be positive when effects are more than additive or negative when they are less than expected. It considers in detail the analysis of an example data set concerning the mechanisms of loss of plant diversity following fertilizer treatment.
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