7 Factorial experiments
In a factorial experiment each complete trial or replicate of the experiment contains all possible combinations of the levels of the factors under investigation. With factor \(A\) at \(a\) levels and factor \(B\) at \(b\) levels, each replicate has \(ab\) treatment combinations. Section 1 showed why this is the right way to study several factors: it detects interactions, which one-factor-at-a-time experiments cannot, and it uses every run to estimate every main effect.
7.1 Main effects and interaction
7.2 The two-factor factorial design
7.3 One observation per cell
7.4 More than two factors
7.5 Blocking in a factorial design
7.6 Practice problems
7.2 The two-factor factorial design
7.3 One observation per cell
7.4 More than two factors
7.5 Blocking in a factorial design
7.6 Practice problems
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