Fundamentals of Experimental Design

Abstract

Designed experiments are a key technology for innovation. Both breakthrough innovation and incremental innovation activities can benefit from the effective use of designed experiments. Sir Ronald A. Fisher systematically introduced statistical thinking and principles into designing experimental investigations, including the factorial design concept and the analysis of variance, which remains today the primary method for analyzing data from designed experiments. Fractional factorial designs are usually effective in factor screening because of the sparsity of effects principle . The principle stares that only a fraction of the potential factors of interest in any system are actually important. Screening experiments are usually performed in the early stages of a project when many of the factors initially considered likely have little or no effect on the response. The chapter shows how to find the alias relationships in a 2 k-p fractional factorial design by use of the complete defining relation.

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