Design of experiments : Two-level fractional factorial designs 2k–p

Two-level fractional factorial designs 2k–p
Design of experiments

Author : Jacques GOUPY

Review date: October 1, 2020 | Lire en français

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3. Two-level fractional factorial designs 2k–p

Two-level fractional factorial designs are very useful, as they considerably reduce the number of trials. However, for the results of such designs to be correctly interpreted, you need to be familiar with the theory of aliases, which we'll describe using a 2 ³ design.

3.1 Contrasts and equivalence relations

Instead of performing all eight trials of a complete 2 ³ design, an experimenter performs just four experiments. He chooses four experiments in such a way that the points representing the trials are projected onto the four vertices of each face of the cube defining the study domain (figure

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Two-level fractional factorial designs 2k–p