In factorial design, a three-factor experiment can be visualized as a cube where the eight corners represent the eight test conditions, with additional experiments conducted at the central point and between low and high factor levels to assess variability and detect curvature in the response surface; this systematic approach requires precise, reproducible experimental conditions and enables the creation of mathematical models and contour plots to analyze relationships between factors and responses.
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Design of Experiments: Factorial DesignAdded:
In the case of a three-factor DOE, the values can be represented in a cube where the corners represent the eight test conditions.
Thus, experiments are carried out along the respective space.
Additional experiments are performed at the central point and points between the low and high factors to determine the intrinsic variability and if there is curvature of the response surface.
Subsequently, a mathematical model can be established to display the responses graphically.
From the contour plot, one can read the relationship between the factors and the responses.
In order for the DOE approach to be regarded as a success, it is essential that any experiments are performed in a systematic way within an accurately controlled framework under reproducible conditions.
Therefore, the requirements for the experimental setup, the experiment itself, and the execution are high and demand a high degree of flexibility, precision, and reproducibility from the synthesis [music] tools with which the experiments are carried out.
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