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What is Box-Behnken

Design of Experiments for Chemical, Pharmaceutical, Food, and Industrial Applications
Is an independent quadratic design in that it does not contain an embedded factorial or fractional factorial design. In this design, the treatment combinations are at the midpoints of edges of the process space and at the center. These designs are rotatable (or near rotatable) and require 3 levels of each factor. The designs have limited capability for orthogonal blocking compared to the central composite designs.
Published in Chapter:
Optimization of a Spectrophotometric Flow Injection: Method for Determination Copper and Manganese in Wines by Design Experiments
Germán Adán Sánchez Gallegos (Universidad Autónoma de Baja California, México), Maria del Pilar Haro Vazquez (Universidad Autónoma de Baja California, Mexico), José Manuel Cornejo-Bravo (Universidad Autónoma de Baja California, Mexico), and Eugenia Gabriela Carrillo-Cedillo (Universidad Autónoma de Baja California, Mexico)
DOI: 10.4018/978-1-7998-1518-1.ch008
Abstract
This chapter presents the optimization of the hydrodynamic and chemical parameters of the FIA system in the determination of copper and manganese in wine samples by VIS spectrophotometry. This technique has been based on the injection of liquid samples in the non-segmented movement, within a continuous carrier current of a suitable liquid. The injected sample forms a zone that disperses on its way to a detector. The later continuously records the absorbance or other physical parameters, since it continuously passes the sample material through the flow cell, using the factorial designs Plackett-Burman, Box-Behnken, and the factorial design 2^4. The methods have the advantages of low-cost, easy availability of chemicals, and instrumentation and straightforward application to real samples.
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