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Applying Box-Behnken design is an efficient method to optimize the selected factors for maximal production that tests the effect of factors interaction.
The Box-Behnken design with the Response Surface Analysis (RSA) is the one method to use in an empirical study of the relationship and the optimization, where several independent variables influence a response.
For the second experiment--to optimize the process, Somerville then used Design-Expert software's response surface methods (RSM) to configure a Box-Behnken design that models the curvature of a non-linear response.
The steady state experiments followed a three level, three parameter Box-Behnken design of experiments (DOE).
2] A three-factor, three-level Box-Behnken design is one of many response surface designs used to construct the response surface for the analysis and optimization of the coatings formulations.
A 12-run Box-Behnken design with five replicated center points was used to generate the data.
11) The Box-Behnken design has fewer runs than a full 3-level factorial, and was set up and evaluated using commercially available statistical software packages, Design Expert 6.