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Composite Response Surface Designs for Factors With Jointly Symmetric Effects

Summary: [This abstract is based on the authors' abstract.] Complete first- or second order linear models are used to represent the functional relationships between independent and expected responses in most applications of response surface analysis based on polynomial regression. In certain settings, knowledge of the physical system under study can be used to modify the model form, as when some of the experimental factors have a joint symmetric effect on the responses of interest. An experiment is described that is focused on the design of a control system for an agricultural combine. It is shown how the statistical model can be simplified and standard second-order composite designs can be modified to take advantage of this structure.

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  • Topics: Design of Experiments
  • Keywords: Design of experiments (DOE), Composite design, Linear models, Response surface methodology (RSM), Agriculture
  • Author: Morris, Max D.; Dilts, Brad; Birrell, Stuart J.; Dixon, Philip M.
  • Journal: Technometrics