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Response Surface Designs Within a Split-Plot Structure

Summary: [This abstract is based on the authors' abstract.]Many designed experiments contain certain factors that are harder to change than others, calling for a strategy that may restrict randomization and lead to a split-plot structure. A method is proposed to establish how the common central-composite design can be modified to accommodate a split-plot structure, thus permitting pure-error estimates of two variance components. Conditions on the design that make ordinary least squares and weighted least squares estimates equivalent are explained. It is shown that standard experimental design software can be used to analyze second-order response surfaces.

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  • Topics: Design of Experiments
  • Keywords: Split-plot design,Response surface methodology (RSM),Composite design,Design of experiments (DOE)
  • Author: Vining, G. Geoffrey; Kowalski, Scott M.; Montgomery, Douglas C.
  • Journal: Journal of Quality Technology