Unbalanced and Minimal Point Equivalent Estimation Second-Order Split-Plot Designs

Journal of Quality Technology vol. 39 issue 4 - October 2007

Abstract: [This abstract is based on the authors' abstract.] Split-plot design structures are used in industrial experiments to minimize costs by reducing the number of resets of hard-to-change factors. Unbalanced designs are considered here for situations where the subplots are costly and the experimental apparatus accommodates an unequal number of runs per whole plot. Construction methods are provided for unbalanced second-order designs and for unbalanced versions of the central-composite and Box-Behnken designs. Where subplot cost approaches whole-plot cost, minimal point designs are proposed and illustrated with a split-plot Notz design.

Keywords: Box plots - Composite design - Equivalency - Estimation - Random effects - Split-plot design

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