publication . Doctoral thesis . 1992

Construction and properties of Box-Behnken designs

Jo, Jinnam;
Open Access
  • Published: 05 Oct 1992
  • Publisher: Virginia Tech
  • Country: United States
Box-Behnken designs are used to estimate parameters in a second-order response surface model (Box and Behnken, 1960). These designs are formed by combining ideas from incomplete block designs (BIBD or PBIBD) and factorial experiments, specifically 2<sup>k</sup> full or 2<sup>k-1</sup> fractional factorials. In this dissertation, a more general mathematical formulation of the Box-Behnken method is provided, a general expression for the coefficient matrix in the least squares analysis for estimating the parameters in the second order model is derived, and the properties of Box-Behnken designs with respect to the estimability of all parameters in a second-order mod...
free text keywords: Incomplete box designs, Response surfaces (Statistics), Factorial experiment designs, LD5655.V856 1992.J6
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Doctoral thesis . 1992
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