Blocking and Fractionating 2 k Factorial Designs
George E. P. Box, Norman R. Draper
Abstract
George E. P. Box, Norman R. Draper
Abstract
This chapter contains sections titled: Blocking the 26 Design Fractionating the 26 Design Resolution of a 2k–p Factorial Design Construction of 2k–p Designs of Resolution III and IV Combination of Designs from the Same Family Screening, Using 2k–p Designs (Involving Projections to Lower Dimensions) Complete Factorials Within Fractional Factorial Designs Plackett and Burman Designs for n = 12 to 60 (but not 52) Screening, Using Plackett and Burman Designs (Involving Projections to Lower Dimensions) Efficient Estimation of Main Effects and Two-Factor Interactions Using Relatively Small Two-Level Designs Designs of Resolution V and of Higher Resolution Application of Fractional Factorial Designs to Response Surface Methodology Plotting Effects from Fractional Factorials on Probability Paper Exercises
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This chapter contains sections titled: Blocking the 26 Design Fractionating the 26 Design Resolution of a 2k–p Factorial Design Construction of 2k–p Designs of Resolution III and IV Combination of Designs from the Same Family Screening, Using 2k–p Designs (Involving Projections to Lower Dimensions) Complete Factorials Within Fractional Factorial Designs Plackett and Burman Designs for n = 12 to 60 (but not 52) Screening, Using Plackett and Burman Designs (Involving Projections to Lower Dimensions) Efficient Estimation of Main Effects and Two-Factor Interactions Using Relatively Small Two-Level Designs Designs of Resolution V and of Higher Resolution Application of Fractional Factorial Designs to Response Surface Methodology Plotting Effects from Fractional Factorials on Probability Paper Exercises
Key concepts: Plackett–Burman design, Fractional factorial design, Factorial experiment, Mathematics, Resolution (logic), Blocking (statistics), Factorial, Design of experiments