Response Surface Methodology Using Split-Plot Definitive Screening Designs

Abstract

Definitive screening designs are a new class of three-level designs. We investigate the performance of definitive screening designs in split-plot structures for one-step response surface methodology. The result of the projection eligibility and the study of D-efficiency and I-efficiency show that split-plot definitive screening designs perform well when the number of important factors is small. To reduce the risk of being unable to fit second-order models for response surfaces, we provide the column indexes of projections. Experimenters can assign potentially important factors to those columns to avoid ineligible projections. An example is presented to demonstrate how to analyze data for response surface methodology using the split-plot definitive screening design.

• Central Composite Design
• D-Efficiency
• Eligible Projection
• Equivalent-Estimation Design
• Generalized Least Squares
• I-Efficiency
• Ordinary Least Squares
• Orthogonal Array
• Second-Order Model

Additional information

Notes on contributors

Chang-Yun Lin

Dr. Lin is Professor in the Department of Applied Mathematics and Institute of Statistics. He is the corresponding author. His email address is [email protected].

Po Yang

Dr. Yang is Professor in the Department of Statistics. Her email address is [email protected].