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Construction of Minimal-Point Mixed-Level Screening Designs Using Conference Matrices

Summary: Screening designs are frequently used to identify active effects from a large number of factors. Small size designs are preferred when the experiments are costly. Two-level or three-level minimal-point screening designs have been well studied in the literature. However, minimal-point mixed-level designs have not been thoroughly explored. In this paper, a new class of minimal-point mixed-level designs is constructed using conference matrices. The constructed designs can be used to estimate the main effects and quadratic effects with a good performance of D-efficiency and variance of estimates.

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  • Topics: Statistics
  • Keywords: Screening, D-efficiency, Main effects, Mixed-level designs, Orthogonal array (OA), Maximal determinant matrix, Quadratic effect
  • Author: Yang, Jinyu; Lin, Dennis K.J.; Liu, Min-Qian;
  • Journal: Journal of Quality Technology