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Optimal split-plot order-of-addition designs
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AI
DOI：10.1080/08982112.2026.2625210.png)
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Abstract
En 中文
This study presents a comprehensive framework for designing and evaluating split-plot order-of-addition (SP-OofA) experiments. The proposed method aims to develop D-optimal SP-OofA designs to maximize the efficiency of estimating both whole-plot and subplot effects. We introduce a systematic algorithm that incorporates a point-exchange method to iteratively refine the design, ultimately identifying the D-optimal design. Through an example in pharmaceutical formulation, the D-optimal SP-OofA design achieved an improvement of nearly 50% in D-efficiency compared to the original design. A simulation study further demonstrates the superiority of D-optimal SP-OofA designs in terms of statistical power and design efficiency. This research contributes to the methodology of OofA experiments with split-plot structures, providing a practical solution for high-efficiency experimental design in fields, such as pharmaceuticals, material science, and manufacturing.
Keywords:
D-efficiency
order-of-addition
sensitivity analysis
simulation study
split-plot
Journal
Q
IF:
2.2
Papers:
40
Citations:
1.4K