在响应曲面方法中三类中心复合设计的比较研究

A comparative study of three central composite designs in response surface methodology

对响应曲面方法中最重要的三类中心复合设计(CCDs)-外切中心复合设计(CCC)、嵌套中心复合设计(CCI)和面心立方设计(CCF)进行了比较研究。首先论述了CCDs中的关键概念并分析了CCC、CCI和CCF的特点,进而探讨了评价CCDs的准则,而后通过模拟分别从设计域和设计的稳健性方面对这三类设计进行了评价比较,从而将为实践应用提供更好的指导。

This paper presents a comparative study of three important Central Composite Designs（CCDs） which including Central Composite Circumscribed design（CCC）,Central Composite Inscribed design（CCI） and Central Composite Face - centered design（CCF） in Response Surface Methodology. Characteristics of the three designs were analyzed and guide lines were provided with some key concepts about CCDs. Then we evaluate and compare CCC, CCI and CCF from the view of design region and robustness through simulation. This study will provide better guidance for the applications of CCDs.