基于FDS准则的响应曲面设计预测能力比较  

FDS Criterion-based Prediction Ability Comparison of Response Surface Design

作　　者：周祥[1] 陈雪平 严静 林金官[3] Zhou Xiang;Chen Xueping;Yan Jing;Lin Jinguan(Office of Teaching Affairs,Jiangsu Union Technical Institute,Soochow Jiangsu 215000,China;School of Mathematics and Physics,Jiangsu University of Technology,Changzhou Jiangsu 213001,China;School of Statistics and Data Science,Nanjing Audit University,Nanjing 211815,China)

机构地区：[1]苏州高等职业技术学校(江苏联合职业技术学院苏州分院)教务处,江苏苏州215000 [2]江苏理工学院数理学院,江苏常州213001 [3]南京审计大学统计与数据科学学院,南京211815

出　　处：《统计与决策》2024年第2期41-45,共5页Statistics & Decision

基　　金：国家自然科学基金资助项目(11971204);江苏省自然科学基金资助项目(BK20200108);江苏理工学院中吴青年创新人才支持计划(江理人工[2021]137号)。

摘　　要：预测能力是实际应用工作者评价设计优劣的重要准则之一,一般地,通过方差散布图可以对一个固定球面上的设计预测能力进行比较和选择,但无法获得对整个设计区域上的比较结果。文章介绍了基于正交表的响应曲面设计(OACD)以及基于极小极大准则的改进设计(OACM),并应用全区域预测方差占比准则——FDS准则对这两类中心组合设计进行预测能力的比较。结果表明,在一个较小方差范围内,OACD得到的FDS结果要优于OACM,而对于大部分给定方差值,OACM的FDS结果要优于OACD。Prediction ability is an important criterion for practical application workers to evaluate the quality of a design.In general,the design prediction ability of a fixed sphere can be compared and selected by means of the variogram,but the comparison results on the whole design area cannot be obtained.This paper first introduces response surface design(OACD)based on orthogonal array and the modified design based on minimax criterion(OACM),and then compares the prediction ability between these two kinds of central combined designs by using the whole region prediction variance ratio criterion—FDS criterion.The results show that in a small variance range,the FDS obtained by OACD is better than that of OACM,but for most given variance values,the FDS of OACM is better than that of OACD.

关 键 词：试验设计 最优设计 正交设计 FDS准则 

分 类 号：O212.6[理学—概率论与数理统计] TP391[理学—数学]