An overview of the use of generalized linear models in response surface methodology

被引:19
作者
Khuri, AI [1 ]
机构
[1] Univ Florida, Dept Stat, Gainesville, FL 32611 USA
关键词
designs for generalized linear models; discrete distributions; optimal designs; optimization; response surface designs;
D O I
10.1016/S0362-546X(01)00330-3
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Modern applications of response surface methodology (RSM) encounter experimental situations where the traditional assumptions concerning the error distribution and the form of the fitted model are not necessarily valid. Generalized linear models (GLMs) are more suited to deal with such situations. The purpose of this article is to provide an overview of the use of GLMs in RSM, particularly in the design area as well as in the determination of optimum conditions.
引用
收藏
页码:2023 / 2034
页数:12
相关论文
共 19 条
[1]  
Atkinson A. C., 1996, Handbook of Statistics, P437, DOI DOI 10.1016/S0169-7161(96)13016-9
[2]  
Box G, 1987, EMPIRICAL MODEL BUIL
[3]  
BOX GEP, 1959, J AM STAT ASSOC, V54, P622
[4]   ON THE EXPERIMENTAL ATTAINMENT OF OPTIMUM CONDITIONS [J].
BOX, GEP ;
WILSON, KB .
JOURNAL OF THE ROYAL STATISTICAL SOCIETY SERIES B-STATISTICAL METHODOLOGY, 1951, 13 (01) :1-45
[5]   CHOICE OF A SECOND ORDER ROTATABLE DESIGN [J].
BOX, GEP ;
DRAPER, NR .
BIOMETRIKA, 1963, 50 (3-4) :335-&
[6]   OPTIMAL BAYESIAN DESIGN APPLIED TO LOGISTIC-REGRESSION EXPERIMENTS [J].
CHALONER, K ;
LARNTZ, K .
JOURNAL OF STATISTICAL PLANNING AND INFERENCE, 1989, 21 (02) :191-208
[7]  
Khuri A., 1993, J COMB INF SYST SCI, V18
[8]   MODIFIED RIDGE ANALYSIS [J].
KHURI, AI ;
MYERS, RH .
TECHNOMETRICS, 1979, 21 (04) :467-473
[9]  
KHURI AI, 1996, RESPONSE SURFACES
[10]  
Kiefer J, 1960, Canadian Journal of Mathematics, V12, P363, DOI [10.4153/CJM-1960-030-4, DOI 10.4153/CJM-1960-030-4]