Discrimination and goodness of fit of multiresponse mechanistic models

被引:78
作者
Stewart, WE
Shon, Y
Box, GEP
机构
[1] Univ Wisconsin, Dept Chem Engn, Madison, WI 53706 USA
[2] Univ Wisconsin, Ctr Qual & Prod Improvement, Madison, WI 53706 USA
关键词
D O I
10.1002/aic.690440618
中图分类号
TQ [化学工业];
学科分类号
0817 ;
摘要
Criteria are derived for objective choice among rival models of multiresponse processes. Formulas are given for the relative posterior probabilities of candidate models and for their goodness of fit as tested on a common data set with Normally distributed errors. The formulas are demonstrated with examples from chemical kinetics and catalysis.
引用
收藏
页码:1404 / 1412
页数:9
相关论文
共 48 条
[1]  
Abramowitz M., 1964, HDB MATH FUNCTIONS
[2]   NEW LOOK AT STATISTICAL-MODEL IDENTIFICATION [J].
AKAIKE, H .
IEEE TRANSACTIONS ON AUTOMATIC CONTROL, 1974, AC19 (06) :716-723
[3]  
Aris R., 1965, Introduction to the Analysis of Chemical Reactors
[4]  
Bayes T., 1763, PHILOS T R SOC LOND, V53, P370, DOI DOI 10.1098/RSTL.1763.0053
[5]   A GENERAL STRATEGY FOR PARAMETER-ESTIMATION IN DIFFERENTIAL ALGEBRAIC SYSTEMS [J].
BILARDELLO, P ;
JOULIA, X ;
LELANN, JM ;
DELMAS, H ;
KOEHRET, B .
COMPUTERS & CHEMICAL ENGINEERING, 1993, 17 (5-6) :517-525
[6]  
BLAKEMORE JW, 1963, CHEM ENG PROGR S SER, V59, P14
[7]  
Box GE., 2011, BAYESIAN INFERENCE S
[8]   SOME PROBLEMS ASSOCIATED WITH ANALYSIS OF MULTIRESPONSE DATA [J].
BOX, GEP ;
HUNTER, WG ;
MACGREGOR, JF ;
ERJAVEC, J .
TECHNOMETRICS, 1973, 15 (01) :33-51
[9]   A GENERAL DISTRIBUTION THEORY FOR A CLASS OF LIKELIHOOD CRITERIA [J].
BOX, GEP .
BIOMETRIKA, 1949, 36 (3-4) :317-346
[10]   DESIGN OF EXPERIMENTS IN NON-LINEAR SITUATIONS [J].
BOX, GEP ;
LUCAS, HL .
BIOMETRIKA, 1959, 46 (1-2) :77-90