Inverse calibration predicts better than classical calibration

被引:38
作者
Centner, V
Massart, DL
de Jong, S
机构
[1] Free Univ Brussels, ChemoAC, B-1090 Brussels, Belgium
[2] Unilever Res Labs Vlaardingen, NL-3130 AC Vlaardingen, Netherlands
来源
FRESENIUS JOURNAL OF ANALYTICAL CHEMISTRY | 1998年 / 361卷 / 01期
关键词
D O I
10.1007/s002160050825
中图分类号
O65 [分析化学];
学科分类号
070302 ; 081704 ;
摘要
The study shows that in the classical calibration situation inverse calibration, i.e. concentration = f(measurement) yields more reliable predictions than classical calibration, i.e. measurement = f(concentration). The theoretical proof is verified by Monte Carlo simulations and by two practical examples. The improvement due to the use of inverse calibration increases with decreasing precision of the measurements.
引用
收藏
页码:2 / 9
页数:8
相关论文
共 23 条
[1]  
[Anonymous], 1981, Statistical Tables
[2]  
[Anonymous], 1989, MULTIVARIATE CALIBRA
[3]   A COMPUTATIONAL EXAMINATION OF ORTHOGONAL DISTANCE REGRESSION [J].
BOGGS, PT ;
SPIEGELMAN, CH ;
DONALDSON, JR ;
SCHNABEL, RB .
JOURNAL OF ECONOMETRICS, 1988, 38 (1-2) :169-201
[4]   THE EFFECT OF IGNORING SMALL MEASUREMENT ERRORS IN PRECISION INSTRUMENT CALIBRATION [J].
CARROLL, RJ ;
SPIEGELMAN, CH .
JOURNAL OF QUALITY TECHNOLOGY, 1986, 18 (03) :170-173
[5]   Elimination of uninformative variables for multivariate calibration [J].
Centner, V ;
Massart, DL ;
deNoord, OE ;
deJong, S ;
Vandeginste, BM ;
Sterna, C .
ANALYTICAL CHEMISTRY, 1996, 68 (21) :3851-3858
[6]  
Cook R. D., 1982, RESIDUALS INFLUENCE
[7]   EFFECT OF ERRORS IN INDEPENDENT VARIABLES IN LINEAR-REGRESSION [J].
DAVIES, RB ;
HUTTON, B .
BIOMETRIKA, 1975, 62 (02) :383-391
[8]  
Draper N. R., 1966, APPL REGRESSION ANAL
[9]   RANDOM ERROR BIAS IN PRINCIPAL COMPONENT ANALYSIS .2. APPLICATION OF THEORETICAL PREDICTIONS TO MULTIVARIATE PROBLEMS [J].
FABER, NM ;
MEINDERS, MJ ;
GELADI, P ;
SJOSTROM, M ;
BUYDENS, LMC ;
KATEMAN, G .
ANALYTICA CHIMICA ACTA, 1995, 304 (03) :273-283
[10]  
FEARN T, 1992, ELLIS HOR S, P61