Controlling uncertainty in calibration

被引：12

作者：

Bremser, W

Hasselbarth, W

机构：

来源：

ANALYTICA CHIMICA ACTA | 1997年 / 348卷 / 1-3期

关键词：

calibration; weighted regression; uncertainty propagation;

D O I：

10.1016/S0003-2670(97)00205-5

中图分类号：

O65 [分析化学];

学科分类号：

070302 ; 081704 ;

摘要：

A rigorous error-in-both variables procedure for linear and nonlinear curve fitting is described, including determination of the variance/covariance matrix of the fitted parameters. The curve parameters are determined by regression according to the maximum-likelihood functional relationship approach. The variance/covariance matrix is calculated by uncertainty propagation from the variances and covariances of the calibration data.

引用

收藏

页码：61 / 69

页数：9

相关论文

共 10 条

[1] SOME OBSERVATIONS ON FITTING A STRAIGHT-LINE TO DATA [J].

ASUERO, AG ;

GONZALEZ, AG .

MICROCHEMICAL JOURNAL, 1989, 40 (02) :216-225

[2]

DEMING WE, 1946, STATISTICAL ADJUSTME

[3]

*DIN, 1985, 13194 DIN

[4]

International Organization for Standardization, 1993, GUID EXPR UNC MEAS

[5] MULTIPLE STRAIGHT-LINE LEAST-SQUARES ANALYSIS WITH UNCERTAINTIES IN ALL VARIABLES [J].

LISY, JM ;

CHOLVADOVA, A ;

KUTEJ, J .

COMPUTERS & CHEMISTRY, 1990, 14 (03) :189-192

[6] POLYNOMIAL (LINEAR IN PARAMETERS) LEAST-SQUARES ANALYSIS WHEN ALL EXPERIMENTAL-DATA ARE SUBJECT TO RANDOM ERRORS [J].

LISY, JM ;

CHOLVADOVA, A ;

DROBNA, B .

COMPUTERS & CHEMISTRY, 1991, 15 (02) :135-141

[7] A BETTER LEAST-SQUARES METHOD WHEN BOTH VARIABLES HAVE UNCERTAINTIES [J].

LYBANON, M .

AMERICAN JOURNAL OF PHYSICS, 1984, 52 (01) :22-26

[8] REGRESSION TECHNIQUES FOR THE DETECTION OF ANALYTICAL BIAS [J].

RIPLEY, BD ;

THOMPSON, M .

ANALYST, 1987, 112 (04) :377-383

[9] Assessing the accuracy of analytical methods using linear regression with errors in both axes [J].

Riu, J ;

Rius, FX .

ANALYTICAL CHEMISTRY, 1996, 68 (11) :1851-1857

[10] FITTING DATA TO NONLINEAR FUNCTIONS WITH UNCERTAINTIES IN ALL MEASUREMENT VARIABLES [J].

SOUTHWELL, WH .

COMPUTER JOURNAL, 1976, 19 (01) :69-73