A Method for Designing Nonlinear Univariate Calibration

Sammanfattning

A method is proposed for designing nonlinear univariate calibration of measuring instruments. The problem addressed is how to select a set of design points (standards or calibrators) to minimize the errors in the inverse predictions. The Curve parameters are assumed to vary randomly between calibrations, with known expected value and known covariance matrix. A design criterion is suggested for analytical procedures, according to which the coefficient of variation and the area under the precision profile are minimized.

Nyckelord

Dose-response; Four-parameter logistic function; Inverse prediction; Michaelis-Menten function; Nonlinear regression; Optimal design

Publicerad i

Technometrics
2008, volym: 50, nummer: 4, sidor: 479-486
Utgivare: American Statistical Association

SLU författare

• Forkman, Johannes

  • Institutionen för energi och teknik, Sveriges lantbruksuniversitet
    

UKÄ forskningsämne

Sannolikhetsteori och statistik

Publikationens identifierare

• DOI: https://doi.org/10.1198/004017008000000127

Permanent länk till denna sida (URI)

https://res.slu.se/id/publ/24683