Forkman, Johannes
(2008).
Optimal calibration in immunoassay and inference on the coefficient of variation.
Diss. (sammanfattning/summary)
Uppsala :
Sveriges lantbruksuniv.,
Acta Universitatis Agriculturae Sueciae, 16526880
; 2008:80
ISBN 9789186195137
[Doctoral thesis]

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Abstract
This thesis examines and develops statistical methods for design and analysis with applications in immunoassay and other analytical techniques. In immunoassay, concentrations of components in clinical samples are measured using antibodies. The responses obtained are related to the concentrations in the samples. The relationship between response and concentration is established by fitting a calibration curve to responses of samples with known concentrations, called calibrators or standards. The concentrations in the clinical samples are estimated, through the calibration curve, by inverse prediction. The optimal choice of calibrator concentrations is dependent on the true relationship between response and concentration. A locally optimal design is conditioned on a given true relationship. This thesis presents a novel method that accounts for the variation in the true relationships by considering unconditional variances and expected values. For immunoassay, it is suggested that the average coefficient of variation in inverse predictions be minimised. In immunoassay, the coefficient of variation is the most common measure of variability. Several clinical samples or calibrators may share the same coefficient of variation, although they have different expected values. It is shown here that this phenomenon can be a consequence of a random variation in the dispensed volumes, and that inverse regression is appropriate when the random variation is in concentration rather than in response. An estimator of a common coefficient of variation that is shared by several clinical samples is proposed, and inferential methods are developed for common coefficients of variation in normally distributed data. These methods are based on McKay's chisquare approximation for the coefficient of variation. This study proves that McKay's approximation is noncentral beta distributed, and that it is asymptotically normal with mean n  1 and variance slightly smaller than 2(n  1).
Authors/Creators:  Forkman, Johannes  

Title:  Optimal calibration in immunoassay and inference on the coefficient of variation  
Year of publishing :  2008  
Volume:  2008:80  
Number of Pages:  61  
Papers/manuscripts: 
 
Place of Publication:  Uppsala  
ISBN for printed version:  9789186195137  
ISSN:  16526880  
Language:  English  
Publication Type:  Doctoral thesis  
Full Text Status:  Public  
Agrovoc terms:  immunological techniques, analytical methods, standardizing, statistical methods  
Keywords:  calibration, coefficient of variation, fourparameter logistic function, immunoassay, inverse prediction, inverse regression, McKay's approximation  
URN:NBN:  urn:nbn:se:slu:epsilon2585  
Permanent URL:  http://urn.kb.se/resolve?urn=urn:nbn:se:slu:epsilon2585  
ID Code:  1857  
Department:  (NL, NJ) > Dept. of Energy and Technology  
Deposited By:  Johannes Forkman  
Deposited On:  27 Oct 2008 00:00  
Metadata Last Modified:  02 Dec 2014 10:14 
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