Evaluation of the linearity of calibration dependence

Dohnal, Ludek and Faigl, Paul (2007) Evaluation of the linearity of calibration dependence. In: Quality assurance of analytical results, 26-28 Mar 2007, (Beskydy), Czech Republic.


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An example of the determination of glucose by means of spectrophotometry is used to illustrate a very fundamental question: assuming there is a response of the instrument (here: maximum of absorbance or peak area) to a changed level of concentration of an analyte (sometimes also a term analate is used), is this response linear or not quite linear? The corollary questions are for example: what criteria can be used to evaluate (or assess) the degree of linearity? Would that functional dependence be valid over the whole range of analyte concentrations or, if not, what other mathematical alternatives are available to construct a model which will be giving more reliable results?
Using two sets of calibration data (each data set having 9 elements of concentration) and a regression equation of upto cubic order, three different models (linear, quadratic and cubic) were evaluated and their respective strengths and weaknesses discussed in detail.
Generally, it was found that the best regression for both sets of calibration data gives the quadratic model. For the first set, the linear model upto glucose concentration 33 mmol/l is also acceptable. For the second set, however, the linear model can be used only as a crude approximation due to residua, which are autocorrelated.
Although the results between the both sets are subtle, still care must be taken to apply models which give best results in terms of reliability over the concentration range of practical interest.

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Item Type: Conference or Workshop Item (Commonwealth Reporting Category E) (Paper)
Refereed: No
Item Status: Live Archive
Additional Information: Paul Faigl on paper
Faculty/School / Institute/Centre: Historic - Faculty of Engineering and Surveying - No Department (Up to 30 Jun 2013)
Faculty/School / Institute/Centre: Historic - Faculty of Engineering and Surveying - No Department (Up to 30 Jun 2013)
Date Deposited: 11 Oct 2007 01:21
Last Modified: 19 May 2021 22:55
Uncontrolled Keywords: calibration, correlation, regression analysis, statistical tests, Fisher-Snedocor test, Cook-Weisberg test, Jarque-Berra test, Wald test, sign test, statistical methods, glucose, spectrophotometry
Fields of Research (2008): 01 Mathematical Sciences > 0104 Statistics > 010401 Applied Statistics
06 Biological Sciences > 0601 Biochemistry and Cell Biology > 060101 Analytical Biochemistry
03 Chemical Sciences > 0301 Analytical Chemistry > 030106 Quality Assurance, Chemometrics, Traceability and Metrological Chemistry
Fields of Research (2020): 49 MATHEMATICAL SCIENCES > 4905 Statistics > 490501 Applied statistics
31 BIOLOGICAL SCIENCES > 3101 Biochemistry and cell biology > 310101 Analytical biochemistry
34 CHEMICAL SCIENCES > 3401 Analytical chemistry > 340107 Quality assurance, chemometrics, traceability and metrological chemistry
URI: http://eprints.usq.edu.au/id/eprint/3166

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