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Linearity of calibration curves: use and misuse of the correlation coefficient

Public Access

Published

Peer reviewed scientific article

DOI : http://dx.doi.org/10.1007/s00769-002-0487-6 [1]

Auteurs

Joris Van Loco [2]; M. Elskens [3]; Croux,C. [4]; Beernaert,H. [5]

Mots-clés

  1. ALL [6]
  2. association [7]
  3. at [8]
  4. Cadmium [9]
  5. Calibration [10]
  6. Correlation coefficient [11]
  7. Goodness of fit [12]
  8. IS [13]
  9. Lack-of-fit [14]
  10. Less [15]
  11. LEVEL [16]
  12. linear regression [17]
  13. MODEL [18]
  14. ON [19]
  15. Qualité [20]
  16. r [21]
  17. regression [22]
  18. Regression model [23]
  19. result [24]
  20. résultats [25]
  21. standards [26]
  22. Statistical [27]
  23. Tester [28]
  24. tests [29]
  25. use [30]
  26. VALIDATION [31]
  27. values [32]
  28. variables [33]
  29. Yield [34]

Résumé:

The correlation coefficient is commonly used to evaluate the degree of linear association between two variables. However, it can be shown that a correlation coefficient very close to one might also be obtained for a clear curved relationship. Other statistical tests, like the Lack-of-fit and Mandel’s fitting test thus appear more suitable for the validation of the linear calibration model. A number of cadmium calibration curves from atomic absorption spectroscopy were assessed for their linearity. All the investigated calibration curves were characterized by a high correlation coefficient (
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Résumé

The correlation coefficient is commonly used to evaluate the degree of linear association between two variables. However, it can be shown that a correlation coefficient very close to one might also be obtained for a clear curved relationship. Other statistical tests, like the Lack-of-fit and Mandel's fitting test thus appear more suitable for the validation of the linear calibration model. A number of cadmium calibration curves from atomic absorption spectroscopy were assessed for their linearity. All the investigated calibration curves were characterized by a high correlation coefficient (

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Source URL:https://www.sciensano.be/fr/biblio/linearity-calibration-curves-use-and-misuse-correlation-coefficient

Liens
[1] http://dx.doi.org/10.1007/s00769-002-0487-6 [2] https://www.sciensano.be/fr/people/joris-van-loco/biblio [3] https://www.sciensano.be/fr/biblio?f%5Bauthor%5D=25761&f%5Bsearch%5D=M.%20Elskens [4] https://www.sciensano.be/fr/biblio?f%5Bauthor%5D=28770&f%5Bsearch%5D=Croux%2CC. [5] https://www.sciensano.be/fr/biblio?f%5Bauthor%5D=24327&f%5Bsearch%5D=Beernaert%2CH. [6] https://www.sciensano.be/fr/biblio?f%5Bkeyword%5D=1572&f%5Bsearch%5D=ALL [7] https://www.sciensano.be/fr/biblio?f%5Bkeyword%5D=2250&f%5Bsearch%5D=association [8] https://www.sciensano.be/fr/biblio?f%5Bkeyword%5D=534&f%5Bsearch%5D=at [9] https://www.sciensano.be/fr/biblio?f%5Bkeyword%5D=4419&f%5Bsearch%5D=Cadmium [10] https://www.sciensano.be/fr/biblio?f%5Bkeyword%5D=5322&f%5Bsearch%5D=Calibration [11] https://www.sciensano.be/fr/biblio?f%5Bkeyword%5D=21447&f%5Bsearch%5D=Correlation%20coefficient [12] https://www.sciensano.be/fr/biblio?f%5Bkeyword%5D=23406&f%5Bsearch%5D=Goodness%20of%20fit [13] https://www.sciensano.be/fr/biblio?f%5Bkeyword%5D=525&f%5Bsearch%5D=IS [14] https://www.sciensano.be/fr/biblio?f%5Bkeyword%5D=24246&f%5Bsearch%5D=Lack-of-fit [15] https://www.sciensano.be/fr/biblio?f%5Bkeyword%5D=2445&f%5Bsearch%5D=Less [16] https://www.sciensano.be/fr/biblio?f%5Bkeyword%5D=654&f%5Bsearch%5D=LEVEL [17] https://www.sciensano.be/fr/biblio?f%5Bkeyword%5D=18729&f%5Bsearch%5D=linear%20regression [18] https://www.sciensano.be/fr/biblio?f%5Bkeyword%5D=657&f%5Bsearch%5D=MODEL [19] https://www.sciensano.be/fr/biblio?f%5Bkeyword%5D=912&f%5Bsearch%5D=ON [20] https://www.sciensano.be/fr/biblio?f%5Bkeyword%5D=1095&f%5Bsearch%5D=Qualit%C3%A9 [21] https://www.sciensano.be/fr/biblio?f%5Bkeyword%5D=2838&f%5Bsearch%5D=r [22] https://www.sciensano.be/fr/biblio?f%5Bkeyword%5D=3330&f%5Bsearch%5D=regression [23] https://www.sciensano.be/fr/biblio?f%5Bkeyword%5D=4401&f%5Bsearch%5D=Regression%20model [24] https://www.sciensano.be/fr/biblio?f%5Bkeyword%5D=1098&f%5Bsearch%5D=result [25] https://www.sciensano.be/fr/biblio?f%5Bkeyword%5D=1101&f%5Bsearch%5D=r%C3%A9sultats [26] https://www.sciensano.be/fr/biblio?f%5Bkeyword%5D=2403&f%5Bsearch%5D=standards [27] https://www.sciensano.be/fr/biblio?f%5Bkeyword%5D=5013&f%5Bsearch%5D=Statistical [28] https://www.sciensano.be/fr/biblio?f%5Bkeyword%5D=936&f%5Bsearch%5D=Tester [29] https://www.sciensano.be/fr/biblio?f%5Bkeyword%5D=2220&f%5Bsearch%5D=tests [30] https://www.sciensano.be/fr/biblio?f%5Bkeyword%5D=567&f%5Bsearch%5D=use [31] https://www.sciensano.be/fr/biblio?f%5Bkeyword%5D=1725&f%5Bsearch%5D=VALIDATION [32] https://www.sciensano.be/fr/biblio?f%5Bkeyword%5D=2406&f%5Bsearch%5D=values [33] https://www.sciensano.be/fr/biblio?f%5Bkeyword%5D=1245&f%5Bsearch%5D=variables [34] https://www.sciensano.be/fr/biblio?f%5Bkeyword%5D=1536&f%5Bsearch%5D=Yield