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

Elskens, M.
Croux, C.
Beernaert, H.
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Abstract

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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2002-07-01
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Peer reviewed scientific article
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ALL, association, at, Cadmium, Calibration, Correlation coefficient, Goodness of fit, IS, Lack-of-fit, Less, LEVEL, linear regression, MODEL, Quality, r, regression, Regression model, result, results, standards, Statistical, Test, tests, use, VALIDATION, values, variables, Yield
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