The mean and standard deviation of data, some of which are below the detection limit: An introduction to maximum likelihood estimation
Kuttatharmmakul, S., Smeyers-Verbeke, J., Massart, D.L., Coomans, D., and Noack, S. (2000) The mean and standard deviation of data, some of which are below the detection limit: An introduction to maximum likelihood estimation. Trends in Analytical Chemistry, 19 (4). pp. 215-222.
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In this article, the principle of maximum likelihood estimation (MLE) is introduced. It is illustrated by an application of the maximum likelihood method for the estimation of the mean and standard deviation of a single censored data set. This is a data set for which some data are only known to be below a lower limit (left-censored) or above an upper limit. An example of the determination of an impurity in a raw material, where the measurements are carried out around the detection limit and some fall below it, is given to illustrate the application of MLE to a single censored data set.
|Item Type:||Article (UNSPECIFIED)|
|Keywords:||Maximum likelihood estimation, Censored data, Detection limit|
© 2000 Elsevier. : This journal is available online - use hypertext links above.
|Date Deposited:||06 Oct 2006|
|FoR Codes:||03 CHEMICAL SCIENCES > 0301 Analytical Chemistry > 030106 Quality Assurance, Chemometrics, Traceability and Metrological Chemistry @ 100%|
|SEO Codes:||97 EXPANDING KNOWLEDGE @ 100%|