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- W2244083721 abstract "We consider estimation of the precision of a measuring instrument without the benefit of replicate observations on heterogeneous sampling units. Grubbs (1948) proposed an estimator which involves the use of two additional measuring instruments, resulting in a triple of observations on each sampling unit. Since the precisions of the measuring instruments are generally different, these observations cannot be treated as replicates. Very large sample sizes are often required if the standard error of the estimate is to be within reasonable bounds and if negative precision estimates are to be avoided. The Grubbs estimator is not the maximum likelihood estimator (MLE). We show that the efficiency of the Grubbs estimator relative to the MLE is determined largely by the extent of sampling unit heterogeneity. Our results are presented in the context of the evaluation of on-line analysers. Two data sets from actual analyser evaluations are used to illustrate the results." @default.
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- W2244083721 date "2012-01-01" @default.
- W2244083721 modified "2023-09-23" @default.
- W2244083721 title "Some remarks on the Grubbs estimator : theory and methods" @default.
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