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A restricted maximum likelihood procedure for estimating the variance function of an immunoassay. (English) Zbl 1145.62017
Summary: Restricted maximum likelihood (REML) is a procedure for estimating a variance function in a heteroscedastic linear model. Although REML has been extended to nonlinear models, the case in which the data are dominated by replicated observations with unknown values of the independent variable of interest, such as the concentration of a substance in a blood sample, has not been considered. We derive a REML procedure for an immunoassay and show that the resulting estimator is superior to those currently being used. Some interesting properties of the REML estimator are derived, and its relationship to other estimators is discussed.

MSC:
62F10 Point estimation
62N02 Estimation in survival analysis and censored data
62P10 Applications of statistics to biology and medical sciences; meta analysis
62J05 Linear regression; mixed models
92C50 Medical applications (general)
62H12 Estimation in multivariate analysis
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