HETEROSCEDASTIC CALIBRATION USING ANALYZED REFERENCE MATERIALS AS CALIBRATION STANDARDS
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The authors recently reported an approach to heteroscedastic calibration that yields multiple-use calibration estimates and confidence intervals. The first step is to obtain calibration data from standards, which provide both estimates of the instrument response and its variability over the concentration range of interest. Uncertainty bands over the calibrated range are constructed by combining the uncertainty interval for successive measurements of unknown samples and the calibration band uncertainty. Concentration estimates and confidence intervals for the unknowns can then be obtained. To combine this approach with the problem of errors in x, they apply adjustments to both the error model fit and the calibration curve fit. The matrices used in the calculations contain standards concentration data, error estimates for both y and x, the estimated calibration.
