Abstract
We show that the classical calibration method ([1]) is a special case of the parallel fitting method ([2]) and that the design for classical calibration is a component of the design for parallel fitting. This relationship between the calibration methods motivates extending the optimal designs for classical calibration to designs for parallel fitting. The extension involves restricting the classical calibration design component in the design for parallel fitting to an optimal design for classical calibration and then optimizing the choice of the remaining components of the design for parallel fitting. A comparison of the calibration methods at their respective optimal designs shows that the parallel fitting method is more robust and more efficient for estimation than the classical calibration. A simulation study shows that the asymptotic designs for calibration are also effective for estimation in small sample calibration problems.
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