A nonlinear approach to linear calibration intervals

Journal of Quality Technology, January, 2002 by Spiegelman, Cliff; Schechtman, Edna

We show that a nonlinear approach to single use calibration curves gives reasonable intervals. The nonlinear approach produces intervals even when the classical approach fails to do so. The intervals obtained with the nonlinear approach are always slightly shorter, but the coverage rate remains reasonable, as demonstrated in our simulations. The advantages of the nonlinear approach are that intervals are centered at the maximum likelihood estimator (MLE) and that they can be obtained using any standard statistical package which contains nonlinear regression methods.

Acknowledgments

We wish to thank John Wikander for producing the figures. This work was partially supported by ANRC, the NSF statistics and chemistry divisions, and the BGU Paul Ivanier Center for Robotics...