Confidence intervals for nonlinear regression procedures

Michael L. Johnson; Martin Straume

doi:10.1117/12.237639

1 April 1996 Confidence intervals for nonlinear regression procedures

Michael L. Johnson, Martin Straume

Proceedings Volume 2680, Ultrasensitive Biochemical Diagnostics; (1996) https://doi.org/10.1117/12.237639
Event: Photonics West '96, 1996, San Jose, CA, United States

Abstract

There is no closed form method for the evaluation of the precision of parameter estimates for nonlinear regression problems. There are, however, a number of approximate methods which require different restrictive assumptions and require different amounts of computer time. While none of these estimates are exactly correct, some provide substantially better results than others. This work discusses some of these methods with specific application to frequency domain fluorescence lifetime measurements. A significant conclusion being that the commonly used asymptotic standard errors do not provide reasonable estimates of the precision of parameter values for nonlinear regression problems.

Citation Download Citation

Michael L. Johnson and Martin Straume "Confidence intervals for nonlinear regression procedures", Proc. SPIE 2680, Ultrasensitive Biochemical Diagnostics, (1 April 1996); https://doi.org/10.1117/12.237639

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