Confidence intervals on fit parameters derived from optical reflectance spectroscopy measurements

Arjen Amelink; Dominic J. Robinson; Henricus J. C. M. Sterenborg

doi:10.1117/1.2982523

1 September 2008 Confidence intervals on fit parameters derived from optical reflectance spectroscopy measurements

Arjen Amelink, Dominic J. Robinson, Henricus J. C. M. Sterenborg

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Journal of Biomedical Optics, Vol. 13, Issue 5, 054044 (September 2008). https://doi.org/10.1117/1.2982523

Abstract

We validate a simple method for determining the confidence intervals on fitted parameters derived from modeling optical reflectance spectroscopy measurements using synthetic datasets. The method estimates the parameter confidence intervals as the square roots of the diagonal elements of the covariance matrix, obtained by multiplying the inverse of the second derivative matrix of Χ² with respect to its free parameters by Χ²/v, with v the number of degrees of freedom. We show that this method yields correct confidence intervals as long as the model used to describe the data is correct. Imperfections in the fitting model introduces a bias in the fitted parameters that greatly exceeds the estimated confidence intervals. We investigate the use of various methods to identify and subsequently minimize the bias in the fitted parameters associated with incorrect modeling.

©(2008) Society of Photo-Optical Instrumentation Engineers (SPIE)

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Arjen Amelink, Dominic J. Robinson, and Henricus J. C. M. Sterenborg "Confidence intervals on fit parameters derived from optical reflectance spectroscopy measurements," Journal of Biomedical Optics 13(5), 054044 (1 September 2008). https://doi.org/10.1117/1.2982523

Published: 1 September 2008

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KEYWORDS

Absorption

Blood

Scattering

Error analysis

Data modeling

Reflectance spectroscopy

In vivo imaging

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