Determination of uncertainty in parameters extracted from single spectroscopic measurements
Name
Scepanovic-2007-Determination of uncertainty.pdf
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Author(s)
Scepanovic, Obrad R.
Bechtel, Kate L.
Haka, Abigail S.
Shih, Wei-Chuan
Koo, Tae-Woong
Berger, Andrew J.
Feld, Michael S.
Date Issued
November 2007
Journal
Journal of Biomedical Optics
Publisher
SPIE
Citation
Scepanovic, Obrad R., Kate L. Bechtel, Abigail S. Haka, Wei-Chuan Shih, Tae-Woong Koo, Andrew J. Berger, and Michael S. Feld. “Determination of Uncertainty in Parameters Extracted from Single Spectroscopic Measurements.” Journal of Biomedical Optics 12, no. 6 (2007): 064012. © 2007 Society of Photo-Optical Instrumentation Engineers
Version
Final published version
Abstract
The ability to quantify uncertainty in information extracted from spectroscopic measurements is important in numerous fields. The traditional approach of repetitive measurements may be impractical or impossible in some measurements scenarios, while chi-squared analysis does not provide insight into the sources of uncertainty. As such, a need exists for analytical expressions for estimating uncertainty and, by extension, minimum detectable concentrations or diagnostic parameters, that can be applied to a single noisy measurement. This work builds on established concepts from estimation theory, such as the Cramér-Rao lower bound on estimator covariance, to present an analytical formula for estimating uncertainty expressed as a simple function of measurement noise, signal strength, and spectral overlap. This formalism can be used to evaluate and improve instrument performance, particularly important for rapid-acquisition biomedical spectroscopy systems. We demonstrate the experimental utility of this expression in assessing concentration uncertainties from spectral measurements of aqueous solutions and diagnostic parameter uncertainties extracted from spectral measurements of human artery tissue. The measured uncertainty, calculated from many independent measurements, is found to be in good agreement with the analytical formula applied to a single spectrum. These results are intended to encourage the widespread use of uncertainty analysis in the biomedical optics community.
MIT Department
Massachusetts Institute of Technology. Department of Physics
Massachusetts Institute of Technology. Spectroscopy Laboratory
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Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.
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DOI of Published Version
https://doi.org/10.1117/1.2815692
