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Virtual Journal for Biomedical Optics

Virtual Journal for Biomedical Optics


  • Editor: Gregory W. Faris
  • Vol. 4, Iss. 12 — Nov. 10, 2009

χ2 analysis for estimating the accuracy of optical properties derived from time resolved diffuse-reflectance

Laurent Guyon, Anabela da Silva, Anne Planat-Chrétien, Philippe Rizo, and Jean-Marc Dinten  »View Author Affiliations

Optics Express, Vol. 17, Issue 22, pp. 20521-20537 (2009)

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Weighted residuals and the reduced χ2R2) value are investigated with regard to their relevance for assessing optical property estimates using the diffusion equation for time-resolved measurements in turbid media. It is shown and explained, for all photon counting experiments including lifetime estimation, why χR2 increases linearly with the number of photons when there is a model bias. Only when a sufficient number of photons has been acquired, χR2 is a pertinent value for assessing the accuracy of μa and μs' estimates. It was concluded that χR2 is of particular interest for cases of small interfiber separation, low-level scattering, strong absorption and incorrect measurement of instrument response function. It was also found that χR2 is less pertinent for judging μa in case of air boundary effects.

© 2009 OSA

OCIS Codes
(290.7050) Scattering : Turbid media
(170.6935) Medical optics and biotechnology : Tissue characterization

ToC Category:

Original Manuscript: June 12, 2009
Revised Manuscript: September 4, 2009
Manuscript Accepted: September 7, 2009
Published: October 23, 2009

Virtual Issues
Vol. 4, Iss. 12 Virtual Journal for Biomedical Optics

Laurent Guyon, Anabela da Silva, Anne Planat-Chrétien, Philippe Rizo, and Jean-Marc Dinten, "χ2 analysis for estimating the accuracy of optical properties derived from time resolved diffuse-reflectance," Opt. Express 17, 20521-20537 (2009)

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