Approximating the test statistic distribution and ALROC in signal-detection tasks with signal location uncertainty

Fangfang Shen, Eric Clarkson

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Scopus citations

Abstract

In medical imaging, signal detection is one of the most important tasks. It is especially important to study detection tasks with signal location uncertainty. One way to evaluate system performance on such tasks is to compute the area under the localization-receiver operating characteristic (LROC) curve. In an LROC study, detecting a signal includes two steps. The first step is to compute a test statistic to determine whether the signal is present or absent. If the signal is present, the second step is to identify the location of the signal. We use the test statistic which maximizes the area under the LROC curve (ALROC). We attempt to capture the distribution of this ideal LROC test statistic with signal-absent data using the extreme value distribution. Some simulated test statistics are shown along with extreme value distributions to illustrate how well our approximation captures the characteristics of the ideal LROC test statistic. We further derive an approximation to the ideal ALROC using the extreme value distribution and compare it to the direct simulation of the ALROC. Using a different approach by defining a parameterized probability density function of the data, we are able to derive another approximation to the ideal ALROC for weak signals from a power series expansion in signal amplitude.

Original languageEnglish (US)
Title of host publicationMedical Imaging 2007
Subtitle of host publicationImage Perception, Observer Performance, and Technology Assessment
DOIs
StatePublished - Oct 15 2007
EventMedical Imaging 2007: Image Perception, Observer Performance, and Technology Assessment - San Diego, CA, United States
Duration: Feb 21 2007Feb 22 2007

Publication series

NameProgress in Biomedical Optics and Imaging - Proceedings of SPIE
Volume6515
ISSN (Print)1605-7422

Other

OtherMedical Imaging 2007: Image Perception, Observer Performance, and Technology Assessment
CountryUnited States
CitySan Diego, CA
Period2/21/072/22/07

Keywords

  • ALROC
  • Extreme value distribution
  • LROC
  • Location uncertainty
  • ROC
  • Signal detection
  • Test statistic

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Biomaterials
  • Atomic and Molecular Physics, and Optics
  • Radiology Nuclear Medicine and imaging

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  • Cite this

    Shen, F., & Clarkson, E. (2007). Approximating the test statistic distribution and ALROC in signal-detection tasks with signal location uncertainty. In Medical Imaging 2007: Image Perception, Observer Performance, and Technology Assessment [651510] (Progress in Biomedical Optics and Imaging - Proceedings of SPIE; Vol. 6515). https://doi.org/10.1117/12.708666