### Abstract

The ideal-observer performance, as measured by the area under the receiver's operating characteristic curve, is computed for six examples of signal-detection tasks. Exact values for this quantity, as well as approximations based on the signal-to-noise ratio of the log likelihood and the likelihood-generating function, are found. The noise models considered are normal, exponential, Poisson, and two-sided exponential. The signal may affect the mean or the variance in each case. It is found that the approximation from the likelihood-generating function tracks well with the exact area, whereas the log-likelihood signal-to-noise approximation can fail badly. The signal-to-noise ratio of the likelihood ratio itself is also computed for each example to demonstrate that it is not a good measure of ideal-observer performance.

Original language | English (US) |
---|---|

Pages (from-to) | 1783-1793 |

Number of pages | 11 |

Journal | Applied Optics |

Volume | 39 |

Issue number | 11 |

State | Published - Apr 10 2000 |

### Fingerprint

### ASJC Scopus subject areas

- Atomic and Molecular Physics, and Optics

### Cite this

*Applied Optics*,

*39*(11), 1783-1793.

**Approximations to ideal-observer performance on signal-detection tasks.** / Clarkson, Eric W; Barrett, Harrison H.

Research output: Contribution to journal › Article

*Applied Optics*, vol. 39, no. 11, pp. 1783-1793.

}

TY - JOUR

T1 - Approximations to ideal-observer performance on signal-detection tasks

AU - Clarkson, Eric W

AU - Barrett, Harrison H

PY - 2000/4/10

Y1 - 2000/4/10

N2 - The ideal-observer performance, as measured by the area under the receiver's operating characteristic curve, is computed for six examples of signal-detection tasks. Exact values for this quantity, as well as approximations based on the signal-to-noise ratio of the log likelihood and the likelihood-generating function, are found. The noise models considered are normal, exponential, Poisson, and two-sided exponential. The signal may affect the mean or the variance in each case. It is found that the approximation from the likelihood-generating function tracks well with the exact area, whereas the log-likelihood signal-to-noise approximation can fail badly. The signal-to-noise ratio of the likelihood ratio itself is also computed for each example to demonstrate that it is not a good measure of ideal-observer performance.

AB - The ideal-observer performance, as measured by the area under the receiver's operating characteristic curve, is computed for six examples of signal-detection tasks. Exact values for this quantity, as well as approximations based on the signal-to-noise ratio of the log likelihood and the likelihood-generating function, are found. The noise models considered are normal, exponential, Poisson, and two-sided exponential. The signal may affect the mean or the variance in each case. It is found that the approximation from the likelihood-generating function tracks well with the exact area, whereas the log-likelihood signal-to-noise approximation can fail badly. The signal-to-noise ratio of the likelihood ratio itself is also computed for each example to demonstrate that it is not a good measure of ideal-observer performance.

UR - http://www.scopus.com/inward/record.url?scp=0003844860&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0003844860&partnerID=8YFLogxK

M3 - Article

C2 - 18345075

AN - SCOPUS:0003844860

VL - 39

SP - 1783

EP - 1793

JO - Applied Optics

JF - Applied Optics

SN - 1559-128X

IS - 11

ER -