skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: A Critical Examination of Figure of Merit (FOM). Assessing the Goodness-of-Fit in Gamma/X-ray Peak Analysis

Abstract

In this paper we develop and investigate several criteria for assessing how well a proposed spectral form fits observed spectra. We consider the classical improved figure of merit (FOM) along with several modifications, as well as criteria motivated by Poisson regression from the statistical literature. We also develop a new FOM that is based on the statistical idea of the bootstrap. A spectral simulator has been developed to assess the performance of these different criteria under multiple data configurations.

Authors:
 [1];  [2];  [2];  [2];  [3];  [2];  [1]
  1. Oak Ridge National Lab. (ORNL), Oak Ridge, TN (United States)
  2. Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
  3. Los Alamos National Lab. (LANL), Los Alamos, NM (United States); International Atomic Energy Agency, Vienna (Austria)
Publication Date:
Research Org.:
Los Alamos National Lab. (LANL), Los Alamos, NM (United States)
Sponsoring Org.:
USDOE
OSTI Identifier:
1222690
Report Number(s):
LA-UR-15-27783
DOE Contract Number:
AC52-06NA25396
Resource Type:
Technical Report
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS AND COMPUTING; 98 NUCLEAR DISARMAMENT, SAFEGUARDS, AND PHYSICAL PROTECTION; gamma spectroscopy; peak deconvolution; thermoluminescence CGCD; Poisson regression; bootstrap

Citation Formats

Croft, S., Favalli, Andrea, Weaver, Brian Phillip, Williams, Brian J., Burr, Thomas Lee, Henzlova, Daniela, and McElroy, R. D.. A Critical Examination of Figure of Merit (FOM). Assessing the Goodness-of-Fit in Gamma/X-ray Peak Analysis. United States: N. p., 2015. Web. doi:10.2172/1222690.
Croft, S., Favalli, Andrea, Weaver, Brian Phillip, Williams, Brian J., Burr, Thomas Lee, Henzlova, Daniela, & McElroy, R. D.. A Critical Examination of Figure of Merit (FOM). Assessing the Goodness-of-Fit in Gamma/X-ray Peak Analysis. United States. doi:10.2172/1222690.
Croft, S., Favalli, Andrea, Weaver, Brian Phillip, Williams, Brian J., Burr, Thomas Lee, Henzlova, Daniela, and McElroy, R. D.. Tue . "A Critical Examination of Figure of Merit (FOM). Assessing the Goodness-of-Fit in Gamma/X-ray Peak Analysis". United States. doi:10.2172/1222690. https://www.osti.gov/servlets/purl/1222690.
@article{osti_1222690,
title = {A Critical Examination of Figure of Merit (FOM). Assessing the Goodness-of-Fit in Gamma/X-ray Peak Analysis},
author = {Croft, S. and Favalli, Andrea and Weaver, Brian Phillip and Williams, Brian J. and Burr, Thomas Lee and Henzlova, Daniela and McElroy, R. D.},
abstractNote = {In this paper we develop and investigate several criteria for assessing how well a proposed spectral form fits observed spectra. We consider the classical improved figure of merit (FOM) along with several modifications, as well as criteria motivated by Poisson regression from the statistical literature. We also develop a new FOM that is based on the statistical idea of the bootstrap. A spectral simulator has been developed to assess the performance of these different criteria under multiple data configurations.},
doi = {10.2172/1222690},
journal = {},
number = ,
volume = ,
place = {United States},
year = {Tue Oct 06 00:00:00 EDT 2015},
month = {Tue Oct 06 00:00:00 EDT 2015}
}

Technical Report:

Save / Share:
  • The computer program FREQFIT is designed to perform regression and statistical chi-squared goodness of fit analysis on one-dimensional or two-dimensional data. The program features an interactive user dialogue, numerous help messages, an option for screen or line printer output, and the flexibility to use practically any commercially available graphics package to create plots of the program`s results. FREQFIT is written in Microsoft QuickBASIC, for IBM-PC compatible computers. A listing of the QuickBASIC source code for the FREQFIT program, a user manual, and sample input data, output, and plots are included. 6 refs., 1 fig.
  • Ten systems potentially applicable to the processing of TRU wastes at INEL were evaluated. The three candidates found to be superior to the rest were: (1) a system with two parallel slagging pyrolysis incinerators, each with a capacity of about 70,000 kg/d (kilograms per day), (2) a system with a single slagging pyrolysis incinerator with a capacity of 200,000 kg/d, and (3) a system with an indirect-fired rotary kiln incinerator. The differences in performance evaluations among the top three systems were minor, and the preliminary design work on each of the three should continue. For use in this final choice,more » the preparation of a preliminary safety analysis review (PSAR) should begin immediately. Because of a general lack of radwaste processing experience and a total lack at the scale necessary at INEL, a substantial research and development program is necessary no matter which type of incinerator system is ultimately selected. Since the choice of a processing system could easily be altered by more reliable information, the construction and operation of a pilot plant is recommended for generating more data, not only for the final design of the facility at INEL but also for improving the body of knowledge in radwaste processing. In addition to the need for demonstrated technology, four constraints weigh heavily on the processing problem at INEL. One is that the waste acceptance criteria for the Waste Isolation Pilot Plant have not been finalized. Another constraint is that with current technology there is no way to assay the TRU material in the waste at the levels and rates required. A third constraint is that the processing of all waste with a contamination level as low as 10 nCi/g is unrealistic in the judgment of the task force. The fourth constraint is that no decision has been made as to whether the facility construction must meet DOE Manual Chapter 6301, Part I or Part II.« less
  • Crystal orientation in a polycrystalline material determines the characteristics of the material. When a material is deformed, a specific crystallographic orientation of the grains with respect to the deformation direction becomes predominant. A technique used to determine crystal orientation or texture is the construction of a pole figure. A pole figure is a contour map, in stereographic projection, of the concentration of poles of selected crystallographic planes as a function of spatial orientation. The data used to produce pole figures are obtained by X-ray diffraction techniques. The techniques are complicated and can be simplified using computerized data acquisition, reduction, andmore » CRT display techniques. Pole figures of cold-rolled cartridge brass (70Cu--30Zn) taken from published literature were found to closely compare with results achieved at Bendix Kansas City.« less