Averaging in the presence of sliding errors

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In many cases the precision with which an experiment can measure a physical quantity depends on the value of that quantity. Not having access to the true value, experimental groups are forced to assign their errors based on their own measured value. Procedures which attempt to derive an improved estimate of the true value by a suitable average of such measurements usually weight each experiment`s measurement according to the reported variance. However, one is in a position to derive improved error estimates for each experiment from the average itself, provided an approximate idea of the functional dependence of the error ... continued below

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33 p.

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Yost, G.P. August 1, 1991.

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This report is part of the collection entitled: Office of Scientific & Technical Information Technical Reports and was provided by UNT Libraries Government Documents Department to Digital Library, a digital repository hosted by the UNT Libraries. More information about this report can be viewed below.

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  • Yost, G.P. Superconducting Super Collider Lab., Dallas, TX (United States)

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Description

In many cases the precision with which an experiment can measure a physical quantity depends on the value of that quantity. Not having access to the true value, experimental groups are forced to assign their errors based on their own measured value. Procedures which attempt to derive an improved estimate of the true value by a suitable average of such measurements usually weight each experiment`s measurement according to the reported variance. However, one is in a position to derive improved error estimates for each experiment from the average itself, provided an approximate idea of the functional dependence of the error on the central value is known. Failing to do so can lead to substantial biases. Techniques which avoid these biases without loss of precision are proposed and their performance is analyzed with examples. These techniques are quite general and can bring about an improvement even when the behavior of the errors is not well understood. Perhaps the most important application of the technique is in fitting curves to histograms.

Physical Description

33 p.

Notes

INIS; OSTI as DE95011144

Source

  • Other Information: PBD: Aug 1991

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  • Other: DE95011144
  • Report No.: SSCL--485
  • Grant Number: AC35-89ER40486
  • DOI: 10.2172/79719 | External Link
  • Office of Scientific & Technical Information Report Number: 79719
  • Archival Resource Key: ark:/67531/metadc733368

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Office of Scientific & Technical Information Technical Reports

Reports, articles and other documents harvested from the Office of Scientific and Technical Information.

Office of Scientific and Technical Information (OSTI) is the Department of Energy (DOE) office that collects, preserves, and disseminates DOE-sponsored research and development (R&D) results that are the outcomes of R&D projects or other funded activities at DOE labs and facilities nationwide and grantees at universities and other institutions.

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Creation Date

  • August 1, 1991

Added to The UNT Digital Library

  • Oct. 19, 2015, 7:39 p.m.

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  • April 29, 2016, 6 p.m.

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Yost, G.P. Averaging in the presence of sliding errors, report, August 1, 1991; Dallas, Texas. (digital.library.unt.edu/ark:/67531/metadc733368/: accessed October 19, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.