Chauvenet's criterion is commonly used for rejection of outliers from sample datasets in engineering and physical science research. Measurement and uncertainty textbooks provide conflicting information on how the criterion should be applied and generally do not refer to the original work. This study was undertaken to evaluate the efficacy of Chauvenet's criterion for improving the estimate of the standard deviation of a sample, evaluate the various interpretations on how it is to be applied, and evaluate the impact of removing detected outliers. Monte Carlo simulations using normally distributed random numbers were performed with sample sizes of 5–100,000. The results show that discarding outliers based on Chauvenet's criterion is more likely to have a negative effect on estimates of mean and standard deviation than to have a positive effect. At best, the probability of improving the estimates is around 50%, which only occurs for large sample sizes.
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May 2017
Technical Briefs
The Inefficacy of Chauvenet's Criterion for Elimination of Data Points
Braden J. Limb,
Braden J. Limb
Mechanical and Aerospace Engineering Department,
Utah State University,
Logan, UT 84322
Utah State University,
Logan, UT 84322
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Dalon G. Work,
Dalon G. Work
Mechanical and Aerospace Engineering Department,
Utah State University,
Logan, UT 84322
Utah State University,
Logan, UT 84322
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Joshua Hodson,
Joshua Hodson
Mechanical and Aerospace Engineering Department,
Utah State University,
Logan, UT 84322
Utah State University,
Logan, UT 84322
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Barton L. Smith
Barton L. Smith
Mechanical and Aerospace Engineering Department,
Utah State University,
Logan, UT 84322
e-mail: Barton.Smith@usu.edu
Utah State University,
Logan, UT 84322
e-mail: Barton.Smith@usu.edu
Search for other works by this author on:
Braden J. Limb
Mechanical and Aerospace Engineering Department,
Utah State University,
Logan, UT 84322
Utah State University,
Logan, UT 84322
Dalon G. Work
Mechanical and Aerospace Engineering Department,
Utah State University,
Logan, UT 84322
Utah State University,
Logan, UT 84322
Joshua Hodson
Mechanical and Aerospace Engineering Department,
Utah State University,
Logan, UT 84322
Utah State University,
Logan, UT 84322
Barton L. Smith
Mechanical and Aerospace Engineering Department,
Utah State University,
Logan, UT 84322
e-mail: Barton.Smith@usu.edu
Utah State University,
Logan, UT 84322
e-mail: Barton.Smith@usu.edu
Contributed by the Fluids Engineering Division of ASME for publication in the JOURNAL OF FLUIDS ENGINEERING. Manuscript received July 2, 2016; final manuscript received December 26, 2016; published online March 16, 2017. Assoc. Editor: Mark F. Tachie.
J. Fluids Eng. May 2017, 139(5): 054501 (3 pages)
Published Online: March 16, 2017
Article history
Received:
July 2, 2016
Revised:
December 26, 2016
Citation
Limb, B. J., Work, D. G., Hodson, J., and Smith, B. L. (March 16, 2017). "The Inefficacy of Chauvenet's Criterion for Elimination of Data Points." ASME. J. Fluids Eng. May 2017; 139(5): 054501. https://doi.org/10.1115/1.4035761
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