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Proceedings Paper

A chi-square statistics of arithmetic mean and applications to inter-laboratory comparison
Author(s): Chenzhe Hang; Guoyuan Ma; Jianli Liu; Dinghua Xu
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Paper Abstract

Under the condition that comparison results are Gaussian distributed with a common mean, a chi-square statistics of arithmetic mean is proposed and investigated through the Monte Carlo simulation. Simulation results show that the arithmetic mean has its own (n – 1)th-order chi-square statistics under the condition that the uncertainties of participants are comparable. Furthermore, the density curve of the proposed statistics is confined between the (n - 1)th-order and first-order chi-square under the condition that the uncertainties of participants are incomparable. However, the expected value of this statistics equals n – 1, which is unaffected by the uncertainties. Based on these properties, the proposed statistics is applied to the consistence testing of arithmetic mean by examples.

Paper Details

Date Published: 7 March 2019
PDF: 6 pages
Proc. SPIE 11053, Tenth International Symposium on Precision Engineering Measurements and Instrumentation, 110531N (7 March 2019); doi: 10.1117/12.2511388
Show Author Affiliations
Chenzhe Hang, National Institute of Metrology (China)
Beijing Univ. of Technology (China)
Guoyuan Ma, Beijing Univ. of Technology (China)
Jianli Liu, Henan Institute of Meteorological Science (China)
Dinghua Xu, National Institute of Metrology (China)


Published in SPIE Proceedings Vol. 11053:
Tenth International Symposium on Precision Engineering Measurements and Instrumentation
Jiubin Tan; Jie Lin, Editor(s)

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