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Statistical analysis of proficiency testing results under elliptical distributions

Author

Listed:
  • Leão Pinto Jr., D.
  • Aoki, R.
  • Silva, G.F.

Abstract

The use of inter-laboratory test comparisons to determine the performance of individual laboratories for specific tests (or for calibration) [ISO/IEC Guide 43-1, 1997. Proficiency testing by interlaboratory comparisons -- Part I: Development and operation of proficiency testing schemes] is called Proficiency Testing (PT). In this paper we propose the use of the generalized likelihood ratio test to compare the performance of the group of laboratories for specific tests relative to the assigned value and illustrate the procedure considering an actual data from the PT program in the area of volume. The proposed test extends the test criteria in use allowing to test for the consistency of the group of laboratories. Moreover, the class of elliptical distributions are considered for the obtained measurements.

Suggested Citation

  • Leão Pinto Jr., D. & Aoki, R. & Silva, G.F., 2009. "Statistical analysis of proficiency testing results under elliptical distributions," Computational Statistics & Data Analysis, Elsevier, vol. 53(4), pages 1427-1439, February.
    • Handle: RePEc:eee:csdana:v:53:y:2009:i:4:p:1427-1439
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    References listed on IDEAS

    as
    1. Reiko Aoki & Hereno Bolfarine & Julio Singer, 2001. "Null intercept measurement error regression models," TEST: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 10(2), pages 441-457, December.
    2. Reiko Aoki & Jorge Achcar & Heleno Bolfarine & Julio Singer, 2003. "Bayesian analysis of null intercept errors-in-variables regression for pretest/post-test data," Journal of Applied Statistics, Taylor & Francis Journals, vol. 30(1), pages 3-12.
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