Publication Cover
Journal of Quality Technology
A Quarterly Journal of Methods, Applications and Related Topics
Volume 23, 1991 - Issue 4
6
Views
15
CrossRef citations to date
0
Altmetric
Articles

Grubbs-Type Estimators for Reproducibility Variances in an Interlaboratory Test Study

Pages 324-335 | Published online: 21 Feb 2018

References

  • ASTM (1979). “Standard Practice E 691–79 for Conducting an Interlaboratory Test Program to Determine the Precision of Test Methods.” ASTM, Philadelphia, PA.
  • Behr, H. (1987). “Interlaboratory Test Study for Determination of Repeatability and Reproducibility Variances in Destructive Density Measurements at Construction Sites” (in German). Research Report No. 5.081, Federal Highway Research Institute, D 5070 Bergisch Gladbach, Germany.
  • Blackwood, L. G. and Bradley, E. L. (1991). “An Omnibus Test for Comparing Two Measuring Devices.” Journal of Quality Technology 23, pp. 12–16.
  • Bradley, R. A., and Brindley, D. A. (1986). “An Approximate Test of Variance Homogeneity Based on Grubbs Estimators.” Communications in Statistics, Computations and Simulations 15, pp. 27–34.
  • Brindley, D. A. and Bradley, R. A. (1985). “Some New Results on Grubbs' Estimators.” Journal of the American Statistical Association 80, pp. 711–714.
  • Brownlee, K. A. (1965). Statistical Theory and Methodology in Science and Engineering, 2nd ed. John Wiley & Sons, New York, NY.
  • BSI (1987). “Precision of Test Methods. Part 1: Guide for the Determination of Repeatability and Reproducibility for a Standard Test Method.” British Standard 5497, London, England.
  • Gaylor, D. W. (1956). “Equivalence of Two Estimates of Product Variance.” Journal of the American Statistical Association 51, pp. 451–453.
  • Grubbs, F. E. (1948). “On Estimating Precision of Measuring Instruments and Product Variability.” Journal of the American Statistical Association 43, pp. 243–264.
  • Hartung, J. (1981). “Non-negative Minimum Biased Invariant Estimation in Variance Component Models.” Annals of Statistics 9, pp. 278–292.
  • Klöesener, K. H. (1983). “Determination of Precision of Measuring Instruments for Destructive Tests” (in German). Doctoral Thesis, University of Dortmund, D4600 Dortmund, Germany.
  • Infante, A. (1980). “Explicit Formulae for Some Nonnegative Estimators of Variance Components in Balanced ANOVA Models.” Research Report No. 80/4, University of Dortmund, D4600 Dortmund, Germany.
  • ISO 5725 (1986). “Precision of Test Methods—Determination of Repeatability and Reproducibility for a Standard Test by Inter-Laboratory Tests.” International Standard 5725–1986, Geneva, Switzerland.
  • Jaech, J. L. (1976). “Large Sample Tests for Grubbs Estimators of Instrument Precision with More Than Two Instruments.” Technometrics 18, pp. 127–133.
  • Jaech, J. L. (1985). “Statistical Analysis of Measurement Errors.” An Exxon Monograph, published by John Wiley & Sons, New York, NY.
  • Mandel, J. and Lashof, T. W. (1987). “The Nature of Repeatability and Reproducibility.” Journal of Quality Technology 19, pp. 29–36.
  • Rao, C. R. (1971). “Estimation of Variance and Covariance Components—MINQUE-Theory.” Journal of Multivariate Analysis 1, pp. 257–275.
  • Searle, S. R. (1971). Linear Models. John Wiley & Sons, New York, NY.
  • Thompson, W. A., Jr. (1963). “Precision of Simultaneous Measurement Procedures.” Journal of American Statistical Association 58, pp. 474–479.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.