Grubbs-Type Estimators for Reproducibility Variances in an Interlaboratory Test Study
- 1 October 1991
- journal article
- research article
- Published by Taylor & Francis Ltd in Journal of Quality Technology
- Vol. 23 (4), 324-335
- https://doi.org/10.1080/00224065.1991.11979349
Abstract
The well-known model of Grubbs, which is based on repeatability conditions, is generalized to reproducibility conditions in an interlaboratory test study. ANOVA estimators are developed for the repeatability and reproducibility variances of each procedure as well as for the variability within and between laboratories. The paper gives a solution to a problem which often occurs in practice, but which cannot be tackled by the standard model of ISO 5725.Keywords
This publication has 10 references indexed in Scilit:
- An Omnibus Test for Comparing Two Measuring DevicesJournal of Quality Technology, 1991
- The Nature of Repeatability and ReproducibilityJournal of Quality Technology, 1987
- An approximate test of variance homogeneity based on grubbs' estimatorsCommunications in Statistics - Simulation and Computation, 1986
- Some New Results on Grubbs's EstimatorsJournal of the American Statistical Association, 1985
- Nonnegative Minimum Biased Invariant Estimation in Variance Component ModelsThe Annals of Statistics, 1981
- Large Sample Tests for Grubbs' Estimators of Instrument Precision With More Than Two InstrumentsTechnometrics, 1976
- Estimation of variance and covariance components—MINQUE theoryJournal of Multivariate Analysis, 1971
- Precision of Simultaneous Measurement ProceduresJournal of the American Statistical Association, 1963
- Equivalence of Two Estimates of Product VarianceJournal of the American Statistical Association, 1956
- On Estimating Precision of Measuring Instruments and Product VariabilityJournal of the American Statistical Association, 1948