Performance Evaluation of Ground Water Reference Material by Statistical Methods

Authors

  • Karina Schramm-Nielsen IMM, Department of Mathematical Modelling, Technical University of Denmark, Lyngby
  • Jill Merry VKI, Water Quality Institute, Hoersholm
  • Bente A. Nyeland NERI, National Environmental Research Institute, Roskilde
  • Niels H. Spliid Danish Institute of Agricultural Sciences Research Centre, Flakkebjerg, Denmark
  • Henrik Spliid IMM, Department of Mathematical Modelling, Technical University of Denmark, Lyngby

DOI:

https://doi.org/10.17713/ajs.v27i1&2.533

Abstract

As part of the Danish ground water monitoring program a multicomponent reference material for laboratory use has been developed. After the certification procedure was completed, further analysis was undertaken to investigate any possible effect of the analytical methods used by the laboratories. In the present case, a group of similar compounds were selected for the statistical analyses. Data was imbalanced, therefore a mixed model approach has been applied using the MIXED procedure of SASâ. Method effect was significant in two cases out of six. Some of the data sets caused problems
with non positive definite G-matrices, probably because of too sparse data.

References

ISO Guide 30: Terms and definitions used in connection with reference materials, 1992.

ISO Guide 35: Certification of reference materials - general and statistical principles, 1989.

ISO-REMCO N282 Rev Final Draft (1993): Quality system for the operation of a reference material producer, 1993.

F.C. Leone, L.S. Nelson, N.L. Johnson, and S. Eisenstat. Sampling distributions of variance components ii. empirical studies of unbalanced nested designs. Technometrics, 10 (4):719–737, 1968.

R.B.McHugh and P.W. Jr.Mielke. Negative variance estimates and statistical dependence in nested sampling. J. Amer. Statist. Assoc., 63:1000–1003, 1968.

W.A. Jr. Thompson. The problem of negative estimates of variance components. Annals of Mathematical Statistics, 33:273–89, 1962.

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Published

2016-04-03

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Section

Articles

How to Cite

Performance Evaluation of Ground Water Reference Material by Statistical Methods. (2016). Austrian Journal of Statistics, 27(1&2), 99–107. https://doi.org/10.17713/ajs.v27i1&2.533