Simultaneous estimation and reduction of nonconformity in interlaboratory studies

William E. Strawderman, Andrew L. Rukhin

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


Several procedures that are designed to reduce nonconformity in interlaboratory studies by shrinking data towards a consensus weighted mean are suggested. Some of them are shown to have a smaller quadratic risk than the vector sample means. Shrinkage towards a weighted mean in a random-effects model and a statistic appearing in models which allow for systematic errors are also considered. The results are illustrated by two examples of collaborative studies. Journal compilation

Original languageEnglish (US)
Pages (from-to)219-234
Number of pages16
JournalJournal of the Royal Statistical Society. Series B: Statistical Methodology
Issue number2
StatePublished - Mar 2010

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Statistics, Probability and Uncertainty


  • Birge ratio
  • Heteroscedasticity
  • Key comparisons
  • Meta-analysis
  • Normal mean
  • Reference value
  • Shrinkage estimators
  • Stein phenomenon
  • Weighted means statistics


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