Abstract
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 language | English (US) |
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Pages (from-to) | 219-234 |
Number of pages | 16 |
Journal | Journal of the Royal Statistical Society. Series B: Statistical Methodology |
Volume | 72 |
Issue number | 2 |
DOIs | |
State | Published - Mar 2010 |
All Science Journal Classification (ASJC) codes
- Statistics and Probability
- Statistics, Probability and Uncertainty
Keywords
- Birge ratio
- Heteroscedasticity
- Key comparisons
- Meta-analysis
- Normal mean
- Reference value
- Shrinkage estimators
- Stein phenomenon
- Weighted means statistics