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Simultaneous estimation and reduction of nonconformity in interlaboratory studies
Author(s) -
Strawderman William E.,
Rukhin Andrew L.
Publication year - 2010
Publication title -
journal of the royal statistical society: series b (statistical methodology)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 6.523
H-Index - 137
eISSN - 1467-9868
pISSN - 1369-7412
DOI - 10.1111/j.1467-9868.2009.00733.x
Subject(s) - nonconformity , statistic , statistics , mathematics , random error , reduction (mathematics) , estimation , sample (material) , variance components , quadratic equation , econometrics , computer science , chromatography , chemistry , engineering , operations management , geometry , systems engineering
Summary. 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.