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Tolerance intervals in the two-way nested model with mixed or random effects

TitleTolerance intervals in the two-way nested model with mixed or random effects
Publication TypeUnpublished
Year of Publication2005
AuthorsFonseca M, Mathew T, Mexia JT, Zmyslony R
Series TitlePreprint
AbstractWe address the problem of deriving a one sided tolerance interval in a twoway nested model with mixed or random effects. The generalized confidence interval idea is used in the derivation of our tolerance limit, and the results are obtained by suitably modifying the approach in Krishnamoorthy and Mathew (2004), for the oneway random model. In general, our tolerance limit has to be estimated by Monte Carlo simulation. However, we have been able to develop closed form approximations in some cases. The performance of our tolerance interval is numerically investigated, and the performance is found to be satisfactory. The results are illustrated with an example.
URLhttp://www.dm.fct.unl.pt/sites/www.dm.fct.unl.pt/files/preprints/2005/15_05.pdf