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Models and confidence intervals for true values in interlaboratory trials. (English) Zbl 1055.62124
Summary: We consider the one-way random-effects model with unequal sample sizes and heterogeneous variances. Using the method of generalized confidence intervals, we develop a new confidence interval procedure for the mean. Additionally, we investigate two alternative models based on different sets of assumptions regarding between-group variability and derive generalized confidence interval procedures for the mean. These procedures are applicable to small samples. Statistical simulation is used to demonstrate that the coverage probabilities of these procedures are close enough to the nominal value so that they are useful in practice. Although the methods are quite general, the procedures are explained with the backdrop of interlaboratory studies.

MSC:
62P10 Applications of statistics to biology and medical sciences; meta analysis
62F25 Parametric tolerance and confidence regions
65C60 Computational problems in statistics (MSC2010)
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