Models and confidence intervals for true values in intertaboratory trials

成果类型:
Article
署名作者:
Iyer, HK; Wang, CMJ; Mathew, T
署名单位:
Colorado State University System; Colorado State University Fort Collins; National Institute of Standards & Technology (NIST) - USA; University System of Maryland; University of Maryland Baltimore
刊物名称:
JOURNAL OF THE AMERICAN STATISTICAL ASSOCIATION
ISSN/ISSBN:
0162-1459
DOI:
10.1198/016214504000001682
发表日期:
2004
页码:
1060-1071
关键词:
摘要:
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 am useful in practice. Although the methods are quite general, the procedures are explained with the backdrop of interlaboratory studies.