One-sided tolerance limits in balanced and unbalanced one-way random models based on generalized confidence intervals.
Krishnamoorthy K; Mathew T
Technometrics 2004 Feb; 46(1):44-52
We consider the problem of deriving one-sided tolerance intervals in the one-way random model with balanced as well as unbalanced data, under the usual normality assumptions. The problems investigated deal with the computation of such intervals for the observable random variable, as well as the unobservable random effect in the one-way random model. The tolerance limits are derived using the concept of a generalized confidence interval. Some approximations are derived for the tolerance limits, and their performance is investigated by simulation. The simulation results show that the proposed tolerance limits are quite satisfactory for practical use.
Statistical-analysis; Epidemiology; Exposure-assessment; Risk-analysis; Models; Mathematical-models;
Author Keywords: Confidence; Content; Generalized pivotal quantity; Lower tolerance limit; Noncentral t; Upper tolerance limit
K. Krishnamoorthy, Department of Mathematics University of Louisiana at Lafayette Lafayette, LA 70504; T. Mathew, Department of Mathematics and Statistics University of Maryland Baltimore, MD 21250
University of Maryland, Baltimore