Simultaneous tolerance intervals in the random one-way model with covariates

Abstract

Simultaneous tolerance intervals developed by Limam and Thomas (19881, for the normal regression model, are generalized to the random one-way model with covariates. Simultaneous tolerance intervals for unit means are developed for the balanced model. A simulation study is used to estimate the exact confidence of the tolerance intervals for models with one covariate.

Keywords:

• Simultaneous inference
• Tolerance limits
• One-way ANOVA random model
• Higher level covariates
• Satterthwaite approximation