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Bayesian Tolerance Intervals for the Unbalanced One-Way Random Effects Model

Summary: [This abstract is based on the authors' abstract.]Statistical intervals are often more informative to decision-makers and managers than obtaining a point estimate alone. A simulation-based approach for determining Bayesian tolerance intervals in an unbalanced one-way random effects model is illustrated. A tensile strength example demonstrates the flexibility and other features of the method for the construction of tolerance intervals. Although the example has only one random effect, the method can be applied to other unbalanced data sets and models with multiple variance components. Additionally, a procedure is discussed to obtain Bayesian tolerance intervals for the three-component balanced hierarchical design model.

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  • Topics:
  • Keywords: Bayesian methods,Monte Carlo methods,Prediction densities,Prioritization Matrix,Probability function,Random effects,Tolerances
  • Author: van der Merwe; Abraham; Pretorius, Albertus L.; Meyer, Johannes H.
  • Journal: Journal of Quality Technology