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Bayesian Analysis of Split-Plot Experiments With Nonnormal Responses for Evaluating Nonstandard Performance Criteria

Summary: [This abstract is based on the authors' abstract.] Many industrial experiments contain factors resulting in a split-plot randomization structure, it is important to account for the correlation induced by the restricted randomization. The flexibility of Bayesian methods is demonstrated for the analysis of split-plot experiments with nonnormal responses, especially in cases when the focus is on various functions of the response distribution. Summaries rely on the Bayesian approach without requiring additional theoretical development. A split-plot film manufacturing example with gamma responses is used for illustration.

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  • Topics: Design of Experiments
  • Keywords: Bayesian methods, Mixed-level designs, Markov chains, Monte Carlo methods, Response surface methodology (RSM), Randomization tests
  • Author: Robinson, Timothy J.; Anderson-Cook, Christine M.; Hamada, Michael S.
  • Journal: Technometrics