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Extensions to Confidence Region Calculations for the Path of Steepest Ascent

Summary: [This abstract is based on the authors' abstract.] Response surface methodology relies on the path of steepest ascent to provide a direction for further experimentation after an initial factorial design. The fraction of all possible directions in the confidence cone surrounding the fitted path of steepest ascent can be calculated to determine if the path has been determined accurately. A method is discussed that expands the existing method to cover heterogeneous error variance, nonorthogonal designs, and generalized linear models. Additionally, a design criterion is proposed for augmenting a given experimental design in experiments for which the path of steepest ascent has not been determined with sufficient accuracy.

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  • Topics:
  • Keywords: Confidence limits,Response surface methodology (RSM),Mean square errors (MSE)
  • Author: Sztendur, Ewa M.; Diamond, Neil T.
  • Journal: Journal of Quality Technology