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Two New Mixture Models: Living With Collinearity but Removing Its Influence

Summary: [This abstract is based on the authors' abstract.] Computer roundoff error, inexact estimates, and collinearity among the terms in models are a few of the challenges for modelers attempting to fit equations to mixture data collected from highly constrained regions. Collinearity can create exaggerated coefficient estimates that make it difficult to convince a client that the model is adequate. Strategies attempting to reduce the effect of collinearity have often been unsuccessful. The benefits of two new model forms where the terms are scaled are illustrated using two numerical examples. The equivalence among models of four separate but related component systems is demonstrated.

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  • Topics:
  • Keywords: Collinearity,Scaled chi-square approximation,Mixture designs,Constrained simplex
  • Author: Cornell, John A.; Gorman, John W.
  • Journal: Journal of Quality Technology