An Old Problem Revisited - and Solved: Upton and Dalton's Linear Production Response: A Note

摘要

This note presents a robust method for estimating response surfaces that consist of linear response regimes and a linear plateau. The linear response-and-plateau model has fascinated production scientists since von Liebig (1855) and, as Upton and Dalton Indicated, some years ago in this Journal the response-and-plateau model seems to fit the data in many empirical studies. The estimation algorithm evolves from Bayesian implementation of a switching-regression (finite mixtures) model and demonstratesroutine application of Gibbs sampling and data augmentation-techniques that are now in widespread application in other disciplines.