Robust Parameter Design: A SemiParametric Approach

Robust Parameter Design: A SemiParametric Approach,Stephanie M. Pickle,Timothy J. Robinson,Jefirey B. Birch,Christine M. Anderson-Cook

Robust Parameter Design: A SemiParametric Approach   (Citations: 2)
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Parameter design or robust parameter design (RPD) is an engineer- ing methodology intended as a cost-efiective approach for improving the quality of products and processes. The goal of parameter design is to choose the levels of the control variables that optimize a deflned qual- ity characteristic. An essential component of robust parameter design involves the assumption of well estimated models for the process mean and variance. Traditionally, the modeling of the mean and variance has been done parametrically. It is often the case, particularly when mod- eling the variance, that nonparametric techniques are more appropriate due to the nature of the curvature in the underlying function. Most re- sponse surface experiments involve sparse data. In sparse data situations with unusual curvature in the underlying function, nonparametric tech- niques often result in estimates with problematic variation whereas their parametric counterparts may result in estimates with problematic bias. We propose the use of semi-parametric modeling within the robust design setting, combining parametric and nonparametric functions to improve the quality of both mean and variance model estimation. The proposed method will be illustrated with an example and simulations.
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