Response Surface Design for Correlated Noise Variables
Response surface designs for process robustness studies and robust parameter design have historically been chosen and performed under the assumption that noise variables are uncorrelated, but this may not always be a valid assumption. This paper presents a framework for quantifying the effects of correlation among noise variables on the estimates of model parameters. Both numeric and visual assessments of design optimality are employed. Nonstandard designs with superior performance compared to traditional designs are suggested for some example cases in which noise variables are correlated and have a practically significant interaction with control variables.
D. Drain et al., "Response Surface Design for Correlated Noise Variables," Journal of Probability and Statistical Science, Fu Jen Catholic University, Jan 2005.
Mathematics and Statistics
Keywords and Phrases
design of experiments; fraction of design space graph; prediction error variance; slope estimation variance; variance dispersion graph
Article - Journal
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