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APPLIED MULTIVARIATE STATISTICS: WITH SAS® SOFTWARE by Dayanand N. Naik, Ravindra Khattree

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3.7. Multiple Response Surface Modeling

Response surface modeling is essentially a regression analysis problem. In situations where data are collected on a number of response (dependent) variables under the controlled levels of process or recipe (independent) variables, these responses are correlated. However, as it often happens, the levels of process or recipe variables that are optimum for one dependent variable may not be optimum for others. Therefore it is important to investigate response variables simultaneously and not individually or independently of one another, in order to also account for interrelationships. Consequently, the "best model" search for the individual response variables may not be meaningful. What is desired is a best ...

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