Response Surface Maps

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Chapter: Pharmaceutical Engineering: Statistical Experimental Design

Extending the CCD model to a broad range of combinations of factors and levels allows for a continuous nonlinear surface to be plotted graphically that allows prediction of the response to variation in the factors.


RESPONSE SURFACE MAPS

Extending the CCD model to a broad range of combinations of factors and levels allows for a continuous nonlinear surface to be plotted graphically that allows prediction of the response to variation in the factors (Myers and Montgomery, 1995). In the previous example, the response surface study begins when the process is near the optimum. At this point, it is desirable to accurately approximate the true response function within a small region around the opti-mum, recognizing that the true response exhibits curvature near this location. Sequential experiments are performed within some region of variable space identified as the operability region (OR). It is unlikely that the entire OR would be explored. Usually a region of interest (experimentation) around inflections in the OR will be investigated. The objectives of response surface methodology are generally mapping over a particular region of interest; optimization of the response; or selecting operating conditions to achieve specifications.

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