Abstract
The responses of an experiment when considered as a function of the possible levels of the factors are called a response surface, and designs used to study a response surface are called response surface designs. Response surfaces are usually much too complex to be able to easily model the entire surface with a single function, so a simple model (one that is linear in the factor levels) is used to find the local slope (the slope in a specified area) of the surface and point the direction to the maximum (minimum) response. Then, when the desired area (say of the maximum) is reached, a more complex model with quadratic terms is used to provide a more accurate representation of the response surface in the area of its maximum value.
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