Symmetric Designs for Exploring Response Surfaces

is assumed to exist between a response 7) and k continuous variables 51, 52, , 5k. To elucidate certain aspects of this relationship, measurements of 77 are to be made for each of N combinations of the levels of the variables e',t= 52ut.• • 5ku) = N. We assume that the function ca(5) can be adequately represented by a polynomial of 2nd degree within a limited region 91 of immediate interest in the space of the variables. We restrict every experimental point 5 to be in the k-dimensional interval ai

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