Analyzing optima in the exploration of multiple response surfaces.
A method is presented for testing the equality of some or all (constrained or unconstrained) optima in a response surface analysis. An estimator of a common location of stationary points is obtained by a standard multivariate testing procedure and a confidence region associated with the common optimum is derived. The procedure is illustrated by the estimation of a common optimum in a multiple response experiment. The multivariate approach facilitates a more efficient estimation of the optimum than the usual univariate response surface analysis and provides additional tests of the response surface model.
Böckenholt
U
U
University of Illinois at Urbana-Champaign, Department of Psychology 61820.
D000704:Analysis of Variance; D001699:Biometry; D015233:Models, Statistical; D012107:Research Design