Comparison of design for quadratic regression on cubes

Abstract Designs for quadratic regression are considered when the possible choices of the controllable variable are points x =( x 1 , x 2 ,…, x q ) in the q -dimensional cube of side 2. The designs that are optimum with respect to such criteria as those of D-, A-, and E-optimality are compared in their performance relative to these and other criteria. Some of the results are developed algebraically; others, numerically. The possible supports of E-optimum designs are much more numerous than the D-optimum supports characterized earlier. The A-optimum design appears to be fairly robust in its efficiency, under variation of criterion.