Computer-Generated Minimal (and Larger) Response-Surface Designs: (II) The Cube R. H. Hardin and N. J. A. Sloane(*) Mathematical Sciences Research Center AT&T Bell Laboratories 600 Mountain Avenue Murray Hill, New Jersey 07974 (*) Present address: AT&T Shannon Labs, Florham Park, NJ 07932-0971 Note: This paper and its companion (Part I) (see http://NeilSloane.com/doc/doeh.txt) were written in 1991 but never published. They are now (August, 2001) being published electronically on N. J. A. Sloane's home page, ABSTRACT Computer-generated designs in the cube are described which have the minimal (or larger) number of runs for a full quadratic response-surface design. Examples of 2-factor designs are included with 6 to 20 runs, 3-factor designs with 10 to 20 runs, 4-factor designs with 15 to 20 runs, 5-factor designs with 21 to 25 runs, 6-factor designs with 28 to 31 runs, and 7-factor designs with 36 and 39 runs. The designs were constructed by minimizing the average prediction variance, and without imposing any prior constraints -- such as a central composite structure -- on the locations of the points. Key Words. Minimal designs; cube designs; quadratic response surface; computer-generated designs; minimal variance designs. For the full version, see: http://NeilSloane.com/doc/meatball.pdf or http://NeilSloane.com/doc/meatball.ps