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