Summary of central composite designs shows the central composite designs you can generate with Create Response Surface Design. The default values of a provide orthogonal blocking and, whenever possible, rotatability. The "cube" portions of central composite designs are identical to those generated by Create Factorial Design with the same number of center points and blocks. Thus, a design generated by Create Factorial Design with the same number of runs, center points, and blocks can be built up into an orthogonally-blocked central composite design.
Any factorial design with the right number of runs and blocks can be built up into a blocked central composite design. However, to make the blocks orthogonal, Create Factorial Design must use the number of center points shown in Summary of central composite designs.