# Generate a response surface design (i.e. central composite design)

### Description

Generates a response surface design containing a cube, centerCube, star and centerStar portion.

### Usage

1 2 |

### Arguments

`k` |
integer value giving the number of factors. By default |

`p` |
integer value giving the number of additional factors in the response surface design by aliasing effects. |

`alpha` |
character string - alpha shoud be “rotatable” (default), “orthogonal” or “both”. If “both” values for cc and cs will be DISCARDED. |

`blocks` |
integer value giving the number of blocks in the response surface design. |

`cc` |
integer value giving the number of centerpoints (per block) in the cube portion (i.e. the factorial 2^k design) of the response surface design. |

`cs` |
integer value giving the number of centerpoints in the star portion (alpha) of the response surface design. |

`fp` |
integer value giving the number of replications per factorial point (i.e. corner points e.g. (-1,1)). |

`sp` |
integer value giving the number of replications per star point (i.e. alpha). |

`faceCentered` |
logical value wheter to use a faceCentered response surface design or not (i.e. alpha = 1). |

### Details

Generated designs consist of a cube, centerCube, star and a centerStar portion. The replication structure can be set with the parameters cc (centerCube), cs (centerStar), fp (factorialPoints) and sp (starPoints).

### Value

`rsmDesign`

returns an object of class `facDesign`

.

### Note

For an example in context which shows the usage of the function `rsmDesign()`

please read the vignette for the package `qualityTools`

at http://www.r-qualitytools.org/html/Improve.html.

### Author(s)

Thomas Roth thomas.roth@tu-berlin.de

### See Also

`facDesign`

`fracDesign`

`fracChoose`

`pbDesign`

`rsmChoose`

http://www.r-qualitytools.org/html/Improve.html

### Examples

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 | ```
#central composite design for 2 factors with 2 blocks, alpha = 1.41,
#5 centerpoints in the cube portion and 3 centerpoints in the star portion:
rsmDesign(k = 2, blocks = 2, alpha = sqrt(2),cc = 5, cs = 3)
#central composite design with both, orthogonality and near rotatability
rsmDesign(k = 2, blocks = 2, alpha = "both")
#central composite design with
#2 centerpoints in the factorial portion of the design i.e 2
#1 centerpoint int the star portion of the design i.e. 1
#2 replications per factorial point i.e. 2^3*2 = 16
#3 replications per star points 3*2*3 = 18
#makes a total of 37 factor combinations
rsdo = rsmDesign(k = 3, blocks = 1, alpha = 2, cc = 2, cs = 1, fp = 2, sp = 3)
nrow(rsdo) #37
``` |