# fracDesign

### Description

Generates a 2^k full- or fractional factorial design.

### Usage

1 2 | ```
fracDesign(k = 3, p = 0, gen = NULL, replicates = 1, blocks = 1, centerCube = 0,
random.seed = 1234)
``` |

### Arguments

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

`p` |
numeric integer between ‘0’ and ‘7’. |

`gen` |
one or more defining relations for a fractional factorial design. By default |

`replicates` |
numeric value giving the number of replicates per factor combination. By default |

`blocks` |
numeric value giving the number of blocks. By default |

`centerCube` |
numeric value giving the number of centerpoints within the 2^k design. By default |

`random.seed` |
seed for randomization of the design |

### Details

fracDesign generates 2^k full- or fractional factorial designs.

### Value

`fracDesign`

returns an object of class facDesign.

### Note

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

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`

`fracChoose`

`pbDesign`

`rsmDesign`

`taguchiDesign`

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

### Examples

1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 | ```
#returns a 2^3 full factorial design
vp.full = facDesign(k = 3)
#design in 2 blocks
vp.full = blocking(vp.full, 2)
#generate some random response
response(vp.full) = rnorm(2^3)
#summary of the full factorial design (especially no defining relation)
summary(vp.full)
#returns a 2^4-1 fractional factorial design. Factor D will be aliased with
vp.frac = fracDesign(k = 4, gen = "D=ABC")
#the three-way-interaction ABC (i.e. I = ABCD)
response(vp.frac) = rnorm(2^(4-1))
#summary of the fractional factorial design
summary(vp.frac)
#returns a full factorial design with 3 replications per factor combination
#and 4 center points
vp.rep = fracDesign(k = 3, replicates = 3, centerCube = 4)
#summary of the replicated fractional factorial Design
summary(vp.rep)
``` |