Creates a Plackett-Burman design.

1 |

`n` |
integer value giving the number of trials. |

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

`randomize` |
logical value (‘TRUE’/‘FALSE’) - randomizes the RunOrder of the design. |

`replicates` |
Integer giving the number of replicates. |

`pbDesign`

returns an object of class `pbDesign`

.

This function creates Placket-Burman Designs up to n=48. Bigger Designs are not implemented because of lack in practicability. For the creation either the number of factors or the number of trials can be denoted. Wrong combinations will lead to an error message. Originally Placket-Burman-Design are applicable for number of trials divisible by 4. If n is not divisble by 4 this function will take the next larger Placket-Burman Design and truncate the last rows and columns.

Thomas Roth thomas.roth@tu-berlin.de

Etienne Stockhausen stocdarf@mailbox.tu-berlin.de

Plackett, R.L. and Burman J.P.: The design of optimum multifactorial

experiments. Biometrika 33 (1946), 305-332

Myers, R.H.; Montgomery, D.C. and Anderson-Cook, C.M.: Response Surface

Methodology. p. 165. New Jersey: Wiley & Sons, 2009.

`facDesign`

for 2^k factorial designs

`rsmDesign`

for response surface designs

`fracDesign`

for fractional factorial design

`gageRRDesign`

for gage designs

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

1 | ```
pbdo=pbDesign(5)
``` |

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