Plackett-Burman Designs

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Description

Creates a Plackett-Burman design.

Usage

1
pbDesign(n, k, randomize = TRUE, replicates = 1)

Arguments

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.
By default randomize is set to ‘TRUE’.

replicates

Integer giving the number of replicates.

Value

pbDesign returns an object of class pbDesign.

Note

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.

Author(s)

Thomas Roth thomas.roth@tu-berlin.de
Etienne Stockhausen stocdarf@mailbox.tu-berlin.de

References

  • 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.

See Also

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

Examples

1
 pbdo=pbDesign(5)

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