r6qualitytools (version 1.0.1)

fracDesign: fracDesign

Description

Generates a 2^k-p fractional factorial design.

Usage

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

Value

The function fracDesign returns an object of class facDesign.c.

Arguments

k

Numeric value giving the number of factors. By default k is set to `3`.

p

Numeric integer between `0` and `7`. p is giving the number of additional factors in the response surface design by aliasing effects. A 2^k-p factorial design will be generated and the generators of the standard designs available in fracChoose() will be used. By default p is set to `0`. Any other value will cause the function to omit the argument gen given by the user and replace it by the one out of the table of standard designs (see: fracChoose). Replicates and blocks can be set anyway!

gen

One or more defining relations for a fractional factorial design, for example: `C=AB`. By default gen is set to NULL.

replicates

Numeric value giving the number of replicates per factor combination. By default replicates is set to `1`.

blocks

Numeric value giving the number of blocks. By default blocks is set to `1`.

centerCube

Numeric value giving the number of center points within the 2^k design. By default centerCube is set to `0`.

random.seed

Seed for randomization of the design

See Also

facDesign, fracChoose, rsmDesign, pbDesign, taguchiDesign

Examples

#Example 1
#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)
vp.frac$.response(rnorm(2^(4-1)))
# summary of the fractional factorial design
vp.frac$summary()

#Example 2
#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
vp.rep$summary()