fracDesign: fracDesign
In qualityTools: Statistical Methods for Quality Science

Description Usage Arguments Details Value Note Author(s) See Also Examples

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

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

`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. 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 centerpoints within the 2^k design. By default `centerCube` is set to ‘0’.
`random.seed`	seed for randomization of the design

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

fracDesign returns an object of class facDesign.

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.

Thomas Roth thomas.roth@tu-berlin.de

facDesign
fracChoose
pbDesign
rsmDesign
taguchiDesign
http://www.r-qualitytools.org/html/Improve.html

#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)

Loading required package: Rsolnp
Loading required package: MASS

Attaching package: 'qualityTools'

The following object is masked from 'package:stats':

    sigma

Warning messages:
1: In `[<-`(`*tmp*`, i, value = <S4 object of class "doeFactor">) :
  implicit list embedding of S4 objects is deprecated
2: In `[<-`(`*tmp*`, i, value = <S4 object of class "doeFactor">) :
  implicit list embedding of S4 objects is deprecated
3: In `[<-`(`*tmp*`, i, value = <S4 object of class "doeFactor">) :
  implicit list embedding of S4 objects is deprecated
Information about the factors:

           A       B       C
low       -1      -1      -1
high       1       1       1
name                        
unit                        
type numeric numeric numeric
-----------
  StandOrder RunOrder Block  A  B  C  rnorm.2.3.
6          6        1     1  1 -1  1 -0.91149314
4          4        2     1  1  1 -1 -0.64604795
7          7        3     1 -1  1  1 -1.21969321
1          1        4     1 -1 -1 -1  0.29408749
3          3        5     2 -1  1 -1 -0.53747162
5          5        6     2 -1 -1  1 -0.04947574
8          8        7     2  1  1  1 -0.27433356
2          2        8     2  1 -1 -1  0.24014825
Warning messages:
1: In `[<-`(`*tmp*`, i, value = new("doeFactor")) :
  implicit list embedding of S4 objects is deprecated
2: In `[<-`(`*tmp*`, i, value = new("doeFactor")) :
  implicit list embedding of S4 objects is deprecated
3: In `[<-`(`*tmp*`, i, value = new("doeFactor")) :
  implicit list embedding of S4 objects is deprecated
4: In `[<-`(`*tmp*`, i, value = new("doeFactor")) :
  implicit list embedding of S4 objects is deprecated
Information about the factors:

           A       B       C       D
low       -1      -1      -1      -1
high       1       1       1       1
name                                
unit                                
type numeric numeric numeric numeric
-----------
  StandOrder RunOrder Block  A  B  C  D rnorm.2..4...1..
4          4        1     1  1  1 -1 -1      -0.91149314
3          3        2     1 -1  1 -1  1      -0.64604795
2          2        3     1  1 -1 -1  1      -1.21969321
5          5        4     1 -1 -1  1  1       0.29408749
6          6        5     1  1 -1  1 -1      -0.53747162
7          7        6     1 -1  1  1 -1      -0.04947574
8          8        7     1  1  1  1  1      -0.27433356
1          1        8     1 -1 -1 -1 -1       0.24014825

---------

Defining relations:
I =  ABCD 		Columns: 1 2 3 4 

Resolution:  IV 

Warning messages:
1: In `[<-`(`*tmp*`, i, value = new("doeFactor")) :
  implicit list embedding of S4 objects is deprecated
2: In `[<-`(`*tmp*`, i, value = new("doeFactor")) :
  implicit list embedding of S4 objects is deprecated
3: In `[<-`(`*tmp*`, i, value = new("doeFactor")) :
  implicit list embedding of S4 objects is deprecated
Information about the factors:

           A       B       C
low       -1      -1      -1
high       1       1       1
name                        
unit                        
type numeric numeric numeric
-----------
   StandOrd RunOrder Block  A  B  C  y
16       16        1     1  1  1  1 NA
4         4        2     1  1  1 -1 NA
14       14        3     1  1 -1  1 NA
9         9        4     1 -1 -1 -1 NA
3         3        5     1 -1  1 -1 NA
18       18        6     1  1 -1 -1 NA
24       24        7     1  1  1  1 NA
20       20        8     1  1  1 -1 NA
15       15        9     1 -1  1  1 NA
2         2       10     1  1 -1 -1 NA
28       28       11     1  0  0  0 NA
8         8       12     1  1  1  1 NA
7         7       13     1 -1  1  1 NA
23       23       14     1 -1  1  1 NA
22       22       15     1  1 -1  1 NA
12       12       16     1  1  1 -1 NA
25       25       17     1  0  0  0 NA
19       19       18     1 -1  1 -1 NA
5         5       19     1 -1 -1  1 NA
17       17       20     1 -1 -1 -1 NA
21       21       21     1 -1 -1  1 NA
10       10       22     1  1 -1 -1 NA
11       11       23     1 -1  1 -1 NA
27       27       24     1  0  0  0 NA
13       13       25     1 -1 -1  1 NA
6         6       26     1  1 -1  1 NA
1         1       27     1 -1 -1 -1 NA
26       26       28     1  0  0  0 NA