fracfact
Fractional factorial design
Description
[
creates
a fractional factorial design with additional options specified by one or more
name-value arguments.X
,conf
]
= fracfact(gen
,Name=Value
)
Examples
Fractional Factorial Design for Four Variables
Create a fractional factorial design for four variables, where the fourth variable is the product of the first three.
x = fracfact("a b c abc")
x = 8×4
-1 -1 -1 -1
-1 -1 1 1
-1 1 -1 1
-1 1 1 -1
1 -1 -1 1
1 -1 1 -1
1 1 -1 -1
1 1 1 1
Six-Factor Design with Resolution IV
Find generators for a six-factor design that uses four factors and achieves resolution IV by using the fracfactgen
function.
res = 4;
gen = fracfactgen("a b c d e f",4,res)
gen = 6x1 cell
{'a' }
{'b' }
{'c' }
{'d' }
{'bcd'}
{'acd'}
Create the two-level fractional factorial design defined by the generators.
x = fracfact(gen)
x = 16×6
-1 -1 -1 -1 -1 -1
-1 -1 -1 1 1 1
-1 -1 1 -1 1 1
-1 -1 1 1 -1 -1
-1 1 -1 -1 1 -1
-1 1 -1 1 -1 1
-1 1 1 -1 -1 1
-1 1 1 1 1 -1
1 -1 -1 -1 -1 1
1 -1 -1 1 1 -1
⋮
Input Arguments
gen
— Generators
string array | cell array of character vectors | string scalar | character vector
Generators for the smallest two-level fractional-factorial design, specified as one of the following values.
A string array or a cell array of character vectors in which each element contains one word.
A string scalar or character vector consisting of words separated by spaces.
Words are case-sensitive letters or groups of
letters, where "a"
represents value 1
,
"b"
represents value 2
, ...,
"A"
represents value 27
, ..., and
"Z"
represents value 52
. Each word
defines how the corresponding factor’s levels are defined as products of
generators from a 2^K
full-factorial design.
K
is the number of letters of the alphabet in
gen
.
Example: ["a" "b" "c" "abc"]
Example: {'a' 'b' 'c' 'abc'}
Example: "a b c abc"
Example: 'a b c abc'
Data Types: string
| char
Name-Value Arguments
Specify optional pairs of arguments as
Name1=Value1,...,NameN=ValueN
, where Name
is
the argument name and Value
is the corresponding value.
Name-value arguments must appear after other arguments, but the order of the
pairs does not matter.
Example: X = fracfact(gen,MaxInt=3)
specifies the maximum level
of interaction as 3
.
Before R2021a, use commas to separate each name and value, and enclose
Name
in quotes.
Example: X = fracfact(gen,"MaxInt",3)
specifies the maximum level
of interaction as 3
.
FactorNames
— Name for each factor
string array | cell array of character vectors
Name for each factor, specified as a string array or cell array of
character vectors. By default, the factor names are
{'X1','X2',...}
.
Data Types: string
| char
MaxInt
— Maximum level of interaction
2
(default) | positive integer
Maximum level of interaction to include in the confounding output, specified as a positive integer.
Output Arguments
X
— Two-level fractional factorial design
matrix
Two-level fractional factorial design, returned as a matrix of size
N
-by-P
, where:
N
=2^K
, whereK
is the number of letters of the alphabet ingen
.P
is the number of words ingen
.
Because X
is a two-level design, the components of
X
are ±1
. For the meaning of
X
, see Fractional Factorial Designs.
conf
— Confounding pattern for the design
cell array of character vectors
Confounding pattern for the design, returned as a cell array of character vectors.
References
[1] Box, G. E. P., W. G. Hunter, and J. S. Hunter. Statistics for Experimenters. Hoboken, NJ: Wiley-Interscience, 1978.
Version History
Introduced before R2006a
Comando MATLAB
Hai fatto clic su un collegamento che corrisponde a questo comando MATLAB:
Esegui il comando inserendolo nella finestra di comando MATLAB. I browser web non supportano i comandi MATLAB.
Select a Web Site
Choose a web site to get translated content where available and see local events and offers. Based on your location, we recommend that you select: .
You can also select a web site from the following list:
How to Get Best Site Performance
Select the China site (in Chinese or English) for best site performance. Other MathWorks country sites are not optimized for visits from your location.
Americas
- América Latina (Español)
- Canada (English)
- United States (English)
Europe
- Belgium (English)
- Denmark (English)
- Deutschland (Deutsch)
- España (Español)
- Finland (English)
- France (Français)
- Ireland (English)
- Italia (Italiano)
- Luxembourg (English)
- Netherlands (English)
- Norway (English)
- Österreich (Deutsch)
- Portugal (English)
- Sweden (English)
- Switzerland
- United Kingdom (English)