Ffacdes1: Difference between revisions

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:desgn = ffacdes1(k,''p'')
:desgn = ffacdes1(k,''p'')
:[desgn, col_ID, alias_ID, res] = ffacdes1(k,p,options)


===Description===
===Description===
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====Optional Inputs====
====Optional Inputs====


* '''p''' = number of confounded factors (if omitted, <tt>p</tt>=1).
* '''p''' = numerical indicator of the fraction desired (default = 1)
:: 1 : Half Fraction
:: 2 : Quarter Fraction
:: 3 : Eighth Fraction
:: 4 : Sixteenth Fraction
:::Note: Only fractionation up to 1/16 presently supported


====Outputs====
====Outputs====


* '''desgn''' = experimental design matrix
* '''desgn''' = experimental design matrix
If the dso option is false, the outputs include:
* '''desgn''' = is a matrix of the experimental design in uncoded form
* '''col_ID''' = is a cell array of strings describing the multiplicative origin of each column; one col for each coefficient to potentially be calculated where:
** the first k cells describe the original main factors
** the remaining cells describe the various interactions among main factors.
* '''alias_ID'''  = is a cell array of logicals describing the alias structure of the selected design; one row per coefficient/X-column. Multiplying a given logical by the full set of characters representing the factors yields the alias relationship for that row/coefficient.
:: <pre>ABCDEF .* [1 0 0 1 1 0] = ADE</pre>
* '''res''' = resolution of the selected design.


===See Also===
===See Also===
 
[[boxbehnken]], [[ccdface]], [[ccdsphere]], [[doegen]], [[doescale]], [[factdes]]
[[distslct]], [[doptimal]], [[factdes]], [[stdsslct]]

Latest revision as of 16:08, 30 May 2013

Purpose

Output a fractional factorial design matrix.

Synopsis

desgn = ffacdes1(k,p)
[desgn, col_ID, alias_ID, res] = ffacdes1(k,p,options)

Description

FFACDES1 outputs a 2(k-p) fractional factorial design of experiments. The design is constructed such that the highest order interaction term is confounded. This is one way to select a fractional factorial. Input k is the total number of factors in the design and p is the number of confounded factors {default: p = 1}. Note that it is required that p < k. Output desgn is the experimental design matrix.

Inputs

  • k = total number of factors in the design.

Optional Inputs

  • p = numerical indicator of the fraction desired (default = 1)
1 : Half Fraction
2 : Quarter Fraction
3 : Eighth Fraction
4 : Sixteenth Fraction
Note: Only fractionation up to 1/16 presently supported

Outputs

  • desgn = experimental design matrix

If the dso option is false, the outputs include:

  • desgn = is a matrix of the experimental design in uncoded form
  • col_ID = is a cell array of strings describing the multiplicative origin of each column; one col for each coefficient to potentially be calculated where:
    • the first k cells describe the original main factors
    • the remaining cells describe the various interactions among main factors.
  • alias_ID = is a cell array of logicals describing the alias structure of the selected design; one row per coefficient/X-column. Multiplying a given logical by the full set of characters representing the factors yields the alias relationship for that row/coefficient.
ABCDEF .* [1 0 0 1 1 0] = ADE
  • res = resolution of the selected design.

See Also

boxbehnken, ccdface, ccdsphere, doegen, doescale, factdes