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''' = | * '''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]] | |||
[[ |
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.