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scidoe_ccdesign

A Central Composite Design of Experiments

Calling Sequence

H = scidoe_ccdesign(nbvar)
H = scidoe_ccdesign(nbvar,"Name",value,...)

Parameters

nbvar :

a 1-by-1 matrix of doubles, positive integer, the number of variables of the experiment

Name :

a 1-by-1 matrix of strings. The options are "type", "alpha" and "center".

value :

the value

Description

This function produces a Central Composite Design (CCD) of experiments. A CCD is composed by :

The available options are the following.

The "circumscribed" and "inscribed" can be rotatable designs, but "faced" cannot. For "faced" CCD, alpha =1. If "type" is specified, while "alpha" is not, then default value is "orthogonal".

If the design is "orthogonal",

alpha = sqrt(nbvar*(1+(nao/na))/(1+(nco/nc))),
where

If the design is "rotatable",

alpha = nc^1/4,
where nc=2^nbvar are the factorial points.

If the design is "faced", then alpha=1.

The user can specify the number of center points in each block of the design (factorial and axial). If "Parameter" is [2 3], then there are 2 center points in the factorial block and 3 points in the axial points block. Default value is [4 4] (a total of 8 center points in the CCD).

There is no strict order in the input of the above options. For example,

scidoe_ccdesign(2,"type","inscribed","center",[2 3])
will output the same as
scidoe_ccdesign(2,"center",[2 3],"type","inscribed")

Examples

// Circumscribed orthogonal design
H = scidoe_ccdesign(2)
// Inscribed orthogonal design
H = scidoe_ccdesign(3,"type","inscribed")
// Faced CCD
H = scidoe_ccdesign(2,"type","faced")
// Inscribed rotatable CC Design
H = scidoe_ccdesign(3,"type","inscribed","alpha","rotatable")
// Orthogonal CCD with 2 2 center points in the factorial block
// and 3 center points in the star points block
H = scidoe_ccdesign(3,"center",[2 3])

Bibliography

George E. P. Box, J. Stuart Hunter, William G. Hunter, "Statistics for experimenters Design,Innovation and Discovery", Second Edition, 2005

http://en.wikipedia.org/wiki/Central_composite_design

http://rgm2.lab.nig.ac.jp/RGM2/func.php?rd_id=rsm:ccd

http://www.mathworks.com/help/toolbox/stats/f56635.html

http://www.itl.nist.gov/div898/handbook/pri/section3/pri3361.htm

Authors


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