| Title: | Minimally Changed CCD and BBD |
|---|---|
| Description: | Generate central composite designs (CCD)with full as well as fractional factorial points (half replicate) and Box Behnken designs (BBD) with minimally changed run sequence. |
| Authors: | Shwetank Lall [aut, cre], Eldho Varghese [aut], Seema Jaggi [ctb], Cini Varghese [ctb], Arpan Bhowmik [ctb] |
| Maintainer: | Shwetank Lall <[email protected]> |
| License: | GPL (>= 2) |
| Version: | 1.0.0 |
| Built: | 2025-02-16 04:15:23 UTC |
| Source: | https://github.com/cran/minimalRSD |
For a given number of factors, say k, it generates 2^k factorial points such that the number of changes in the run sequence is minimum.
fact.pts(k)fact.pts(k)
k |
an integer greater than or equal to 2. |
For K number of factors, generate
factorial points with minimum level changes.
# For generating a full factorial for k=4 factors # in 2 levels with minimum level changes fact.pts(4)# For generating a full factorial for k=4 factors # in 2 levels with minimum level changes fact.pts(4)
For a given number of factors, say k, it generates 2^(k-1) factorial points such that the number of changes in levels in the half replicate is minimum.
fact.pts_2(k)fact.pts_2(k)
k |
an integer greter than or equal to 3. |
For K number of factors, generate
factorial points in half replication with minimum level changes.
# For generating a minimally changed half # replicate of full factorial with 4 factors # in 2 levels fact.pts_2(4)# For generating a minimally changed half # replicate of full factorial with 4 factors # in 2 levels fact.pts_2(4)
Generate Box Behnken design (BBD) with minimum level changes in the run sequence.
min_bbd(k)min_bbd(k)
k |
An integer greter than or equal to 3. |
returns a minimally changed BBD for the
number of input factors as v.
# To generate minimmaly changed BBD for k=4 factors min_bbd(4)# To generate minimmaly changed BBD for k=4 factors min_bbd(4)
Generate minimally changed run sequence for central composite designs (CCD).
min_ccd(k)min_ccd(k)
k |
an integer greater than or equal to 2. |
returns a minimally changed CCD for K
number of factors with full factorial points.
# Generate minimally changed CCD with full factorial points # for k=4 factors min_ccd(4)# Generate minimally changed CCD with full factorial points # for k=4 factors min_ccd(4)
Generate Minimally Changed Central Composite designs (CCD) with Fractional Factorial Points (Half Replicate)
min_ccd_2(k)min_ccd_2(k)
k |
An integer greter than or equal to 3. |
returns a minimally changed CCD for K
number of factors with half replicated factorial points.
# Generate minimally changed CCD with fractional # factorial points (half replicate) for k=4 factors min_ccd_2(4)# Generate minimally changed CCD with fractional # factorial points (half replicate) for k=4 factors min_ccd_2(4)
The minimalRSD package can be used to construct Central Composite Designs (CCD) with full as well as fractional factorial points(half replicate) and Box Behnken designs (BBD) with minimum number of changes in the levels of input factors. These designs help in providing reducing cost-effective Response Surface Designs (RSDs). This package provides three categories of important functions: min-bbd, min_ccd and min_ccd_2.
The package minimalRSD is an implementation of the concepts and theory discussed by Varghese et al. (2017). For detailed information and concepts users are advised to see the following reference.
min_bbd: Generate minimally changed BBD for a given number of input factors.
min_ccd: Generate minimally changed CCD for a given number of input factors.
min_ccd_2: Generate minimally changed CCD with fractinalfactorial points
(half replicate) for a given number of factors.
Shwetank Lall [email protected]
Eldho Varghese, Arpan Bhowmik,Seema Jaggi, Cini Varghese
and Shwetank Lall (2017). On the construction of response surface designs with
minimum level changes. Utilitas Mathematica, (under print).
Eldho Varghese, Arpan Bhowmik,Seema Jaggi, Cini Varghese
and Charanjit Kaur (2017). On the generation of cost
effective response surface designs. Computers and
Electronics in Agriculture, 133,37-45.
For a given design in matrix form, it counts the number of changes in levels of each factor as well as overall number of changes in the design.
num.ch(M)num.ch(M)
M |
a design matrix. |
returns the number of changes in levels of each factor and total number of such changes in the design
# For generating a minimally changed CCD with 4 factors des<-min_ccd(4) # To count the number of level changes in the generated design num.ch(des$CCD_design)# For generating a minimally changed CCD with 4 factors des<-min_ccd(4) # To count the number of level changes in the generated design num.ch(des$CCD_design)