Asords {AsymmetricSORDs}

Asymmetric Second Order Rotatable Designs

Description

This function generates ASORDs through the orthogonal transformation of central composite designs as per the procedure given by J.S. Mehta and M.N. Das (1968). It would be providing two types of asymmetric designs for a given number of treatments (v). It requires four input parameters viz., v(>2); number_of_pairs(>0); z= vector of real number of length equals to number_of_pairs; type="ccc" or "cci" and randomization=TRUE or FALSE.

Usage

Asords(v, number_of_pairs, z, type, randomization = FALSE, variance = FALSE)

Arguments

v

Number of input factors, v(>2)

number_of_pairs

Number of pairs of input factors for which asymmetry is required

z

A vector of real number and its length equals to number_of_pairs

type

Type of central composite design i.e. ccc or cci. "ccc" is for Central Composite Circumscribed designs and "cci" is for Central Composite Inscribed designs

randomization

It is for generating the randomized layout of the design. It takes either TRUE or FALSE and by default, it is set to FALSE

variance

This is for generating the moment matrix and prediction variance of the design based on a second order model. It gives unique prediction variance along with its frequencies. It takes either TRUE or FALSE and by default, it is set to FALSE

Value

Asymmetric Second Order Rotatable Designs (ASORDs) for a given v.

References

1) J.S. Mehta and M.N. Das (1968)." Asymmetric rotatable designs and orthogonal transformations".

2)M. Hemavathi, Eldho Varghese, Shashi Shekhar & Seema Jaggi (2020)<DOI: 10.1080/02664763.2020.1864817>." Sequential asymmetric third order rotatable designs (SATORDs)".

3) M. Hemavathi, Shashi Shekhar, Eldho Varghese, Seema Jaggi, Bikas Sinha & Nripes Kumar Mandal (2022)<DOI: 10.1080/03610926.2021.1944213>." Theoretical developments in response surface designs: an informative review and further thoughts".

Examples

library(AsymmetricSORDs)
Asords(5,2,c(2,3),"ccc",TRUE)