SORD_original {AsymmetricSORDs}

Second Order Rotatable Designs with original levels

Description

This function generates second order rotatable designs given in Das and Narasimham (1962) for a given number of input factors (3<=v<=16) with original levels along with coded levels of the factors. It gives the randomized layout of the design along with the moment matrix and prediction variance. Here, all the factors are having 5-levels except for v=7, which gives a rotatable design with 3-levels for each factor.

Usage

SORD_original(v, n0, min_L, max_L, randomization = FALSE, variance = FALSE)

Arguments

v

Number of input factors,v(3<=v<=16)

n0

Number of centre points,n0(>0)

min_L

A vector of minimum levels of the factors

max_L

A vector of maximum levels of the factors

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

Second-Order Rotatable Designs with original levels

References

1) M. N. Das and V. L. Narasimham (1962). "Construction of rotatable designs through balanced incomplete block designs".

2) 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)
SORD_original(4,3,c(10,15,20,25),c(15,20,25,30),FALSE,FALSE)