rsdNE (version 1.2.0)

asym4: This generates a class of asymmetric rotatable response surface designs with neighbour effects under a polynomial model of order max(s1,s2)-1

Description

This function generates asymmetrical rotatable response surface designs in the presence of neighbour effects for (n1 + n2) factors, n1 factors at s1 levels and another n2 factors at s2 levels.

Usage

asym4(s1, n1, s2, n2, s3, n3, c = 0.1)

Value

his function generates rotatable designs as well as Z_prime_Z matrix, inv(Z_primeZ) matrix and variance estimated response for the (s1^n1 * s2^n2) factorial combination.

Arguments

s1

Number of levels of n1 factors, 1<s1<=8

n1

Number of factors possesses s1 levels, 1<=n1<=4

s2

Number of levels of n2 factors, 1<s2<=8

n2

Number of factors possesses s2 levels, 1<=n2<=4

s3

Number of levels of n3 factors, 1<s3<=8

n3

Number of factors possesses s3 levels, 1<s3<=8

c

Value of alpha (Coefficient of neighbour effects), 0<=c<=1

Author

Ashutosh Dalal, Division of Design of Experiments,ICAR-IASRI, New Delhi. Seema Jaggi, Education Division, ICAR, Krishi Anusandhan Bhawan - II, Pusa, New Delhi. Eldho Varghese,Fishery Resources Assessment Division,ICAR-CMFRI, Kochi. Subhasish Sarkar, Division of Computer Application,ICAR-IASRI, New Delhi. Arpan Bhowmik, Division of Design of Experiments,ICAR-IASRI, New Delhi. Cini Varghese, Division of Design of Experiments,ICAR-IASRI, New Delhi. Anindita Datta, Division of Design of Experiments,ICAR-IASRI, New Delhi. Soumen Pal, Division of Computer Application,ICAR-IASRI, New Delhi.

References

Dalal, 2021, Unpublished M.Sc. Thesis, IARI, New Delhi Rotatable Response Surface Designs for S1^n1 x S2^n2 Incorporating Neighbour Effects by Dalal et al. 2025(<doi:https://doi.org/10.57805/revstat.v23i2.513>).

Examples

if (FALSE) {
library(rsdNE)
asym4(2,2,3,2,5,2,0.1)
}