| sym {rsdNE} | R Documentation |
This generates a class of symmetric rotatable response surface designs with neighbour effects under a polynomial model of order (s1-1)
Description
This function generates symmetrical rotatable response surface designs in the presence of neighbour effects for n1 factors each at s1 levels.
Usage
sym(s1, n1, c)
Arguments
s1 |
Number of levels of n1 factors, 1<s1<=6 |
n1 |
Number of factors, 1<n1<=4 |
c |
Value of alpha (Coefficient of neighbour effects), 0<=c<=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) factorial combination.
Author(s)
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
Sarika et al.2009, Communications in Statistics-Theory and Methods; Sarika et al.2013, Ars Combinatoria
Examples
library(rsdNE)
sym(2,2,0.5)
##output:
## X matrix
# [,1] [,2] [,3]
# [1,] 1 -1 -1
# [2,] 1 1 1
# [3,] 1 1 -1
# [4,] 1 -1 1
# [5,] 1 -1 -1
# [6,] 1 1 1
# [7,] 1 -1 1
# [8,] 1 1 -1
# [9,] 1 -1 -1
#[10,] 1 1 1
## Z prime Z matrix
# [,1] [,2] [,3]
#[1,] 32 0 0
#[2,] 0 4 0
#[3,] 0 0 4
## Z prime Z inverse matrix
# [,1] [,2] [,3]
#[1,] 0.03125 0.00 0.00
#[2,] 0.00000 0.25 0.00
#[3,] 0.00000 0.00 0.25
#[1] "total number of runs" "8"
#[1] "variance of esitmated response" "0.5312"