| Version: | 1.0 |
| Date: | 2024-05-13 |
| Title: | Designs for Order-of-Addition Experiments |
| Author: | Baidya Nath Mandal [aut, cre], Rajender Parsad [aut], Sukanta Dash [aut] |
| Maintainer: | Baidya Nath Mandal <mandal.stat@gmail.com> |
| Depends: | R (≥ 4.4.0) |
| Imports: | lpSolve, combinat |
| Description: | A facility to generate efficient designs for order-of-additions experiments under pair-wise-order model, see Dennis K. J. Lin and Jiayu Peng (2019)."Order-of-addition experiments: A review and some new thoughts". Quality Engineering, 31:1, 49-59, <doi:10.1080/08982112.2018.1548021>. It also provides a facility to generate component orthogonal arrays under component position model, see Jian-Feng Yang, Fasheng Sun & Hongquan Xu (2020): "A Component Position Model, Analysis and Design for Order-of-Addition Experiments". Technometrics, <doi:10.1080/00401706.2020.1764394>. |
| License: | GPL-2 | GPL-3 [expanded from: GPL (≥ 2)] |
| Encoding: | UTF-8 |
| NeedsCompilation: | no |
| Packaged: | 2024-05-13 08:31:57 UTC; user17 |
| Repository: | CRAN |
| Date/Publication: | 2024-05-14 08:23:19 UTC |
binary representation of x (an element from 1 to m) with m components
Description
binary representation of x (an element from 1 to m) with m components
Usage
bin(x, m)
Arguments
x |
a positive integer less than or equal to m |
m |
number of components, a positive integer |
Value
a vector with elements 1 and 0
Examples
bin(x = 2, m = 4);
construct a component orthogonal array with m components
Description
construct a component orthogonal array with m components such that each pair of columns contains each (i != j) combinations lambda times
Usage
coa(m, lambda, ntrial)
Arguments
m |
a positive integer, currently supports less than 8 |
lambda |
a positive integer, usually 1 |
ntrial |
a positive integer, default is 10 |
Value
a component orthogonal array with m components
Examples
coa(m = 4, lambda = 1, ntrial = 10);
cycle elements of a vector by one element to right
Description
cycle elements of a vector by one element to right
Usage
cycle(x)
Arguments
x |
a vector |
Value
cycled vector
Examples
cycle(c(1, 2, 3));
construct a design for order-of-addition experiment under pwo model with n runs and m components
Description
construct a design for order-of-addition experiment under pwo model with n runs and m components
Usage
doofa.pwo(n, m)
Arguments
n |
a positive integer, preferably less than 100 |
m |
a positive integer, currently supports less than 8 |
Value
a design for order-of-addition experiment under pwo model with n runs and m components
Examples
doofa.pwo(5,3);
Repeat the process of design generation using doofa.pwo several times and return the best design
Description
Repeat the process of design generation using doofa.pwo several times and return the best design
Usage
gen.design2(n, m, num.repeat = 10)
Arguments
n |
number of runs, a positive integer |
m |
number of components, a positive integer |
num.repeat |
number of repeats, a positive integer |
Value
a design with D-efficiency
Examples
gen.design2(n = 5, m = 3, num.repeat = 10);
create an initial design of o-of-a with n rows and m columns
Description
create an initial design of o-of-a with n rows and m columns
Usage
initial.design(n, m)
Arguments
n |
a positive integer |
m |
a positive integer |
Value
a matrix with n rows and m columns
Examples
initial.design(n = 6, m = 3);
create a matrix of 1s with t rows
Description
create a matrix of 1s with t rows
Usage
one(t)
Arguments
t |
a positive integer |
Value
a matrix of 1s with t rows
Examples
one(3);
create PWO ordering of a given run of a design
Description
create PWO ordering of the given run
Usage
pwo(x)
Arguments
x |
a numeric vector containing elements 1 to m in some order |
Value
PWO ordering of the given run
Examples
row = c(3,1,2)
pwo(row);
reverse of bin function i.e., returns which elements of a binary vector is 1
Description
reverse of bin function i.e., returns which elements of a binary vector is 1
Usage
revbin(x)
Arguments
x |
a vector with 0 and 1s such that there is only 1 |
Value
a postive integer m
Examples
revbin(c(0,1,0,0));
shuffle elements of a randomly chosen row of x matrix
Description
shuffle elements of a randomly chosen row of x matrix
Usage
shuffle(x)
Arguments
x |
a matrix |
Value
a matrix with shuffled elements of a row
Examples
x = matrix(c(3,1,2, 1,2,3,1,3,2,2,1,3),ncol = 3, byrow = TRUE)
shuffle(x);
swap elements at i and i+1 of a vector
Description
swap elements at i and i+1 of a vector
Usage
swap(x, i)
Arguments
x |
a vector |
i |
a positive integer, less than length of x |
Value
a vector with swapped elements
Examples
swap(c(1,2,3),2);
vectorized bin function
Description
vectorized bin function
Usage
vbin(x)
Arguments
x |
a vector of length m with positive integers less than or equal to m |
Value
a binary matrix
Examples
vbin(c(3,1,2));
vectorized revbin function
Description
vectorized revbin function
Usage
vrevbin(x, m)
Arguments
x |
a binary vector of length nm, such that each length of m has only one 1 and rest as 0 |
m |
a positive integer |
Value
a vector of n positive integers
Examples
vrevbin(x=c(0,0,1,0,1,0), m = 3);