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Aoptbdtvc (version 0.0.3)

A-Optimal Block Designs for Comparing Test Treatments with Controls

Description

A collection of functions to construct A-optimal block designs for comparing test treatments with one or more control(s). Mainly A-optimal balanced treatment incomplete block designs, weighted A-optimal balanced treatment incomplete block designs, A-optimal group divisible treatment designs and A-optimal balanced bipartite block designs can be constructed using the package. The designs are constructed using algorithms based on linear integer programming. To the best of our knowledge, these facilities to construct A-optimal block designs for comparing test treatments with one or more controls are not available in the existing R packages. For more details on designs for tests versus control(s) comparisons, please see Hedayat, A. S. and Majumdar, D. (1984) A-Optimal Incomplete Block Designs for Control-Test Treatment Comparisons, Technometrics, 26, 363-370 and Mandal, B. N. , Gupta, V. K., Parsad, Rajender. (2017) Balanced treatment incomplete block designs through integer programming. Communications in Statistics - Theory and Methods 46(8), 3728-3737.

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Version

Install

install.packages('Aoptbdtvc')

Monthly Downloads

260

Version

0.0.3

License

GPL (>= 2)

Maintainer

B N Mandal

Last Published

January 29th, 2024

Functions in Aoptbdtvc (0.0.3)

check.group

g function
alternate.sol2

Get an altnernate solution for particular row of incidence matrix
getrow3

Get a particular row of incidence matrix
getwq

Value of w and q which minimize g function
alternate.sol3

Get an altnernate solution for particular row of incidence matrix
getrow2

Get a particular row of incidence matrix
gbbpb

g function
g

g function
bbpbwq

BBPB design with given parameters
getts

Value of t and s which minimize g function
getrow

Get a particular row of incidence matrix
block.design

Block design from given incidence matrix
wtaoptbtib

Weighted A-optimal balanced treatment incomplete block designs
btibts

BTIB design with given parameters
getr0

getr0
alternate.sol

Get an altnernate solution for particular row of incidence matrix
aoptgdtd

A-optimal group divisible treatment designs
aoptbbpb

A-optimal balanced bipartite block designs