alternate.sol2

number of replications of the test treatments

number of replications of the control

number of concurrences of two test treatments

lambda1

number of concurrences of a test treatment with the control

lambda0

Incidence matrix obtained till the previous row

are the constraints being relaxed?

relaxed

This function returns an alternate solution for a particular row of incidence matrix with specified properties.

internal

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) <doi:10.1080/00401706.1984.10487989> A-Optimal Incomplete Block Designs for Control-Test Treatment Comparisons, Technometrics, 26, 363-370 and Mandal, B. N. , Gupta, V. K., Parsad, Rajender. (2017) <doi:10.1080/03610926.2015.1071394> Balanced treatment incomplete block designs through integer programming. Communications in Statistics - Theory and Methods 46(8), 3728-3737.

B N Mandal

Aoptbdtvc

A-Optimal Block Designs for Comparing Test Treatments with
Controls

Baidya Nath Mandal

Sukanta Dash

Rajender Parsad

alternate.sol2 function

<dl>	<dt>m</dt>
<dd>number of rows</dd>	<dt>n</dt>
<dd>number of columns</dd>	<dt>b</dt>
<dd>number of blocks</dd>	<dt>k</dt>
<dd>block size</dd>	<dt>r</dt>
<dd>number of replications of the test treatments</dd>	<dt>r0</dt>
<dd>number of replications of the control</dd>	<dt>lambda1</dt>
<dd>number of concurrences of two test treatments</dd>	<dt>lambda0</dt>
<dd>number of concurrences of a test treatment with the control</dd>	<dt>N1</dt>
<dd>Incidence matrix obtained till the previous row</dd>	<dt>T</dt>
<dd>Tabu list of deleted rows</dd>	<dt>relaxed</dt>
<dd>are the constraints being relaxed?</dd>	</dl>

Arguments

Baidya Nath Mandal &lt;mandal.stat@gmail.com&gt;

Author

Get an altnernate solution for particular row of incidence matrix — alternate.sol2

<dl>

	<dt>m</dt>
<dd>number of rows</dd>

	<dt>n</dt>
<dd>number of columns</dd>

	<dt>b</dt>
<dd>number of blocks</dd>

	<dt>k</dt>
<dd>block size</dd>

	<dt>r</dt>
<dd>number of replications of the test treatments</dd>

	<dt>r0</dt>
<dd>number of replications of the control</dd>

	<dt>lambda1</dt>
<dd>number of concurrences of two test treatments</dd>

	<dt>lambda0</dt>
<dd>number of concurrences of a test treatment with the control</dd>

	<dt>N1</dt>
<dd>Incidence matrix obtained till the previous row</dd>

	<dt>T</dt>
<dd>Tabu list of deleted rows</dd>

	<dt>relaxed</dt>
<dd>are the constraints being relaxed?</dd>

	</dl>

alternate.sol2: Get an altnernate solution for particular row of incidence matrix

Description

Usage

Value

Arguments

Author