getrow

number of replications of the test treatments

number of replications of the control

number of concurrences of two test treatments

lambda

number of concurrences of a test treatment with the control

lambda0

Incidence matrix obtained till the previous row

rownum

are the constraints being relaxed? TRUE or FALSE

relaxed

This function returns 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

getrow function

<dl>	<dt>v</dt>
<dd>number of test treatments</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>lambda</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>rownum</dt>
<dd>the row number being obtained</dd>	<dt>relaxed</dt>
<dd>are the constraints being relaxed? TRUE or FALSE</dd>	</dl>

Arguments

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

Author

Get a particular row of incidence matrix — getrow

<dl>

	<dt>v</dt>
<dd>number of test treatments</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>lambda</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>rownum</dt>
<dd>the row number being obtained</dd>

	<dt>relaxed</dt>
<dd>are the constraints being relaxed? TRUE or FALSE</dd>

	</dl>

getrow: Get a particular row of incidence matrix

Description

Usage

Value

Arguments

Author