This function generates symmetrical rotatable response surface designs in the presence of neighbour effects for n1 factors each at s1 levels.

Response surface designs with neighbour effects are suitable for experimental situations
where it is expected that the treatment combination administered to one experimental unit
may affect the response on neighboring units as well as the response on the unit to which it is applied (Dalal et al.,2025 <doi: 10.57805/revstat.v23i2.513>).
Integrating these effects in the response surface model improves the experiment's precision
(Jaggi, S., Sarika and Sharma, V.K. (2010)<doi:10.5555/20103265373>;
Verma A., Jaggi S., Varghese, E.,Varghese, C.,Bhowmik, A., Datta, A. and Hemavathi M. (2021)<doi: 10.1080/03610918.2021.1890123>).
This package includes sym(), asym1(), asym2(), asym3() and asym4() functions that generates response surface designs which are rotatable under a
polynomial model of a given order without interaction term incorporating neighbour effects.

Ashutosh Dalal

rsdNE

Response Surface Designs with Neighbour Effects (rsdNE)

Seema Jaggi

Eldho Varghese

Subhasish Sarkar

Arpan Bhowmik

Cini Varghese

Anindita Datta

Soumen Pal

sym function

<dl><dt>s1</dt>
<dd>Number of levels of n1 factors, 1&lt;s1&lt;=6</dd>
<dt>n1</dt>
<dd>Number of factors, 1&lt;n1&lt;=4</dd>
<dt>c</dt>
<dd>Value of alpha (Coefficient of neighbour effects), 0&lt;=c&lt;=1</dd></dl>

Arguments

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.

Author

This generates a class of symmetric rotatable response surface designs with neighbour effects under a polynomial model of order (s1-1) — sym

<dl>

<dt>s1</dt>
<dd>Number of levels of n1 factors, 1&lt;s1&lt;=6</dd>


<dt>n1</dt>
<dd>Number of factors, 1&lt;n1&lt;=4</dd>


<dt>c</dt>
<dd>Value of alpha (Coefficient of neighbour effects), 0&lt;=c&lt;=1</dd>

</dl>

sym: This generates a class of symmetric rotatable response surface designs with neighbour effects under a polynomial model of order (s1-1)

Description

Usage

Value

Arguments

Author

References

Examples