Rotatable Response Surface Designs for S1^n1 x S2^n2 Incorporating Neighbour Effects
This paper describes the response surface methodology for mixed-level factors of the form S1n1 x S2n2 when experimental units are affected by the adjacent neighbouring units. Conditions have been derived for the orthogonal estimation of the parameters of the model. A method of construction has been...
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| Format: | Article |
| Language: | English |
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Instituto Nacional de Estatística | Statistics Portugal
2025-05-01
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| Series: | Revstat Statistical Journal |
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| Online Access: | https://revstat.ine.pt/index.php/REVSTAT/article/view/513 |
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| author | Ashutosh Dalal Seema Jaggi Eldho Varghese Arpan Bhowmik Cini Varghese Anindita Datta |
| author_facet | Ashutosh Dalal Seema Jaggi Eldho Varghese Arpan Bhowmik Cini Varghese Anindita Datta |
| author_sort | Ashutosh Dalal |
| collection | DOAJ |
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This paper describes the response surface methodology for mixed-level factors of the form S1n1 x S2n2 when experimental units are affected by the adjacent neighbouring units. Conditions have been derived for the orthogonal estimation of the parameters of the model. A method of construction has been developed and the developed designs satisfy the rotatability conditions. Some particular cases of S1n1 x S2n2 are described. An R package named rsdNE developed for the generation of these designs has also been discussed.
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| format | Article |
| id | doaj-art-173f5e099b4341208edb68e2c4ed9cee |
| institution | Kabale University |
| issn | 1645-6726 2183-0371 |
| language | English |
| publishDate | 2025-05-01 |
| publisher | Instituto Nacional de Estatística | Statistics Portugal |
| record_format | Article |
| series | Revstat Statistical Journal |
| spelling | doaj-art-173f5e099b4341208edb68e2c4ed9cee2025-08-20T03:47:41ZengInstituto Nacional de Estatística | Statistics PortugalRevstat Statistical Journal1645-67262183-03712025-05-0123210.57805/revstat.v23i2.513Rotatable Response Surface Designs for S1^n1 x S2^n2 Incorporating Neighbour EffectsAshutosh Dalal0Seema Jaggi1Eldho Varghese2Arpan Bhowmik3Cini Varghese4Anindita Datta5Indian Agricultural Statistics Research InstituteIndian Council of Agricultural ResearchICAR - Central Marine Fisheries Research InstituteIndian Agricultural Research InstituteIndian Agricultural Statistics Research InstituteIndian Agricultural Statistics Research Institute This paper describes the response surface methodology for mixed-level factors of the form S1n1 x S2n2 when experimental units are affected by the adjacent neighbouring units. Conditions have been derived for the orthogonal estimation of the parameters of the model. A method of construction has been developed and the developed designs satisfy the rotatability conditions. Some particular cases of S1n1 x S2n2 are described. An R package named rsdNE developed for the generation of these designs has also been discussed. https://revstat.ine.pt/index.php/REVSTAT/article/view/513mixed-level response surface designneighbour effectrotatable design |
| spellingShingle | Ashutosh Dalal Seema Jaggi Eldho Varghese Arpan Bhowmik Cini Varghese Anindita Datta Rotatable Response Surface Designs for S1^n1 x S2^n2 Incorporating Neighbour Effects Revstat Statistical Journal mixed-level response surface design neighbour effect rotatable design |
| title | Rotatable Response Surface Designs for S1^n1 x S2^n2 Incorporating Neighbour Effects |
| title_full | Rotatable Response Surface Designs for S1^n1 x S2^n2 Incorporating Neighbour Effects |
| title_fullStr | Rotatable Response Surface Designs for S1^n1 x S2^n2 Incorporating Neighbour Effects |
| title_full_unstemmed | Rotatable Response Surface Designs for S1^n1 x S2^n2 Incorporating Neighbour Effects |
| title_short | Rotatable Response Surface Designs for S1^n1 x S2^n2 Incorporating Neighbour Effects |
| title_sort | rotatable response surface designs for s1 n1 x s2 n2 incorporating neighbour effects |
| topic | mixed-level response surface design neighbour effect rotatable design |
| url | https://revstat.ine.pt/index.php/REVSTAT/article/view/513 |
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