Some new constructions of minimal efficient circular nearly strongly balanced neighbor designs
Neighbor designs are popular to control neighbor effects. Among neighbor designs, strongly balanced neighbor designs are important to estimate treatment effects and neighbor effects independently. Minimal circular strongly balanced neighbor designs (MCSBNDs) can be obtained only for odd v (number of...
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Format: | Article |
Language: | English |
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Elsevier
2023-08-01
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Series: | Journal of King Saud University: Science |
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Online Access: | http://www.sciencedirect.com/science/article/pii/S1018364723002100 |
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author | Khadija Noreen Talha Omer Jamshaid ul Hassan H.M. Kashif Rasheed Rashid Ahmed |
author_facet | Khadija Noreen Talha Omer Jamshaid ul Hassan H.M. Kashif Rasheed Rashid Ahmed |
author_sort | Khadija Noreen |
collection | DOAJ |
description | Neighbor designs are popular to control neighbor effects. Among neighbor designs, strongly balanced neighbor designs are important to estimate treatment effects and neighbor effects independently. Minimal circular strongly balanced neighbor designs (MCSBNDs) can be obtained only for odd v (number of treatments). For v even, minimal circular nearly strongly balanced neighbor designs are used which satisfied all conditions of MCSBNDs except that the treatment labeled as (v − 1) does not appear as its own neighbor. These designs can be converted directly in some other useful classes of neighbor designs. These designs are efficient to minimize the bias due to the neighbor effects. |
first_indexed | 2024-03-12T22:26:21Z |
format | Article |
id | doaj.art-174fb104ce3e4071a7f5d125f681367d |
institution | Directory Open Access Journal |
issn | 1018-3647 |
language | English |
last_indexed | 2024-03-12T22:26:21Z |
publishDate | 2023-08-01 |
publisher | Elsevier |
record_format | Article |
series | Journal of King Saud University: Science |
spelling | doaj.art-174fb104ce3e4071a7f5d125f681367d2023-07-22T04:51:29ZengElsevierJournal of King Saud University: Science1018-36472023-08-01356102748Some new constructions of minimal efficient circular nearly strongly balanced neighbor designsKhadija Noreen0Talha Omer1Jamshaid ul Hassan2H.M. Kashif Rasheed3Rashid Ahmed4Department of Statistics, The Islamia University of Bahawalpur, PakistanDepartment of Economics, Finance and Statistics, Jönköping International Business School, Jönköping University, Sweden; Corresponding author.Department of Statistics, The Islamia University of Bahawalpur, PakistanDepartment of Statistics, The Islamia University of Bahawalpur, PakistanDepartment of Statistics, The Islamia University of Bahawalpur, PakistanNeighbor designs are popular to control neighbor effects. Among neighbor designs, strongly balanced neighbor designs are important to estimate treatment effects and neighbor effects independently. Minimal circular strongly balanced neighbor designs (MCSBNDs) can be obtained only for odd v (number of treatments). For v even, minimal circular nearly strongly balanced neighbor designs are used which satisfied all conditions of MCSBNDs except that the treatment labeled as (v − 1) does not appear as its own neighbor. These designs can be converted directly in some other useful classes of neighbor designs. These designs are efficient to minimize the bias due to the neighbor effects.http://www.sciencedirect.com/science/article/pii/S101836472300210005B0562K1062K05 |
spellingShingle | Khadija Noreen Talha Omer Jamshaid ul Hassan H.M. Kashif Rasheed Rashid Ahmed Some new constructions of minimal efficient circular nearly strongly balanced neighbor designs Journal of King Saud University: Science 05B05 62K10 62K05 |
title | Some new constructions of minimal efficient circular nearly strongly balanced neighbor designs |
title_full | Some new constructions of minimal efficient circular nearly strongly balanced neighbor designs |
title_fullStr | Some new constructions of minimal efficient circular nearly strongly balanced neighbor designs |
title_full_unstemmed | Some new constructions of minimal efficient circular nearly strongly balanced neighbor designs |
title_short | Some new constructions of minimal efficient circular nearly strongly balanced neighbor designs |
title_sort | some new constructions of minimal efficient circular nearly strongly balanced neighbor designs |
topic | 05B05 62K10 62K05 |
url | http://www.sciencedirect.com/science/article/pii/S1018364723002100 |
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