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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Main Authors: Khadija Noreen, Talha Omer, Jamshaid ul Hassan, H.M. Kashif Rasheed, Rashid Ahmed
Format: Article
Language:English
Published: Elsevier 2023-08-01
Series:Journal of King Saud University: Science
Subjects:
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.
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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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