Construction for the useful classes of minimal circular neighbor designs: A comprehensive framework
The primary source of bias in the estimation of treatment effect is neighbor effect which can occur in a variety of experiments. This kind of prejudice is reduced by the usage of neighbor balance designs. This article explains the logic behind developing the constructors by using the method of cycli...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-02-01
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| Series: | Heliyon |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2405844025008266 |
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| author | Khadija Noreen Javid Shabbir M.H. Tahir Akbar Fardos Rashid Ahmed Olayan Albalwi |
| author_facet | Khadija Noreen Javid Shabbir M.H. Tahir Akbar Fardos Rashid Ahmed Olayan Albalwi |
| author_sort | Khadija Noreen |
| collection | DOAJ |
| description | The primary source of bias in the estimation of treatment effect is neighbor effect which can occur in a variety of experiments. This kind of prejudice is reduced by the usage of neighbor balance designs. This article explains the logic behind developing the constructors by using the method of cyclic shifts, which yields sets of shifts for possible combinations of v and k to generate minimal circular balanced neighbor designs and their generalized classes when the effects of left-neighbor and right-neighbor are equal. These constructors make it simple to create a number of practical neighbor design classes. The process of creating the constructors will serve as the foundation for the researchers to create additional constructors for novel designs with additional crucial characteristics. |
| format | Article |
| id | doaj-art-3fcef540ad3a40d79015e859c71d9c4b |
| institution | Kabale University |
| issn | 2405-8440 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Heliyon |
| spelling | doaj-art-3fcef540ad3a40d79015e859c71d9c4b2025-02-08T05:00:45ZengElsevierHeliyon2405-84402025-02-01113e42446Construction for the useful classes of minimal circular neighbor designs: A comprehensive frameworkKhadija Noreen0Javid Shabbir1M.H. Tahir2Akbar Fardos3Rashid Ahmed4Olayan Albalwi5Department of Statistics, The Islamia University of Bahawalpur, PakistanDepartment of Statistics, University of Wah, Wah Cantt, Pakistan; 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, PakistanDepartment of Statistics, Faculty of Science, University of Tabuk, Saudi ArabiaThe primary source of bias in the estimation of treatment effect is neighbor effect which can occur in a variety of experiments. This kind of prejudice is reduced by the usage of neighbor balance designs. This article explains the logic behind developing the constructors by using the method of cyclic shifts, which yields sets of shifts for possible combinations of v and k to generate minimal circular balanced neighbor designs and their generalized classes when the effects of left-neighbor and right-neighbor are equal. These constructors make it simple to create a number of practical neighbor design classes. The process of creating the constructors will serve as the foundation for the researchers to create additional constructors for novel designs with additional crucial characteristics.http://www.sciencedirect.com/science/article/pii/S2405844025008266Circular blockLeft-neighborPartially balancedRight-neighborWeakly balanced |
| spellingShingle | Khadija Noreen Javid Shabbir M.H. Tahir Akbar Fardos Rashid Ahmed Olayan Albalwi Construction for the useful classes of minimal circular neighbor designs: A comprehensive framework Heliyon Circular block Left-neighbor Partially balanced Right-neighbor Weakly balanced |
| title | Construction for the useful classes of minimal circular neighbor designs: A comprehensive framework |
| title_full | Construction for the useful classes of minimal circular neighbor designs: A comprehensive framework |
| title_fullStr | Construction for the useful classes of minimal circular neighbor designs: A comprehensive framework |
| title_full_unstemmed | Construction for the useful classes of minimal circular neighbor designs: A comprehensive framework |
| title_short | Construction for the useful classes of minimal circular neighbor designs: A comprehensive framework |
| title_sort | construction for the useful classes of minimal circular neighbor designs a comprehensive framework |
| topic | Circular block Left-neighbor Partially balanced Right-neighbor Weakly balanced |
| url | http://www.sciencedirect.com/science/article/pii/S2405844025008266 |
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