Circular weakly balanced cross-over designs in periods of two and three different sizes
Cross-over designs (CODs) have applications in many branches of scientific inquiry. The use of CODs can lead to carryover effects, which are the main source of bias in the estimation of treatment effects. In order to reduce bias, minimal balanced, minimal partially balanced, and minimal weakly balan...
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| Format: | Article |
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| Language: | English |
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Elsevier
2025-01-01
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| Series: | Kuwait Journal of Science |
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| Online Access: | https://www.sciencedirect.com/science/article/pii/S2307410824001743 |
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| collection | DOAJ |
| description | Cross-over designs (CODs) have applications in many branches of scientific inquiry. The use of CODs can lead to carryover effects, which are the main source of bias in the estimation of treatment effects. In order to reduce bias, minimal balanced, minimal partially balanced, and minimal weakly balanced CODs are preferred. In the literature, minimal weakly balanced CODs are reported for unequal period sizes when the first period is greater than the second period and so forth. In this article, the method of cyclic shifts is used to construct minimal partially balanced and minimal weakly balanced CODs for unequal period sizes of two and three, where the first period is less than the second period and so forth. All the proposed designs are efficient to control the carryover effects as well as to estimate the carryover effects and direct effects independently. © 2024 The Authors |
| format | Article |
| id | doaj-art-99ee31ce8aa14acb99cc67a60dfdb370 |
| institution | OA Journals |
| issn | 2307-4108 2307-4116 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Kuwait Journal of Science |
| spelling | doaj-art-99ee31ce8aa14acb99cc67a60dfdb3702025-08-20T02:10:28ZengElsevierKuwait Journal of Science2307-41082307-41162025-01-0152110034910.1016/j.kjs.2024.100349Circular weakly balanced cross-over designs in periods of two and three different sizesCross-over designs (CODs) have applications in many branches of scientific inquiry. The use of CODs can lead to carryover effects, which are the main source of bias in the estimation of treatment effects. In order to reduce bias, minimal balanced, minimal partially balanced, and minimal weakly balanced CODs are preferred. In the literature, minimal weakly balanced CODs are reported for unequal period sizes when the first period is greater than the second period and so forth. In this article, the method of cyclic shifts is used to construct minimal partially balanced and minimal weakly balanced CODs for unequal period sizes of two and three, where the first period is less than the second period and so forth. All the proposed designs are efficient to control the carryover effects as well as to estimate the carryover effects and direct effects independently. © 2024 The Authorshttps://www.sciencedirect.com/science/article/pii/S2307410824001743carryover effectscross-over designsdirect effectsestimation of treatment effectsrepeated measurements designsresidual effects |
| spellingShingle | Circular weakly balanced cross-over designs in periods of two and three different sizes Kuwait Journal of Science carryover effects cross-over designs direct effects estimation of treatment effects repeated measurements designs residual effects |
| title | Circular weakly balanced cross-over designs in periods of two and three different sizes |
| title_full | Circular weakly balanced cross-over designs in periods of two and three different sizes |
| title_fullStr | Circular weakly balanced cross-over designs in periods of two and three different sizes |
| title_full_unstemmed | Circular weakly balanced cross-over designs in periods of two and three different sizes |
| title_short | Circular weakly balanced cross-over designs in periods of two and three different sizes |
| title_sort | circular weakly balanced cross over designs in periods of two and three different sizes |
| topic | carryover effects cross-over designs direct effects estimation of treatment effects repeated measurements designs residual effects |
| url | https://www.sciencedirect.com/science/article/pii/S2307410824001743 |