Optimality of some circular balanced block designs under interference model with compound symmetry correlation | ||
| Journal of Statistical Modelling: Theory and Applications | ||
| دوره 4، شماره 1، فروردین 2023، صفحه 129-136 اصل مقاله (131.93 K) | ||
| نوع مقاله: Original Scientific Paper | ||
| شناسه دیجیتال (DOI): 10.22034/jsmta.2023.3380 | ||
| نویسندگان | ||
| Razieh Khodsiani* 1؛ Akram Fakhari-Esferizi2 | ||
| 1Department of Computer Science and Statistics, Faculty of Mathematics, K. N. Toosi University of Technology, Tehran, Iran | ||
| 2Department of Mathematical Sciences, Isfahan University of Technology, Isfahan, Iran | ||
| چکیده | ||
| For the interference models, the assumption is often made that the size of the blocks (k) is not greater than the number of treatments (t). Typically, it is difficult to specify optimal block designs theoretically or algorithmically when k> t. In this article, we focus on a one-sided interference model with compound symmetry correlation for the observations and obtain universally optimal block designs for both cases k≤ t and k>t. We present some methods for constructing these optimal designs for various numbers of treatments and block sizes. | ||
| کلیدواژهها | ||
| Circular block design؛ Compound symmetry structure؛ Interference model؛ neighbor balanced design؛ Universal optimality | ||
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آمار تعداد مشاهده مقاله: 128 تعداد دریافت فایل اصل مقاله: 76 |
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