在两个不同尺寸的块中，为最小圆形一般邻居设计的新发电机

Q4 Mathematics Statistics in Transition Pub Date : 2023-03-15 DOI:10.59170/stattrans-2023-021

Muhammad Nadeem, Khadija Noreen, H. M. Kashif Rasheed, Rashid Ahmed, Mahmood Ul Hassan

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引用次数: 0

摘要

当治疗的反应（直接效果）受到相邻单元中应用的治疗的影响时，使用最小相邻设计（ND）。当无法构建最小NDs时，首选最小广义NDs。通过循环移位的方法（规则I），讨论了最小循环广义NDs存在的条件，其中v/2个无序对不作为邻居出现。还开发了某些生成器，以在两个不同大小的块中获得最小圆形广义NDs，其中k2=3、4和5。所有这些设计都是使用k1的i组移位和k2的2组移位来构造的。

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New generators for minimal circular generalised neighbour designs in blocks of two different sizes

Minimal neighbour designs (NDs) are used when a response of a treatment (direct effect) is affected by the treatment(s) applied in the neighbouring units. Minimal generalised NDs are preferred when minimal NDs cannot be constructed. Through the method of cyclic shifts (Rule I), the conditions for the existence of minimal circular generalised NDs are discussed, in which v/2 unordered pairs do not appear as neighbours. Certain generators are also developed to obtain minimal circular generalised NDs in blocks of two different sizes, where k2 = 3, 4 and 5. All these designs are constructed using i sets of shifts for k1 and two for k2.

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来源期刊

Statistics in Transition Decision Sciences-Statistics, Probability and Uncertainty

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

9 weeks

期刊介绍： Statistics in Transition (SiT) is an international journal published jointly by the Polish Statistical Association (PTS) and the Central Statistical Office of Poland (CSO/GUS), which sponsors this publication. Launched in 1993, it was issued twice a year until 2006; since then it appears - under a slightly changed title, Statistics in Transition new series - three times a year; and after 2013 as a regular quarterly journal." The journal provides a forum for exchange of ideas and experience amongst members of international community of statisticians, data producers and users, including researchers, teachers, policy makers and the general public. Its initially dominating focus on statistical issues pertinent to transition from centrally planned to a market-oriented economy has gradually been extended to embracing statistical problems related to development and modernization of the system of public (official) statistics, in general.