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General construction of minimal balanced repeated measurements designs in non-circular periods of k different sizes
Communications in Statistics - Simulation and Computation ( IF 0.9 ) Pub Date : 2020-12-24 , DOI: 10.1080/03610918.2020.1861292
Muhammad Abdullah 1 , H. M. Kashif Rasheed 1 , Rashid Ahmed 1
Affiliation  

Abstract

Repeated measurements designs (RMDs) are most important and useful designs in research of various fields due to their economical property but residual or carry over effects are integral parts of these designs. To cope with these problems, balanced or strongly balanced RMDs should be used. In this manuscript Generators are developed to obtain balanced, strongly balanced and weakly balanced not circular repeated measurements designs (BRMDs, SBRMDs and WBRMDs) for k periods. This is an extension of Abdullah et al. (2019 Abdullah, M., R. Ahmed, M. H. Tahir, and M. Daniyal. 2019. Minimal non-circular balanced and strongly balanced repeated measurements designs. Communications in Statistics - Simulation and Computation. Advance online publication. In Press. doi:10.1080/03610918.2019.1614624.[Taylor & Francis Online], [Web of Science ®] , [Google Scholar]) where BRMDs and SBRMDs are constructed for one, two and three periods of different sizes. Efficiencies of these designs for direct and residual effects are also computed.



中文翻译:

k种不同大小的非循环周期最小平衡重复测量设计的一般构造

摘要

重复测量设计 (RMD) 因其经济性而成为各个领域研究中最重要和最有用的设计,但残留或遗留效应是这些设计的组成部分。为了解决这些问题,应该使用平衡或强平衡的 RMD。在这份手稿中,生成器的开发是为了获得 k 个周期的平衡、强平衡和弱平衡非循环重复测量设计(BRMD、SBRMD 和 WBRMD)。这是 Abdullah 等人的延伸。( 2019 阿卜杜拉,M.R.艾哈迈德MH塔希尔M. Daniyal2019 年最小非循环平衡和强平衡重复测量设计统计通讯——模拟和计算。提前在线发布。在新闻。内政部:10.1080/03610918.2019.1614624[Taylor & Francis Online]、[Web of Science®]  、[Google Scholar]),其中 BRMD 和 SBRMD 是针对不同大小的一期、二期和三期构建的。还计算了这些设计的直接效应和残余效应的效率。

更新日期:2020-12-24
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