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On the construction of balanced repeated measurements designs with good circular properties

作     者:Muhammad Daniyal Jigneshkumar Gondaliya Rashid Ahmed Muhammad Daniyal;Jigneshkumar Gondaliya;Rashid Ahmed

作者机构:Department of StatisticsThe Islamia University of BahawalpurBahawalpurPakistan Gujarat Commerce CollegeGujarat UniversityAhmedabadIndia 

出 版 物:《Statistical Theory and Related Fields》 (统计理论及其应用(英文))

年 卷 期:2023年第7卷第2期

页      面:121-129页

核心收录:

学科分类:07[理学] 0701[理学-数学] 070101[理学-基础数学] 

基  金:Centre for Discrete Engineering and Physical Sciences Research Council(EP/D063191/1) 

主  题:Carryover effects repeated measurement designs balanced repeated measurement designs strongly balanced repeated measurement designs circular nearly strongly balanced repeated measurement designs 

摘      要:Several fields,such as biological,medical,public health,agricultural sciences,etc.,require circular balanced repeated measurement designs with fewer unequal number of repeated measure-ments than the number of ***,the availability and high cost of experimental subjects in these fields prefer the design in fewer experimental ***,balancing the carryover effects of the treatments in minimal experimental subjects is one of the problems in this *** this paper,several new series of minimal circular nearly strongly balanced RMDs in periods of two and three different sizes are *** proposed construction of designs has high efficiency and,therefore,can save the cost of experimentations due to a fewer exper-imental *** of the designs are very useful because of the unavailability of strongly balanced RMDs for these combinations of parameters.A list of sets of shifts for the construction of minimal circular nearly SBRMDs has also been mentioned in the Appendix.

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