Circular First- and Second-Order Balanced Repeated Measurements Designs |
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Authors: | Ijaz Iqbal M H Tahir Syed Skahir Ali Ghazali |
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Institution: | 1. Department of Statistics , Bahuddin Zakariya University , Multan , Pakistan drijaziqbal@yahoo.com;3. Department of Statistics , The Islamia University of Bahawalpur , Bahawalpur , Pakistan |
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Abstract: | Sharma (1977 Sharma , V. K. ( 1977 ). Change-over designs with complete balance for first and second order residual effect . Canad. J. Statist. 5 : 121 – 132 .Crossref] , Google Scholar]) and Aggarwal et al. (2006
Aggarwal , M. L. ,
Deng , L.-Y. ,
Jha , M. K. ( 2006 ). Balanced residual treatment effects designs of first and second order . Statist. Probab. Lett. 76 : 597 – 600 .Crossref], Web of Science ®] , Google Scholar]) considered non circular construction of first- and second-order balanced repeated measurements designs. Sharma et al. (2002
Sharma , V. K. ,
Varghese , C. ,
Jaggi , S. ( 2002 ). On optimality of change-over designs balanced for first and second order residual effects . Metron 60 : 153 – 162 . Google Scholar]) constructed circular first- and second-order balanced repeated measurements designs only for a class with parameters (v, p = 3n, n = v 2) and also showed its universal optimality. In this article, we consider circular construction of first- and second-order balanced repeated measurements designs and strongly balanced repeated measurements designs by using the method of cyclic shifts. Some new circular designs with parameters (v, p, n) for cases p = v, p < v and p > v are given. |
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Keywords: | A-optimal Carry-over effects Circular balanced designs Cyclic shifts Second-order designs Strongly balanced designs |
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