Designs Robust Against the Presence of an Aberration in a Diallel Cross Design Setup |
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Authors: | Amrita Biswas Premadhis Das Nripes Kumar Mandal |
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Institution: | 1. Department of Bachelors of Business Administration , St. Xavier's College , Kolkata , India amristat@gmail.com;3. Department of Statistics , Kalyani University , West Bengal , India;4. Department of Statistics , University of Calcutta , Kolkata , India |
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Abstract: | In this article, we find designs insensitive to the presence of an outlier in a diallel cross design setup for estimating a complete set of orthonormal contrasts among the effects of the general combining abilities of a set of parental lines. The criterion of robustness, suggested by Mandal (1989
Mandal , N. K. ( 1989 ). On robust designs . Cal. Stat. Assoc. Bull. 38 : 115 – 119 . Google Scholar]) in block design setup and used by Biswas (2012
Biswas , A. ( 2012 ). Block designs robust against the presence of an aberration in a treatment-control setup . Commun. Statist. Theor. Meth. 41 : 920 – 933 .Taylor & Francis Online], Web of Science ®] , Google Scholar]) in treatment-control setup, is adapted here. Complete diallel cross designs, suggested by Gupta and Kageyama (1994
Gupta , S. ,
Kageyama , S. ( 1994 ). Optimal complete diallel crosses . Biometrika 81 : 420 – 424 .Crossref], Web of Science ®] , Google Scholar]), and partial diallel cross designs, suggested by Gupta et al. (1995
Gupta , S. ,
Das , A. ,
Kageyama , S. ( 1995 ). Single replicate orthogonal block designs for circulant partial diallel crosses . Commun. Statist. A 24 : 2601 – 2607 .Taylor & Francis Online] , Google Scholar]) and Mukerjee (1997
Mukerjee , R. ( 1997 ). Optimal partial diallel crosses . Biometrika 84 : 939 – 948 .Crossref], Web of Science ®] , Google Scholar]), are found to be robust under certain conditions. |
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Keywords: | Complete diallel crosses Diallel cross designs Outliers Partial diallel crosses Robust designs |
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