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Biometrika 1999 86(2):453-458; doi:10.1093/biomet/86.2.453
© 1999 by Biometrika Trust
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Miscellanea. Optimal designs for diallel crosses with specific combining abilities

F-S ChaiA1 and R MukerjeeA2

A1 Institute of Statistical Science, Academia Sinica, Taipei 11529, Taiwan E-mail: stfschai@ccvax.sinica.edu.tw A2 Indian Institute of Management, Post Box No. 16757, Calcutta 700 027, India E-mail: rmuk1@hotmail.com

Optimal designs for diallel crosses are considered when, in addition to the block effects and general combining abilities, the model also includes specific combining abilities. It is seen that partially balanced incomplete block designs with the triangular association scheme play a key role in this context.

Key Words: Admissibility; Balance; Orthogonality; Triangular association scheme; Universal optimality.


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