ON THE CONSTRUCTION OF UNIVERSALLY OPTIMAL BLOCK DESIGNS WITH NESTED ROWS AND COLUMNS

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Published: Mar 1, 1996
DOI: https://doi.org/10.5556/j.tkjm.27.1996.4363
Keywords:
Balanced icomplete block design (BIBO) row-column design nested rows and columns universally optimal design

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HUNG LIN FU
Department of Applied Mathematics, National Chiao Tung University, Hsinchu, Taiwan, R.O.C.
HSIAO TIEN PAO
Department of Management Science, National Chiao Tung University, Hsinchu, Taiwan, R.O.C.

Abstract




This paper presents a simple method for constructing universally opti­ mal block designs with nested rows and columns for number of treatments greater than the number of columns. By allowing a near maximum trace in Δv,p,q, we pro­ pose an initial row-column design to achieve a completely symmetric information matrix in much lesser than v! blocks. This constructive method is then extended to the case when balanced incomplete block design is given in the columns.




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How to Cite
FU, H. L., & PAO, H. T. (1996). ON THE CONSTRUCTION OF UNIVERSALLY OPTIMAL BLOCK DESIGNS WITH NESTED ROWS AND COLUMNS. Tamkang Journal of Mathematics, 27(1), 67–76. https://doi.org/10.5556/j.tkjm.27.1996.4363
Issue
Vol. 27 No. 1 (1996)
Section
Papers
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References

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