Listy Biometryczne-Biometrical Letters Vol.36(2), 1999, pp.127-135


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EFFICIENCY OF CROPPING SYSTEM DESIGNS VIA DUAL DESIGNS*

Urszula Bronowicka-Mielniczuk, Jacek Mielniczuk, Tadeusz Przybysz

Department of Applied Mathematics, Agricultural University of Lublin,
Akademicka 13 20-934 Lublin


The topic of the paper is the efficiency of unequally replicated crop rotation designs. Incorporating the model of incomplete block designs we deal with designs of the class GCIB2. The extended notion of the canonical efficiency factors and average efficiency factor for unequally replicated designs are applied. The efficiency factors are derived via dual designs. Considerable simplicity is gained by the appropriate relations concerning parental and dual design. The key property exploited is that dual designs are cyclic designs.


Cyclic design, crop rotation, dual design, efficiency, generalized cyclic design
*The paper was submitted on the occasion of 70-th birthday of Professor Tadeusz CaliƄski