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New Diallel Cross Designs Through Resolvable Balanced Incomplete Block Designs for Field Experiments

New Diallel Cross Designs Through Resolvable Balanced Incomplete Block Designs for Field Experiments

Ijaz Iqbal1, Maqsooda Parveen1 and Zafar Mahmood2* 

1Department of Statistics, Bahauddin Zakariya University Multan, Pakistan; 2Department of Maths, Stats and Computer Science, UAP, Pakistan.

zafarjan@aup.edu.pk 

ABSTRACT

Designing of experiment has a key role in laying out the experiment in agriculture sciences. In this paper an investigation is made of a special kind of incomplete block design known as the resolvable balanced incomplete block design. An algorithm is presented to construct diallel cross design through resolvable balanced incomplete block design, which is established via cyclic shifts. Construction of diallel cross designs using the proposed approach is illustrated with an example. A list of efficient diallel cross design under resolvable balanced incomplete block design designs for 4≤v≤18 and 2≤ k ≤8 is advocate here.  

 

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Sarhad Journal of Agriculture

March

Vol. 37, Iss. 1, Pages 1-330

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