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Biomirror  2011 

Robustness of Nested Balanced Incomplete Block Designs against Unavailability of One or More Observations

Keywords: Nested Balanced Incomplete Block Design , Efficiency of residual design , Mating Design , Youden Square Design , Latin Square Design.

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Abstract:

Mating designs are the study of progenies developed through variousmethods like Diallel Cross plans which are subjected to IncompleteBlock Designs. The concept of robustness in designs has been studiedand available in the literature. The paper dealt with a class of Nested Balanced Incomplete Block Designs for varying parametric valueswith unavailability of one or more observations and efficiencies arecalculated. The effects of missing blocks on Complete Diallel Crossdesigns are examined in this study. A-efficiencies based on non -zeroeigenvalues suggest that these designs are fairly robust. The investigation shows that Nested Balanced Incomplete Block Designsare fairly robust in terms of efficiency. In this paper, the robustness of Nested Balanced Incomplete Block Design when one or moreobservations are lost has been discussed.

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