CONSTRUCTION OF A NEW SERIES OF BALANCED INCOMPLETE BLOCK DESIGN

Authors

  • Shekar Goud T Department of Statistics, University College of Science, Osmania University, Hyderabad-7
  • Jayasree G Department of Statistics, University College of Science, Osmania University, Hyderabad-7
  • Bhatra Charyulu N.Ch Department of Statistics, University College of Science, Osmania University, Hyderabad-7

DOI:

https://doi.org/10.53555/eijms.v4i1.13

Keywords:

Symmetric Balanced Incomplete Block design, Efficiency, Optimality Criteria

Abstract

Incomplete Block Designs were introduced by Yates (1936) with a restriction on the block size that all treatments are not present in the blocks k < v, which are eliminating heterogeneity to a greater extent when the number of treatments is large. Several researchers made attempts on the existence and constructions of Incomplete Block Designs This paper presents a new series of construction of Balanced Incomplete Block Design using Partially Balanced incomplete Block Designs.

References

. Bhagwandas (1965): “Duals of incomplete block designs” Journal of Indian Statistical Association Bulletin, Vol. 3,

pp 30-37.

. Bose R.C. (1939): “On the Construction of Balanced Incomplete Block Designs”. Analysis of Eugenics, Vol. 9, pp

-399.

. Bhagwandas (1965): “Duals of incomplete block designs” Journal of Indian Statistical Association Bulletin, Vol. 3,

pp 30-37.

. Atiqullah M. (1961): “On a Property of Balanced Designs”, Biometrika, Vol. 48, pp 215218.

. Awad Rashmi and Banerjee S (2015): “Constructions of E-Optimum, Variance and Efficiency Balanced Designs”,

International Journal of Scientific and Innovative Mathematical Research, Vol. 5, pp 35-40

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Published

2018-06-27
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