Efficient Regular Graph Generalized Neighbor Designs

Q. Mehmood, Z. Abbas, F. Shehzad, R. Ahmed

Abstract


In this study we have constructed a class of economical block designs called regular graph generalized
neighbor designs for circular blocks of size 4 and v ≤ 50. This class of design can provide an efficient
alternative of universally optimal neighbor designs. These designs will increase the applications of
regular graph designs particularly in the fields of serology, agro forestry and agriculture, etc. In terms
of efficiency factor, proposed designs are more efficient as compared with other generalized neighbor
designs. The two best designs, for v =26 and v =50, have percentage of upper bound 99.91% and 99.93%
respectively.

 


Full Text:

PDF

References


References

B.L. Misra, B. Das and S.M. Nutan, “Families of neighbor designs and

their analyses”, Commun. Stat. Simul. Comput., vol. 20, no. 2 and 3,

pp. 427-436, 1991.

N.K. Chaure and B.L. Misra, “On construction of generalized neighbor

design”, Sankhya B, vol. 58, pp. 245-253, 1996.

S.N. Mishra, “Families of proper generalized neighbor designs”, J. Stat.

Plan. Inference, vol. 137, pp. 1681-1686, 2007.

R.G. Kedia and B.L. Misra, “On construction of generalized neighbor

design of use in serology”, Stat Probab Lett., vol. 18, pp. 254-256, 2008.

R. Ahmed, M. Akhtar and M.H. Tahir, “Economical generalized

neighbor designs of use in serology”, Comput. Stat. Data Anal., vol. 53,

pp. 4584-4589, 2009.

M. Akhtar, R. Ahmed and F. Shehzad, “Generalized neighbor designs

in circular blocks”, World Appl. Sci. J., vol. 8, no. 2, pp. 161-166, 2010.

M.Z. Yab, F. Shehzad and R. Ahmed, “Proper generalized neighbor

designs in circular blocks”, J. Stat. Plan. Inference, vol. 140, pp. 3498-

, 2010.

F. Shehzad, M.Z. Yab and R. Ahmed, “Some series of proper

generalized neighbor designs”, J. Stat. Plan. Inference, vol. 141,

pp. 3808-3813, 2011.

I. Iqbal, M.H. Tahir, M.L. Aggarwal, A. Asghar and I. Ahmed,

“Generalized neighbor designs with block size 3”, J. Stat. Plan.

Inference, vol. 142, pp. 626-632, 2012.

S.A. Cakiroglu, “Optimal regular graph designs”, Stat. Comput.,

vol. 28, pp. 103-112, 2018.

I. Iqbal, M.H. Tahir and S.S.A. Ghazali, “Circular neighbor-balanced

designs using cyclic shifts”, Sci. China Math., vol. 52, no. 10, pp. 2243-

, 2009.

K. Hinkelmann, and O. Kempthorne, “Design and Analysis of

Experiments”, John and Wiley & Sons, Inc., Hoboken, New Jersey,


Refbacks

  • There are currently no refbacks.