A New Dimension of Balanced Universally one Sided Design and its Satisfying Optimal Neighbour Condition

Authors

  • K Praphullo Singh Department of Statistics, Thambal Marik College, Oinam, P.O. Nambol, Manipur-795134, India

DOI:

https://doi.org/10.48165/

Keywords:

One Sided Circular Neighbour Balanced design, Universally Optimal, Equivalence class of sequences

Abstract

In an agricultural design of experiment the treatment received by a plot may affect the other response on the neighbouring plots of a same block or it may happen to affect the response on the following plot. For example of the second condition, the tall varieties may affect the other crops grown on the neighbouring plots by their shades. Bailey (2003) has developed such design concerned with the study of one sided neighbour effect, under the above mentioned second condition. This paper gives a new series of Universally Optimal One-Sided Circular Neighbour Balanced designs.

References

Azais, J. M., Bailey, R.A. and Monod. H. (1993). A catalogue of neighbour designs with border plots efficient, Biometrics, 49, 1252-1261.

Bailey, R. A. (2003). Designs for ONE-sided Neighbour Effect, Jour. Ind. Soc. Ag. Statistics, 56(3), 302- 314.

Bailey, R.A. and Druilhet, P. (2004). Optimality of neighbour balanced designs for total effects, Ann. Statist., 32, 1650-1661.

David, O. and Kempton, R. A. (1996). Designs for interference, Biometrics, 52,597-606.

Kumam, P. and Meitei, K.K. Singh. (2006). A contribution to Universally Optimal One Sided Neighbour Effect design, a contributed seminar paper to the International Conference On Statistics and Informatics in Agricultural Research, Indian Society of Agricultural Statistics, N. Delhi, 27-30, Dec. 60(3), 209.

Langton, S. (1990). Avoiding edge effects in agro forestry experiments; the use of neighbour- balanced designs and guard areas, Agro forestry systems, 12, 173-185.

Smart, L. E., Blight, M. M. Pickett, J. A. and Pye, B. J. (1994). Development of field strategies in corporating semiochemicals for the control of pea and bean Weevil (Sitona Lineatus L.), Crop. Protection, 13, 127-135.

Welham, S. J.; Baily, R. A; Kinsley, A. E. and Hide, G. A. (1996). Designing experiments to examine competition effects between neighbouring plants in mixed populations, In: XVIII International Biometric Conference Invited Papers, 97-105.

Published

2022-12-15

How to Cite

Singh, K.P. (2022). A New Dimension of Balanced Universally one Sided Design and its Satisfying Optimal Neighbour Condition. Bulletin of Pure & Applied Sciences- Mathematics and Statistics, 41(2), 147–152. https://doi.org/10.48165/