Bhartiya Krishi Anusandhan Patrika, volume 33 issue 1 & 2 (march & june 2018) : 113-115

Resolvable block designs balanced for non-directional neighbour effects 

Akhilesh Jha, Cini Varghese, Seema Jaggi, Mohd. Harun, Devendra Kumar
1<p style="text-align: justify;">ICAR-Indian Agricultural Statistics Research Institute, Library Avenue, New Delhi-110 012.</p>
  • Submitted|

  • First Online |

  • doi

Cite article:- Jha Akhilesh, Varghese Cini, Jaggi Seema, Harun Mohd., Kumar Devendra (NaN). Resolvable block designs balanced for non-directional neighbour effects . Bhartiya Krishi Anusandhan Patrika. 33(1): 113-115. doi: undefined.

When there is a constraint of cultivable land, experimental units are to be arranged side by side in compact blocks without gaps in between, the treatment applied to one experimental plot may affect the response on neighbouring plots besides the response to which it is applied. Neighbour-balanced designs, where in the allocation of treatments is such that every treatment occurs equally often with every other treatment as neighbours, can be advantageously used in such situations. These designs ensure that no treatment is unduly disadvantaged by its neighbours and also helps in estimating the neighbour effects besides the direct effects of treatments. Resolvable neighbour balanced designs are advisable if continuous area is not available for all replications. Methods for constructing a new series of resolvable block designs balanced for non-directional neighbour effects for prime or prime power of number of treatments (v) have been developed. The methods are discussed in detail along with appropriate examples in following section. 


  1. Ahmed, R. and Akhtar, M. (2011). Construction of neighbor balanced designs in linear blocks. Communications in Statistics-Theory and Methods, 40(17), 3198-3205. 

  2. Aldred, R.E.L., Bailey, R.A., Mckay, B.D. and Wanless, I.M. (2014). Circular designs balanced for neighbours at distances one and two, Biometrika, 101(4), 943-956. 

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

  4. Bhowmik, A., Jaggi, S., Varghese, C. and Varghese, E. (2012). Block designs balanced for second order interference effects from neighbouring experimental units. Statistics and Applications, 10, 1-12. 

  5. Bose, R. (1942). A note on the resolvability of balanced incomplete block designs. Sankhya: The Indian Journal of Statistics, 6, 105-110. 

  6. Jaggi, S. and Gupta, V.K. (2003). Statistical study on competition effects among neighbouring units in the field experiments. AP-Cess Project Report, ICAR-IASRI. 

  7. Jaggi, S., Sarika and Sharma, V.K. (2010). Response surface analysis incorporating neighbour effects from adjacent units. Indian Journal of Agricultural Sciences, 80(8), 719-723. 

  8. Kempton, R.A. and Lockwood, G. (1984). Inter-plot competition in variety trials of field beans (Vicia faba L.), Journal of Agricultural Sciences, 103(2), 293-302. 

  9. Pateria, D. K., Jaggi, S. and Varghese, C. (2009). Self-neighboured strongly balanced block designs. Journal of Indian Statistical Association, 47(1), 1-14. 

  10. Pateria, D.K., Jaggi, S., Varghese, C. and Das, M.N. (2007). Incomplete non-circular block designs for competition effects. Statistics and Applications, 5(1-2), 5-14. 

  11. Tomar, J.S., Jaggi, S. and Varghese, C. (2005). On totally balanced block designs for competition effects. Journal of Applied Statistics, 32(1), 87-97. 

Editorial Board

View all (0)