Bhartiya Krishi Anusandhan Patrika

Asymmetrical response surface designs in the presence of neighbour effects

DOI: 10.18805/BKAP208    | Article Id: BKAP208 | Page : 98-101
Citation :- Asymmetrical response surface designs in the presence of neighbour effects.Bhartiya Krishi Anusandhan Patrika.2020.(35):98-101
Ankita Verma, Seema Jaggi, Cini Varghese Arpan Bhowmik, Anindita Datta and Eldho Varghese arpan.stat@gmail.com
Address :
ICAR-Central Marine Fisheries Research Institute, Kochi - 682 018, Kerala
Submitted Date : 6-06-2020
Accepted Date : 18-07-2020
First Online:

Abstract

In this article, we have discussed a general methodology for constructing Asymmetrical Response Surface Designs in the presence of Neighbour Effects. Methodology of form 2n´3 has been derived. Conditions have been derived for the near orthogonal estimation of coefficients of response model. Further, conditions for rotatability under these models have also been obtained. A method of constructing asymmetrical response surface designs i.e.2n´3 for fitting second order response surface in the presence of neighbour effects has been developed.

Keywords

Asymmetrical Response Estimation Neighbour Effects Parameters.

References

  1. Box, G.E. and Draper, N.R. (1987). Empirical model-building and response surface.    New York, Wiley.
  2. Draper, N.R. and Guttman, I. (1980). Incorporating overlap effects from neighbouring units into response surface models. Applied Statistics, 29(2), 128-134.
  3. 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.
  4. Khuri, A.I. and Cornell, J.A. (1996). Response surface designs and analyses. Mercel Dekker, New York.
  5. Khuri, A.I. (2017). Response surface    methodology and its applications in agricultural and food sciences. Biometrics and Biostatistics International Journal, 5(5), 141-151.
  6. Sarika, Jaggi, S. and Sharma, V.K. (2009). Second-order response surface model with neighbour effects. Communications in Statistics-Theory and Methods, 38(9), 1393-1403.
  7. Varghese, E., Jaggi, S. and Sharma, V. K. (2016). Rotatable response surface designs in the presence of differential neighbour effects from adjoining experimental units. Calcutta Statistical Association Bulletin, 67(3-4), 163-186. 

Global Footprints