Banner
Current IssueEditorial BoardOnline First ArticlesArchive
Current IssueEditorial BoardOnline First ArticlesArchive

Research Article

volume 35 issue 1-2 (march-june 2020) : 98-101,   Doi: 10.18805/BKAP208

Asymmetrical response surface designs in the presence of neighbour effects

A
Ankita Verma
S
Seema Jaggi
C
Cini Varghese Arpan Bhowmik
A
Anindita Datta
E
Eldho Varghese
1<div style="text-align: justify;">ICAR-Central Marine Fisheries Research Institute, Kochi - 682 018, Kerala</div>

  • Submitted06-06-2020|

  • Accepted18-07-2020|

  • First Online 10-09-2020|

  • doi 10.18805/BKAP208

Cite article:- Verma Ankita, Jaggi Seema, Bhowmik Arpan Varghese Cini, Datta Anindita, Varghese Eldho (2020). Asymmetrical response surface designs in the presence of neighbour effects. Bhartiya Krishi Anusandhan Patrika. 35(1): 98-101. doi: 10.18805/BKAP208.

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.

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. 
Published In
Bhartiya Krishi Anusandhan Patrika
Article Metrics
Metrics Icon
0
Views
0
Citations
Reviewed By
Share Article
Download Article
In this Article
    Contact us
    Follow us

    Research Article

    volume 35 issue 1-2 (march-june 2020) : 98-101,   Doi: 10.18805/BKAP208

    Asymmetrical response surface designs in the presence of neighbour effects

    A
    Ankita Verma
    S
    Seema Jaggi
    C
    Cini Varghese Arpan Bhowmik
    A
    Anindita Datta
    E
    Eldho Varghese
    1<div style="text-align: justify;">ICAR-Central Marine Fisheries Research Institute, Kochi - 682 018, Kerala</div>

    • Submitted06-06-2020|

    • Accepted18-07-2020|

    • First Online 10-09-2020|

    • doi 10.18805/BKAP208

    Cite article:- Verma Ankita, Jaggi Seema, Bhowmik Arpan Varghese Cini, Datta Anindita, Varghese Eldho (2020). Asymmetrical response surface designs in the presence of neighbour effects. Bhartiya Krishi Anusandhan Patrika. 35(1): 98-101. doi: 10.18805/BKAP208.

    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.

    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. 
    In this Article
      Contact us
      Follow us
      Published In
      Bhartiya Krishi Anusandhan Patrika

      Editorial Board

      View all (0)