Construction of second order slope rotatable designs under tri-diagonal correlated structure of errors using central composite designs

  • Authors

    • Rajyalakshmi kottapalli Research scholar, Department of statistics, Acharya Nagarjuna University, Nagarjuna Nagar, Guntur
    • B. Re. Victorbabu Department of statistics, Acharya Nagarjun University, Guntur
    2014-07-15
    https://doi.org/10.14419/ijasp.v2i2.2306

  • In this paper, second order slope rotatable design (SOSRD) under tri-diagonal correlated structure of errors using central composite designs (CCD) is suggested.

    Keywords: Response Surface Designs, Rotatable Designs, Slope Rotatable Designs, Second Order Slope Rotatable Designs (SOSRD), Tri-Diagonal Correlated Errors.

  • References

    1. Box, G.E.P. and Hunter, J.S. (1957). Multifactor experimental designs for exploring response surfaces. Annals of Mathematical Statistics, 28, 195-241.
    2. Das, R.N. (1997). Robust second order rotatable designs: Part-I (RSORD). Calcutta Statistical Association Bulletin, 47, 199-214.
    3. Das, R.N. (1999). Robust second order rotatable designs (Part –II). Calcutta Statistical Association Bulletin. 49, 65-78.
    4. Das, R. N. (2003a). Robust second order rotatable designs: Part –III. Journal of the Indian Society of Agricultural Statistics, 56, 117-130.
    5. Das, R.N. (2003b). Slope Rotatability with correlated errors: Calcutta Statistical Association Bulletin, 54, 57-70.
    6. Das, R. N. and Park, S. H. (2009). Measure of Robust slope rotatability for second order response surface designs, Journal of Applied Statistics, 36, 755-767.
    7. Das, R.N, Park, S.H., and Aggarwal, M. L. (2010). On D-optimal robust second order slope-rotatable designs, Journal of Statistical Planning and Inference, 140, 1269-1279.
    8. Hader, R.J. and Park, S.H. (1978). Slope rotatable central composite designs. Technometrics 20, 413-417.
    9. Panda, R.N. and Das, R.N. (1994). First order rotatable designs with correlated errors. Calcutta Statistical Association Bulletin, 44, 83-101.
    10. Park, S.H. (1987). A Class of multifactor designs for estimating the slope of response surfaces, Technometrics, 29, 449-453.
    11. Raghavarao, D. (1971). Constructions and combinatorial problems in design of experiments, John Wiley, New York.

  • Downloads