MODIFIED SECOND ORDER SLOPE ROTATABLE DESIGNS USING BIBD

  • Victorbabu B. Re. (Department of Statistics, Acharya Nagarjuna University)
  • 발행 : 2006.06.01

초록

In this paper, a new method of modified second order slope rotatable designs (SOSRD) using balanced incomplete block designs (BIBD) for $4{\le}v{\le}16$ is presented. In this method the number of design points required is in some cases less than the number required in Victorbabu (2305) modified slope rotatable central composite designs. Further, a new method of construction of three level modified SOSRD using BIBD is presented. The modified SOSRD can be viewed as SOSRD constructed with the technique of augmentation of second order rotatable design (SORD) using BIBD to SOSRD. These designs are useful in parts to estimate responses and slopes with spherical variance functions.

키워드

참고문헌

  1. BOX, G. E. P. AND HUNTER, J. S. (1957). 'Multi-factor experimental designs for exploring response surfaces', The Annals of Mathematical Statistics, 28, 195-241 https://doi.org/10.1214/aoms/1177707047
  2. DAS, M. N. AND NARASIMHAM, V. L. (1962). 'Construction of rotatable designs through balanced incomplete block designs', The Annals of Mathematical Statistics, 33, 1421-1439 https://doi.org/10.1214/aoms/1177704374
  3. HADER, R. J. AND PARK, S. H. (1978). 'Slope-rotatable central composite designs', Technometrics, 20, 413-417 https://doi.org/10.2307/1267641
  4. PARK, S. H. (1987). 'A class of multifactor designs for estimating the slope of response surfaces', Technometrics, 29, 449-453 https://doi.org/10.2307/1269456
  5. RAGHAVARAO, D. (1971). Constructions and Combinatorial Problems in Design of Experiments, John Wiley & Sons, New York
  6. VICTORBABU, B. RE. (2002). 'A note on the construction of four and six level second order slope rotatable designs', Statistical Methods, 4, 11-20
  7. VICTORBABU, B. RE. (2005). 'Modified Slope Rotatable Central Composite Designs', Journal of the Korean Statistical Society, 34, 153-160
  8. VICTORBABU, B. RE. AND NARASIMHAM, V. L. (1991). 'Construction of second order slope rotatable designs through balanced incomplete block designs', Communications in Statistics-Theory and Methods, 20, 2467-2478 https://doi.org/10.1080/03610929108830644
  9. VICTORBABU, B. RE. AND NARASIMHAM, V. L. (1993). 'Construction of three level second order slope rotatable designs using balanced incomplete block designs', Pakistan Journal of Statistics, 9, 91-95
  10. VICTORBABU, B. RE. AND NARASIMHAM, V. L. (1994, 1995). 'Augmented second order rotatable design as second order slope rotatable design', Gujarat Statistical Review, Vols. 21 and 22. 31-36