On comparing the prediction variances of some central composite designs in spherical regions: a review


  • Polycarp E. Chigbu University of Nigeria, Nsukka
  • Eugene C. Ukaegbu University of Nigeria, Nsukka
  • Julius C. Nwanya University of Nigeria, Nsukka




Three second-order response surface designs, namely: central composite design, small composite design and minimum-run resolution V design are compared for factors 3 to 7 in spherical regions using the G- and I- optimality criteria. The structures of the response variances of the designs are displayed graphically using the variance dispersion graphs. The maximum and average response variances are determined analytical as functions of the radii of the design region. Results for the G- and I- optimality criteria are obtained for a spherical region. The results suggest that none of the designs is uniformly better than the others with respect to the optimality criteria and the variance dispersion graphs for the factors considered.


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How to Cite

Chigbu, P. E., Ukaegbu, E. C., & Nwanya, J. C. (2009). On comparing the prediction variances of some central composite designs in spherical regions: a review. Statistica, 69(4), 285–298. https://doi.org/10.6092/issn.1973-2201/3560