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

Polycarp E. Chigbu, Eugene C. Ukaegbu and Julius C. Nwanya

Statistica, 2009, vol. 69, issue 4, 286-298

Abstract: 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 14 P.E. Chigbu, E.C. Ukaegbu, J.C. Nwanya obtained for a spherical region of radius, a = k where k is the number of factors under consideration. 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.

Date: 2009
References: Add references at CitEc
Citations: View citations in EconPapers (1)

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:bot:rivsta:v:69:y:2009:i:4:p:286-298

Access Statistics for this article

Statistica is currently edited by Department of Statistics, University of Bologna

More articles in Statistica from Department of Statistics, University of Bologna Contact information at EDIRC.
Bibliographic data for series maintained by Giovanna Galatà ().