| EPSRC Reference: |
GR/K72247/01 |
| Title: |
ALGEBRAIC GEOMETRY FOR THE DESIGN OF EXPERIMENTS |
| Principal Investigator: |
Wynn, Professor HP |
| Other Investigators: |
|
| Researcher Co-Investigators: |
|
| Project Partners: |
|
| Department: |
Statistics |
| Organisation: |
University of Warwick |
| Scheme: |
Standard Research (Pre-FEC) |
| Starts: |
01 December 1995 |
Ends: |
30 November 1998 |
Value (£): |
119,512
|
| EPSRC Research Topic Classifications: |
| Statistics & Appl. Probability |
|
|
| EPSRC Industrial Sector Classifications: |
|
| Related Grants: |
|
| Panel History: |
|
|
Summary on Grant Application Form |
|
The standard definition of an experimental design is a set of points in a design space is replaced by the algebraic variety giving the points. The ideal I is the set of (multivariate) polynomials with zeros at the points. If R is the ring of polynomials in m factors the quotient vector space R/I gives all identifiable models. The quotient operation can be performed with respect to a Grbner Basis. This allows the use of packages such as MAPLE, MACAULEY and COCOA which will develop theory, computer tools and application to a range of industrially and theoretically important models: mixture, lattice models for Fourier regression, non-linear models. Where possible complex industrial experiments will be studied.
|
|
Key Findings |
|
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
|
|
Potential use in non-academic contexts |
|
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
|
|
Impacts |
|
| Description |
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk |
| Summary |
|
| Date Materialised |
|
|
|
|
Sectors submitted by the Researcher |
|
This information can now be found on Gateway to Research (GtR) http://gtr.rcuk.ac.uk
|
| Project URL: |
|
| Further Information: |
|
| Organisation Website: |
http://www.warwick.ac.uk |