Designing experiments for multi-variable B-spline models
Woods, D.C., Lewis, S.M. and Dewynne, J.N. (2003) Designing experiments for multi-variable B-spline models. Sankhya, 65, 660-670.
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Description/Abstract
In a range of practical applications where a response cannot be adequately described by a low order polynomial, B-spline regression models for a single variable have proved useful for prediction. In this paper identifiable models for several explanatory variables are considered which are formulated from B-spline and monomial basis functions of known degree and with specified knots.
The use of search methods to find efficient designs under the V-, G- and D-optimality criteria is investigated. Two methods of constructing lists of feasible candidate points are described and compared across a variety of examples.
| Item Type: | Article |
|---|---|
| ISSNs: | 0581-5738 (print) |
| Related URLs: | |
| Subjects: | Q Science > QA Mathematics H Social Sciences > HA Statistics |
| Divisions: | University Structure - Pre August 2011 > School of Mathematics > Statistics |
| Item ID: | 29947 |
| Date Deposited: | 12 May 2006 |
| Last Modified: | 02 Mar 2012 12:47 |
| Contributors: | Woods, D.C. (Author) Lewis, S.M. (Author) Dewynne, J.N. (Author) |
| Date: | 2003 |
| Status: | Published |
| Contact Email Address: | D.C.Woods@maths.soton.ac.uk |
| URI: | http://eprints.soton.ac.uk/id/eprint/29947 |
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