Equally spaced design points in polynomial regression: A comparison of systematic sampling methods with the optimal design of experiments |
| |
| Authors: | David R Bellhouse Agnes M Herzberg |
| |
| Institution: | 1. Department of Statistical and Actuarial Sciences The University of Western Ontario London, Ontario N6A 5B9;2. Department of Mathematics Imperial College of Science and Technology Huxley Building, Queen's Gate London SW7 2BZ, England |
| |
| Abstract: | In some situations an experimenter may desire to have equally spaced design points. Three methods of obtaining such points on the interval —1,1]—namely systematic random sampling, centrally located systematic sampling, and a purposive systematic sampling method which includes the endpoints - 1 and 1 as two of the design points-are evaluated under the D-optimal and G-optimal criteria. These methods are also compared to the optimal designs in polynomial regression and to the limiting designs of Kiefer and Studden (1976). |
| |
| Keywords: | Orthogonal polynomials optimal experimental design equally spaced design points systematic sampling |
|
