Design measures and approximate information matrices for experiments without replications
✍ Scribed by Werner G. Müller; Andrej Pázman
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 184 KB
- Volume
- 71
- Category
- Article
- ISSN
- 0378-3758
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✦ Synopsis
The concept of design measures is fundamental in the classical setup of experiments without restrictions on replications of observations (resulting designs are called continuous or approximate). In this paper we extend this concept to experiments, when no such replications are allowed. The resulting interpretation of the design measure is di erent from the classical case. We introduce a corresponding information matrix, which approximates the Fisher information matrix for exact designs. The basic aim of the paper is to ÿnd an optimum exact design with a restricted total number of observations. The usefulness of the developed approach is illustrated by an algorithm that is employed to calculate optimal or improved designs numerically.