- [Home]
- [Research achievement]
- [Research achievement detail]
| Title | A Description of Experimental Design on the Basis of an Orthonormal System (in Japanese) |
|---|---|
| Authors | Yoshifumi Ukita 、Toshiyasu Matsushima |
| Released Year | 2011 |
| Format | Journal |
| Category | Others |
| Jounal Name | Applications of Digital Signal Processing, Edited by Christian Cuadrado-Laborde, InTech Publisher, ISBN 978-953-307-406-1 |
| Jounal Page | pp.365--378 |
| Published Year | 2011 |
| Published Month | 11 |
| Abstract （English） |
In this chapter, we propose that the model of experimental design be expressed as an orthonormal system, and show that the model contains no redundant parameters. Then, the model is expressed by using Fourier coefficients instead of the effect of each factor. As there is an abundance of software for calculating the Fourier transform, such a system allows for a straightforward implementation of the procedures for estimating the Fourier coefficients by using Fourier transform. In addition, the effect of each factor can be easily obtained from the Fourier coefficients. Therefore, it is possible to implement easily the estimation procedures as well as to understand how each factor affects the response variable in a model based on an orthonormal system. Moreover, the analysis of variance can also be performed in a model based on an orthonormal system. Hence, it is clear that two main procedures in the experimental design, that is, the estimation of the effects and the analysis of variance can be executed in a description of experimental design on the basis of an orthonormal system. |
| Note （English） |
3 |
| Manuscript | |
| Presentation |
