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| Title | A Note on Estimation of the Effects in the Experimental Design using Fourier Transforms (in Japanese) |
|---|---|
| Authors | Yoshifumi Ukita 、Toshiyasu Matsushima |
| Released Year | 2010 |
| Format | Conference |
| Category | Others |
| Jounal Name | Proceedings of IEICE Society Conference, Engineering Sciences Society |
| Jounal Page | p.73 |
| Published Year | 2010 |
| Published Month | 9 |
| Abstract （English） |
Experiments usually aim to study how changes in various factors affect the response variable of interest. Since the model used most often at present in experimental design is expressed through the effect of each factor, it is easy to understand how each factor affects the response variable. However, since the model contains redundant parameters and is not expressed in terms of an orthonormal system, a considerable amount of time is necessary to implement the necessary procedure for estimating the effects. In this paper, we present theorems of the relation between the Fourier coefficients and the effect of each factor. From these theorems, the effect of each factor can be easily obtained from the computed 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. |
| Note （English） |
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| Manuscript | |
| Presentation |
