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タイトル A Note on Estimation of the Effects in the Experimental Design using Fourier Transforms
著者 Yoshifumi Ukita 、Toshiyasu Matsushima
年度 2010
形式 国内学会
分野 その他
掲載雑誌名 電子情報通信学会ソサイエティ大会, 基礎境界講演論文集
掲載号・ページ p.73
掲載年 2010
掲載月 9
アブスト
(日本語)
学会名:電子情報通信学会ソサイエティ大会
日程:程:2010年9月14日~9月17日
場所:大阪府
アブスト
(英語)
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.
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