A note on relation between the Fourier coefficients and the effects in the experimental design

Yoshifumi Ukita*, Toshiyasu Matsushima

*この研究の対応する著者

研究成果: Conference contribution

抄録

It has recently been shown that the model in experimental design can be expressed in terms of an orthonormal system. In this case, 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. However, Fourier coefficients themselves do not provide a direct representation of the effect of each factor, and the relation between the Fourier coefficients and the effect of each factor has not yet been clarified. In this paper, we present theorems of the relation between the Fourier coefficients and the effect of each factor. By using these theorems, the effect of each factor can be easily obtained from the computed Fourier coefficients. Therefore, with the aid of an orthonormal system, it is possible to easily implement the estimation procedures as well as to understand how each factor affects the response variable in the model.

本文言語English
ホスト出版物のタイトルICICS 2011 - 8th International Conference on Information, Communications and Signal Processing
DOI
出版ステータスPublished - 2011 12 1
イベント8th International Conference on Information, Communications and Signal Processing, ICICS 2011 - Singapore, Singapore
継続期間: 2011 12 132011 12 16

出版物シリーズ

名前ICICS 2011 - 8th International Conference on Information, Communications and Signal Processing

Conference

Conference8th International Conference on Information, Communications and Signal Processing, ICICS 2011
国/地域Singapore
CitySingapore
Period11/12/1311/12/16

ASJC Scopus subject areas

  • コンピュータ ネットワークおよび通信
  • 情報システム
  • 信号処理

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