A note on the degrees of freedom in an experimental design model based on an orthonormal system

Yoshifumi Ukita*, Toshiyasu Matsushima, Shigeichi Hirasawa

*この研究の対応する著者

研究成果: Conference contribution

抄録

Experiments usually aim to study how changes in various factors affect the response variable of interest. Since the response model used most often at present in experimental design is expressed through the effect of each factor, it is straightforward to ascertain how each factor affects the response variable. However, since the response model contains redundant parameters, we must calculate the degrees of freedom defined by the number of independent parameters in the analysis of variance. In this paper, we show that through a description of experimental design based on an orthonormal system, the response model can be expressed using only independent parameters. Hence, we do not have to calculate the degrees of freedom defined by the number of independent parameters.

本文言語English
ホスト出版物のタイトル2011 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2011 - Conference Digest
ページ2181-2185
ページ数5
DOI
出版ステータスPublished - 2011 12 23
イベント2011 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2011 - Anchorage, AK, United States
継続期間: 2011 10 92011 10 12

出版物シリーズ

名前Conference Proceedings - IEEE International Conference on Systems, Man and Cybernetics
ISSN(印刷版)1062-922X

Other

Other2011 IEEE International Conference on Systems, Man, and Cybernetics, SMC 2011
国/地域United States
CityAnchorage, AK
Period11/10/911/10/12

ASJC Scopus subject areas

  • 電子工学および電気工学
  • 制御およびシステム工学
  • 人間とコンピュータの相互作用

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