A study 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: Article査読

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, in the analysis of variance we must calculate the degrees of freedom defined by the number of independent parameters. In this letter, we propose the idea of calculating the degrees of freedom over the model based on an orthonormal system for the first time. In this way, we can easily obtain the number of independent parameters associated with any component, which reduces the risk of mistakes in the calculation of the number of independent parameters and facilitates the implementation of estimation procedures.

本文言語English
ページ(範囲)658-662
ページ数5
ジャーナルIEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
E96-A
2
DOI
出版ステータスPublished - 2013 2月

ASJC Scopus subject areas

  • 信号処理
  • コンピュータ グラフィックスおよびコンピュータ支援設計
  • 電子工学および電気工学
  • 応用数学

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