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

Yoshifumi Ukita, Toshiyasu Matsushima, Shigeichi Hirasawa

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

In this paper, we present the theorem of the relation between the Fourier coefficients and the 3-factor interaction effects. From this theorem, the 3-factor interaction effects can be easily obtained from the Fourier coefficients. Therefore, it is possible to implement the estimation procedures easily as well as to understand how any interaction affects the response variable in the model based on an orthonormal system.

Original languageEnglish
Title of host publicationICIAS 2012 - 2012 4th International Conference on Intelligent and Advanced Systems
Subtitle of host publicationA Conference of World Engineering, Science and Technology Congress (ESTCON) - Conference Proceedings
Pages604-609
Number of pages6
DOIs
Publication statusPublished - 2012 Nov 1
Event2012 4th International Conference on Intelligent and Advanced Systems, ICIAS 2012 - Kuala Lumpur, Malaysia
Duration: 2012 Jun 122012 Jun 14

Publication series

NameICIAS 2012 - 2012 4th International Conference on Intelligent and Advanced Systems: A Conference of World Engineering, Science and Technology Congress (ESTCON) - Conference Proceedings
Volume2

Conference

Conference2012 4th International Conference on Intelligent and Advanced Systems, ICIAS 2012
CountryMalaysia
CityKuala Lumpur
Period12/6/1212/6/14

ASJC Scopus subject areas

  • Artificial Intelligence
  • Information Systems

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    Ukita, Y., Matsushima, T., & Hirasawa, S. (2012). A note on relation between the Fourier coefficients and the interaction effects in the experimental design. In ICIAS 2012 - 2012 4th International Conference on Intelligent and Advanced Systems: A Conference of World Engineering, Science and Technology Congress (ESTCON) - Conference Proceedings (pp. 604-609). [6306086] (ICIAS 2012 - 2012 4th International Conference on Intelligent and Advanced Systems: A Conference of World Engineering, Science and Technology Congress (ESTCON) - Conference Proceedings; Vol. 2). https://doi.org/10.1109/ICIAS.2012.6306086