DocumentCode
3369371
Title
A note on relation between the Fourier coefficients and the interaction effects in the experimental design
Author
Ukita, Yoshifumi ; Matsushima, Toshiyasu ; Hirasawa, Shigeichi
Author_Institution
Dept. of Manage. Inf., Yokohama Coll. of Commerce, Yokohama, Japan
Volume
2
fYear
2012
fDate
12-14 June 2012
Firstpage
604
Lastpage
609
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.
Keywords
Fourier analysis; design of experiments; estimation theory; 3-factor interaction effects; Fourier coefficients; estimation procedures; experimental design; orthonormal system; response variable; Artificial intelligence; Educational institutions; Equations; Estimation; Fourier transforms; Mathematical model; Software;
fLanguage
English
Publisher
ieee
Conference_Titel
Intelligent and Advanced Systems (ICIAS), 2012 4th International Conference on
Conference_Location
Kuala Lumpur
Print_ISBN
978-1-4577-1968-4
Type
conf
DOI
10.1109/ICIAS.2012.6306086
Filename
6306086
Link To Document