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
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;
Conference_Titel :
Intelligent and Advanced Systems (ICIAS), 2012 4th International Conference on
Conference_Location :
Kuala Lumpur
Print_ISBN :
978-1-4577-1968-4
DOI :
10.1109/ICIAS.2012.6306086
