Estimation of the Effects in the Experimental Design Using Fourier Transforms

Yoshifumi UKITA  Toshiyasu MATSUSHIMA  Shigeichi HIRASAWA  

Publication
IEICE TRANSACTIONS on Fundamentals of Electronics, Communications and Computer Sciences   Vol.E93-A   No.11   pp.2077-2082
Publication Date: 2010/11/01
Online ISSN: 1745-1337
DOI: 10.1587/transfun.E93.A.2077
Print ISSN: 0916-8508
Type of Manuscript: Special Section LETTER (Special Section on Information Theory and Its Applications)
Category: Information Theory
Keyword: 
analysis of variance,  Fourier analysis,  orthogonal design,  sampling theorem,  

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Summary: 
We propose that the model in experimental design be expressed in terms of an orthonormal system. Then, we can easily estimate the effects using Fourier transforms. We also provide the theorems with respect to the sum of squares needed in analysis of variance. Using these theorems, it is clear that we can execute the analysis of variance in this model.