Estimation of the Effects in the Experimental Design Using Fourier Transforms

Yoshifumi UKITA; Toshiyasu MATSUSHIMA; Shigeichi HIRASAWA

doi:10.1587/transfun.E93.A.2077

IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences

Online ISSN : 1745-1337
Print ISSN : 0916-8508

Special Section on Information Theory and Its Applications

Estimation of the Effects in the Experimental Design Using Fourier Transforms

Yoshifumi UKITA, Toshiyasu MATSUSHIMA, Shigeichi HIRASAWA

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Keywords: analysis of variance, Fourier analysis, orthogonal design, sampling theorem

JOURNAL RESTRICTED ACCESS

2010 Volume E93.A Issue 11 Pages 2077-2082

DOI https://doi.org/10.1587/transfun.E93.A.2077

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Abstract

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.

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