IEICE TRANSACTIONS on Fundamentals
Estimation of the Effects in the Experimental Design Using Fourier Transforms
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.
- Publication
- IEICE TRANSACTIONS on Fundamentals Vol.E93-A No.11 pp.2077-2082
- Publication Date
- 2010/11/01
- Publicized
- Online ISSN
- 1745-1337
- DOI
- 10.1587/transfun.E93.A.2077
- Type of Manuscript
- Special Section LETTER (Special Section on Information Theory and Its Applications)
- Category
- Information Theory
Authors
Keyword
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Yoshifumi UKITA, Toshiyasu MATSUSHIMA, Shigeichi HIRASAWA, "Estimation of the Effects in the Experimental Design Using Fourier Transforms" in IEICE TRANSACTIONS on Fundamentals,
vol. E93-A, no. 11, pp. 2077-2082, November 2010, doi: 10.1587/transfun.E93.A.2077.
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.
URL: https://global.ieice.org/en_transactions/fundamentals/10.1587/transfun.E93.A.2077/_p
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@ARTICLE{e93-a_11_2077,
author={Yoshifumi UKITA, Toshiyasu MATSUSHIMA, Shigeichi HIRASAWA, },
journal={IEICE TRANSACTIONS on Fundamentals},
title={Estimation of the Effects in the Experimental Design Using Fourier Transforms},
year={2010},
volume={E93-A},
number={11},
pages={2077-2082},
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.},
keywords={},
doi={10.1587/transfun.E93.A.2077},
ISSN={1745-1337},
month={November},}
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TY - JOUR
TI - Estimation of the Effects in the Experimental Design Using Fourier Transforms
T2 - IEICE TRANSACTIONS on Fundamentals
SP - 2077
EP - 2082
AU - Yoshifumi UKITA
AU - Toshiyasu MATSUSHIMA
AU - Shigeichi HIRASAWA
PY - 2010
DO - 10.1587/transfun.E93.A.2077
JO - IEICE TRANSACTIONS on Fundamentals
SN - 1745-1337
VL - E93-A
IS - 11
JA - IEICE TRANSACTIONS on Fundamentals
Y1 - November 2010
AB - 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.
ER -
English
