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タイトル A Study on the Degrees of Freedom in an Experimental Design Model Based on an Orthonormal System
著者 浮田善文 、松嶋敏泰 、平澤茂一
年度 2012
形式 論文誌
分野 知識情報処理
掲載雑誌名 IEICE Transactions on Fundamentals of Electronics, Communications and Computer Sciences
掲載号・ページ vol.E96-A, no.2, pp.658-662
掲載年 2013
掲載月 2
アブスト
(日本語)
査読有
10.1587/transfun.E96.A.658
アブスト
(英語)
Experiments usually aim to study how changes in various factors affect the response variable of interest. Since the response model used most often at present in experimental design is expressed through the effect of each factor, it is straightforward to ascertain how each factor affects the response variable. However, since the response model contains redundant parameters, we must calculate the degrees of freedom defined by the number of independent parameters in the analysis of variance. In this letter, we show that through a description of experimental design based on an orthonormal system, the response model can be expressed using only independent parameters. Hence, by using this description, we do not have to calculate the degrees of freedom defined by the number of independent parameters.
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(日本語)
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(英語)
3
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