タイトル | A Note on the Degrees of Freedom in an Experimental Design Model Based on an Orthonormal System |
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著者 | Yoshifumi Ukita 、Toshiyasu Matsushima 、Shigeichi Hirasawa |
年度 | 2011 |
形式 | 国際学会 |
分野 | その他 |
掲載雑誌名 | IEEE International Conference on Systems, Man, and Cybernetics |
掲載号・ページ | pp.2181-2185, Alaska, USA |
掲載年 | 2011 |
掲載月 | 10 |
アブスト (日本語) |
学会名:2011 IEEE International Conference on Systems, Man and Cybernetics - SMC 日程:09 Oct - 12 Oct 2011 場所:Hilton Anchorage Anchorage, Alaska, USA |
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 paper, 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, we do not have to calculate the degrees of freedom defined by the number of independent parameters. |
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備考 (英語) |
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