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Title A Note on the Degrees of Freedom in an Experimental Design Model Based on an Orthonormal System (in Japanese)
Authors Yoshifumi Ukita 、Toshiyasu Matsushima 、Shigeichi Hirasawa
Released Year 2011
Format International Conference
Category Others
Jounal Name IEEE International Conference on Systems, Man, and Cybernetics
Jounal Page pp.2181-2185, Alaska, USA
Published Year 2011
Published Month 10
Abstract
(English)
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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(English)
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