On the History of the use of Geometry in the General Linear Model
作者:
DavidG. Herr,
期刊:
The American Statistician
(Taylor Available online 1980)
卷期:
Volume 34,
issue 1
页码: 43-47
ISSN:0003-1305
年代: 1980
DOI:10.1080/00031305.1980.10482710
出版商: Taylor & Francis Group
关键词: General linear model;Geometry;Coordinate free;Least squares;History of linear models
数据来源: Taylor
摘要:
The question of why a geometric or coordinate-free approach to linear models has been subordinated to an algebraic approach is considered by reviewing selected papers having a geometric slant. These begin with R.A. Fisher's 1915 paper on the distribution of the correlation coefficient and continue through William Kruskal's elegant 1975 paper on the geometry of generalized inverses. The thesis is put forward that the relative unpopularity of the geometric approach is not due to an inherent inferiority but rather to a combination of inertia, poor exposition, and a resistance to abstraction.
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