Correspondence between a Linear Restriction and a Generalized Inverse in Linear Model Analysis
作者:
Sati Mazumdar,
ChingChun Li,
G.Rex Bryce,
期刊:
The American Statistician
(Taylor Available online 1980)
卷期:
Volume 34,
issue 2
页码: 103-105
ISSN:0003-1305
年代: 1980
DOI:10.1080/00031305.1980.10483009
出版商: Taylor & Francis Group
关键词: Linear restrictions;Generalized inverse
数据来源: Taylor
摘要:
In experimental statistics the usual method of estimating treatment effects is to introduce arbitrary linear restrictions among the treatment effects in order to obtain solutions of the normal equations. A comparatively recent approach is to dispense with the linear restriction and use a generalized inverse solution to the normal equations. The present note is an attempt to bring these two methods closer together and show their correspondence; namely, for each given linear restriction, there exists a corresponding generalized inverse that yields the same solution for the treatment effects as the linear restriction does.
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