A Matrix Formulation on How Deviant an Observation Can Be
作者:
Ingram Olkin,
期刊:
The American Statistician
(Taylor Available online 1992)
卷期:
Volume 46,
issue 3
页码: 205-209
ISSN:0003-1305
年代: 1992
DOI:10.1080/00031305.1992.10475885
出版商: Taylor & Francis Group
关键词: Analysis of variance;Outliers;Quadratic forms;Regression
数据来源: Taylor
摘要:
There have been many studies on the detection of outliers. In one of the very early articles it was shown that the deviation of any particular observation from the mean is bounded by a multiple of the standard deviation. This result is simple and has resulted in periodic rediscoveries, coupled with a variety of alternative proofs. We provide a historical review of these various methods, and then pose yet another proof that may have some intrinsic interest.
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