Bivariate Extensions of the Boxplot
作者:
KennethM. Goldberg,
Boris Iglewicz,
期刊:
Technometrics
(Taylor Available online 1992)
卷期:
Volume 34,
issue 3
页码: 307-320
ISSN:0040-1706
年代: 1992
DOI:10.1080/00401706.1992.10485280
出版商: Taylor & Francis Group
关键词: Ellipsoid;Outlier;Resistant line;Robust estimators
数据来源: Taylor
摘要:
The boxplot has proven to be a very useful tool for summarizing univariate data. Several options of bivariate boxplot-type constructions are discussed. These include both elliptic and asymmetric plots. An inner region contains 50% of the data, and a fence identifies potential outliers. Such a robust plot shows location, scale, correlation, and a resistant regression line. Alternative constructions are compared in terms of efficiency of the relevant parameters. Additional properties are given and recommendations made. Emphasis is given to the bivariate biweightMestimator. Several practical examples illustrate that standard least squares ellipsoids can give graphically misleading summaries.
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