JSM 2005 - Toronto

Abstract #303108

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Legend: = Applied Session, = Theme Session, = Presenter
Activity Number: 330
Type: Contributed
Date/Time: Tuesday, August 9, 2005 : 2:00 PM to 3:50 PM
Sponsor: General Methodology
Abstract - #303108
Title: A Simple, More General Boxplot Method for Identifying Outliers
Author(s): Neil Schwertman*+ and Margaret A. Owens and Robiah Adnan
Companies: California State University, Chico and California State University, Chico and University of Technology, Malaysia
Address: 400 West First Street, Chico, CA, 95929-0525, United States
Keywords: Hinge ; Asymmetric ; Fences
Abstract:

The Boxplot Method (Tukey 1977) is a graphically-based method of identifying outliers that appeals not only in its simplicity, but also because it does not use the extreme potential outliers in computing a measure of dispersion. The inner and outer fences are defined in terms of the hinges (or fourths), and therefore are not distorted by a few extreme values. Such distortion could lead to failing to detect some outliers, a problem known as "masking." A method for determining the probability associated with any fence or observation is proposed based on the cumulative distribution function of the order statistics. This allows the statistician to easily assess, in a probability sense, the degree to which an observation is dissimilar to the majority of the observations. In addition, an adaptation for approximately normal, but somewhat asymmetric, distributions is suggested.


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Revised March 2005