JSM 2005 - Toronto

Abstract #304741

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Legend: = Applied Session, = Theme Session, = Presenter
Activity Number: 491
Type: Contributed
Date/Time: Thursday, August 11, 2005 : 8:30 AM to 10:20 AM
Sponsor: Section on Statistical Graphics
Abstract - #304741
Title: Biplots for Visualizing Linear Models
Author(s): Heike Hofmann*+
Companies: Iowa State University
Address: 122 Snedecor, Ames, IA, 50014, United States
Keywords: Biplots ; Data Visualisation ; Univariate Linear Models ; Category Level Points ; Biplot Axis ; Visual Modelling
Abstract:

The link between statistical models and visualization techniques is not well explored, even though strong links do exist. This paper describes the relationship between biplots and univariate linear models. By slightly adjusting the way biplots are constructed, they provide the means to display linear models. The goodness-of-fit of a particular model becomes visible instantly. Biplots show predicted values and residuals. This helps to assess a model far beyond the mere statistics and to detect structural defects in it. Also, biplots provide a link between the modeling statistics and the original data. Additional interactive methods such as hotselection also allow the analysis of outlier effects and behavior.


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Revised March 2005