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Better biplots

Blasius, Jörg; Eilers, Paul H. C. and Gower, John (2009). Better biplots. Computational Statistics and Data Analysis, 53(8) pp. 3145–3158.

DOI (Digital Object Identifier) Link: http://dx.doi.org/10.1016/j.csda.2008.06.013
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Abstract

The elements of a biplot are (i) a set of axes representing variables, usually concurrent at the centroid of (ii) a set of points representing samples or cases. The axes are (approximations to) conventional coordinate axes, and therefore may be labelled and calibrated. Especially when there are many points (perhaps several thousand) the whole effect can be very confusing but this may be mitigated by:
1. Giving a density representation of the points.
2. While respecting the calibrations, moving the axes to new positions more remote from the points, and possibly jointly rotating axes and points.
3. The use of colour — when permissible.
4. Choosing more than one centre of concurrency.
The principles are quite general but we illustrate them by examples of the Categorical Principal Component Analysis of the responses to questions concerning migration in Germany. This application introduces the additional interest of representing ordered categorical variables by irregularly calibrated axes.

Item Type: Journal Article
Copyright Holders: 2008 Elsevier B.V.
ISSN: 0167-9473
Academic Unit/Department: Mathematics, Computing and Technology > Mathematics and Statistics
Item ID: 22501
Depositing User: Sarah Frain
Date Deposited: 10 Aug 2010 10:36
Last Modified: 05 Dec 2012 15:56
URI: http://oro.open.ac.uk/id/eprint/22501
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