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Displaying the important features of large collections of similar curves

Jones, M. C. and Rice, John A. (1992). Displaying the important features of large collections of similar curves. The American Statistician, 46(2) pp. 140–145.

URL: http://www.jstor.org/stable/2684184
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Abstract

Naively displaying a large collection of curves by super-imposing them one on another all on the same graph is largely uninformative and aesthetically unappealing. We propose that a simple principal component analysis be used to identify important modes of variation among the curves and that principal component scores be used to identify particular curves which clearly demonstrate the form and extent of that variation. As a result, we obtain a small number of figures on which are plotted a very few "representative" curves from the original collection; these successfully convey the major information present in sets of "similar" curves in a clear and attractive manner. Useful adjunct displays, including the plotting of principal component scores against covariates, are also described. Two examples-one concerning a data-based bandwidth selection procedure for kernel density estimation, the other involving ozone level curve data-illustrate the ideas.

Item Type: Journal Article
Copyright Holders: 1992 The American Statistical Association
ISSN: 0003-1305
Keywords: graphics; principal component;
Academic Unit/Department: Mathematics, Computing and Technology > Mathematics and Statistics
Item ID: 28298
Depositing User: Sarah Frain
Date Deposited: 23 Mar 2011 15:11
Last Modified: 23 Mar 2011 15:11
URI: http://oro.open.ac.uk/id/eprint/28298
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