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Olp: an R package for optimal linear partitions of finite sets of points on the plane.

Authors
Type
Published Article
Journal
The British journal of mathematical and statistical psychology
Publication Date
Volume
67
Issue
2
Pages
328–352
Identifiers
DOI: 10.1111/bmsp.12022
PMID: 23998283
Source
Medline
License
Unknown

Abstract

Given a set of points on the plane and an assignment of values to them, an optimal linear partition is a division of the set into two subsets which are separated by a straight line and maximally contrast with each other in the values assigned to their points. We present a method for inspecting and rating all linear partitions of a finite set, and a package of three functions in the R language for executing the computations. One function is for finding the optimal linear partitions and corresponding separating lines, another for graphically representing the results, and a third for testing how well the data comply with the linear separability condition. We illustrate the method on possible data from a psychophysical experiment (concerning the size-weight illusion) and compare its performance with that of linear discriminant analysis and multiple logistic regression, adapted to dividing linearly a set of points on the plane.

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