Affordable Access

deepdyve-link
Publisher Website

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

Authors
  • Burigana, Luigi
  • Martino, Francesco
  • Vicovaro, Michele
Type
Published Article
Journal
The British journal of mathematical and statistical psychology
Publication Date
May 01, 2014
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.

Report this publication

Statistics

Seen <100 times