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A new method for computing the projection median, its influence curve and techniques for the production of projected quantile plots

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Title: A new method for computing the projection median, its influence curve and techniques for the production of projected quantile plots
Authors: Chen, F
Nason, G
Item Type: Journal Article
Abstract: This article introduces a new formulation of, and method of computation for, theprojection median. Additionally, we explore its behaviour on a specific bivariate set up,providing the first theoretical result on form of the influence curve for the projectionmedian, accompanied by numerical simulations.Via new simulations we comprehensively compare our performance with anestablished method for computing the projection median, as well as other existingmultivariate medians. We focus on answering questions about accuracy andcomputational speed, whilst taking into account the underlying dimensionality. Suchconsiderations are vitally important in situations where the data set is large, or wherethe operations have to be repeated many times and some well-known techniques areextremely computationally expensive.We briefly describe our associated R package that includes our new methods andnovel functionality to produce animated multidimensional projection quantile plots, andalso exhibit its use on some high-dimensional data examples.
Issue Date: 7-May-2020
Date of Acceptance: 18-Feb-2020
URI: http://hdl.handle.net/10044/1/78014
DOI: 10.1371/journal.pone.0229845
ISSN: 1932-6203
Publisher: Public Library of Science (PLoS)
Journal / Book Title: PLoS One
Volume: 15
Issue: 5
Copyright Statement: © 2020 Chen, Nason. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.
Sponsor/Funder: Engineering and Physical Sciences Research Council
Funder's Grant Number: EP/K020951/1
Keywords: General Science & Technology
Publication Status: Published
Article Number: ARTN e0229845
Appears in Collections:Statistics
Faculty of Natural Sciences
Mathematics