A methodology for biplots based on bootstrapping with r

Translated title of the contribution: A methodology for biplots based on bootstrapping with r

Ana B. Nieto, M. Purificación Galindo, Víctor Leiva, Purificación Vicente-Galindo

Research output: Contribution to journalArticlepeer-review

18 Scopus citations

Abstract

A biplot is a graphical representation of two-mode multivariate data based on markers for rows and columns often provided in a two-dimensional space. These markers define parameters that help to interpret goodness of fit, quality of the representation and variability and relationships between variables. However, such parameters are estimated as point values by the biplot, thus no information on the accuracy of the corresponding estimators is obtained. We propose a graphical methodology, that may be considered as an inferential version of a biplot, based on bootstrap confidence intervals for the mentioned parameters. We implement our methodology in an R package and validate it with simulated and real-world data.

Translated title of the contributionA methodology for biplots based on bootstrapping with r
Original languageEnglish
Pages (from-to)367-397
Number of pages31
JournalRevista Colombiana de Estadistica
Volume37
Issue number2
DOIs
StatePublished - 2014
Externally publishedYes

Keywords

  • Bootstrap confidence interval
  • Graphical methods
  • Multivariate data
  • Quantiles
  • Software

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