A Methodology for Biplots Based on Bootstrapping with R

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 variab...

Full description

Autores:
Nieto, Ana B.
Galindo, M. Purificación
Leiva, Víctor
Vicente-Galindo, Purificación
Tipo de recurso:
Article of journal
Fecha de publicación:
2014
Institución:
Universidad Nacional de Colombia
Repositorio:
Universidad Nacional de Colombia
Idioma:
spa
OAI Identifier:
oai:repositorio.unal.edu.co:unal/66560
Acceso en línea:
https://repositorio.unal.edu.co/handle/unal/66560
http://bdigital.unal.edu.co/67588/
Palabra clave:
51 Matemáticas / Mathematics
31 Colecciones de estadística general / Statistics
Bootstrap Confidence Interval
Graphical Methods
Multivariate Data
Quantiles
Software
Cuantiles
Datos multivariantes
Intervalos de confianza bootstrap
Métodos gráficos
Software.
Rights
openAccess
License
Atribución-NoComercial 4.0 Internacional
Description
Summary: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.