A Methodology for Biplots Based on Bootstrapping with R

• Main Authors: ANA B. NIETO, M. PURIFICACIÓN GALINDO, VÍCTOR LEIVA, PURIFICACIÓN VICENTE-GALINDO
• Format: Article
• Language: English
• Published: Universidad Nacional de Colombia 2014-12-01
• Series: Revista Colombiana de Estadística
• Subjects: cuantiles; datos multivariantes; intervalos de confianza bootstrap; métodos gráficos; software
• Online Access: http://www.scielo.org.co/scielo.php?script=sci_arttext&pid=S0120-17512014000200007&lng=en&tlng=en

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 \verb"R" package and validate it with simulated and real-world data.