A Methodology for Biplots Based on Bootstrapping with R
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| Format: | Artículo científico |
| Language: | en |
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Universidad Nacional de Colombia
2014
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| author | Ana B. Nieto |
| author_facet | Ana B. Nieto |
| contents | A Methodology for Biplots Based on Bootstrapping with R Ana B. Nieto M. Purificación Galindo Víctor Leiva Purificación Vicente-Galindo Física, Astronomía y Matemáticas Software Quantiles Graphical Methods Multivariate Data Bootstrap Confidence Interval 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. 2014 artículo científico 0120-1751 https://www.redalyc.org/articulo.oa?id=89933712008 en http://www.redalyc.org/revista.oa?id=899 Revista Colombiana de Estadística application/pdf Universidad Nacional de Colombia Revista Colombiana de Estadística (Colombia) Num.2 Vol.37 |
| format | Artículo científico |
| id | redalyc_89933712008 |
| institution | Redalyc |
| language | en |
| publishDate | 2014 |
| publisher | Universidad Nacional de Colombia |
| spellingShingle | A Methodology for Biplots Based on Bootstrapping with R Ana B. Nieto Física, Astronomía y Matemáticas Software Quantiles Graphical Methods Multivariate Data Bootstrap Confidence Interval A Methodology for Biplots Based on Bootstrapping with R Ana B. Nieto M. Purificación Galindo Víctor Leiva Purificación Vicente-Galindo Física, Astronomía y Matemáticas Software Quantiles Graphical Methods Multivariate Data Bootstrap Confidence Interval 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. 2014 artículo científico 0120-1751 https://www.redalyc.org/articulo.oa?id=89933712008 en http://www.redalyc.org/revista.oa?id=899 Revista Colombiana de Estadística application/pdf Universidad Nacional de Colombia Revista Colombiana de Estadística (Colombia) Num.2 Vol.37 |
| title | A Methodology for Biplots Based on Bootstrapping with R |
| topic | Física, Astronomía y Matemáticas Software Quantiles Graphical Methods Multivariate Data Bootstrap Confidence Interval |
| url | https://www.redalyc.org/articulo.oa?id=89933712008 |