Bootstrap-based inference for grouped data
Grouped data refers to continuous variables that are partitioned in intervals, not necessarily of the same length, to facilitate its interpretation. Unlike in ungrouped data, estimating simple summary statistics as the mean and mode, or more complex ones as a percentile or the coefficient of variation, is a difficult endeavour in grouped data. When the probability distribution generating the data is unknown, inference in ungrouped data is carried out using parametric or nonparametric resampling methods. However, there are no equivalent methods in the case of grouped data. Here, a bootstrap-based procedure to estimate the parameters of an unknown distribution based on grouped data is proposed, described and illustrated.
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Universidad Nacional de Colombia - Sede Medellín - Facultad de Ciencias
2015
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oai:www.revistas.unal.edu.co:article-542542018-06-09T22:39:51Z Bootstrap-based inference for grouped data Inferencia para datos agrupados vía bootstrap Vélez, Jorge Iván Correa Morales, Juan Carlos Bootstrap estimation grouped Data Bootstrap datos agrupados estimación Grouped data refers to continuous variables that are partitioned in intervals, not necessarily of the same length, to facilitate its interpretation. Unlike in ungrouped data, estimating simple summary statistics as the mean and mode, or more complex ones as a percentile or the coefficient of variation, is a difficult endeavour in grouped data. When the probability distribution generating the data is unknown, inference in ungrouped data is carried out using parametric or nonparametric resampling methods. However, there are no equivalent methods in the case of grouped data. Here, a bootstrap-based procedure to estimate the parameters of an unknown distribution based on grouped data is proposed, described and illustrated. Los datos agrupados se reeren a variables continuas que se dividen en intervalos no necesariamente de la misma longitud para facilitar su interpretación. Contrario a lo que ocurre en datos no agrupados, la estimación de simples estadísticos de resumen como la media o la moda, o más complejos como un percentil o el coeciente de variación, es una tarea difícil en datos agrupados. Cuando no se conoce la distribución de probabilidad que genera los datos, la inferencia en datos no agrupados se realiza utilizando métodos paramétricos o no paramétricos de remuestreo. Sin embargo, no existen métodos equivalentes para datos agrupados. En este documento se propone, describe e ilustra un método basado en bootstrap para estimar los parámetros de una distribución desconocida a partir de datos agrupados. Universidad Nacional de Colombia - Sede Medellín - Facultad de Ciencias 2015-07-01 info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion application/pdf https://revistas.unal.edu.co/index.php/rfc/article/view/54254 10.15446/rev.fac.cienc.v4n2.54254 Revista de la Facultad de Ciencias; Vol. 4 No. 2 (2015); 74-82 Revista de la Facultad de Ciencias; Vol. 4 Núm. 2 (2015); 74-82 2357-5549 0121-747X eng https://revistas.unal.edu.co/index.php/rfc/article/view/54254/54888 Derechos de autor 2015 Revista de la Facultad de Ciencias |
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Vélez, Jorge Iván Correa Morales, Juan Carlos |
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Vélez, Jorge Iván Correa Morales, Juan Carlos Bootstrap-based inference for grouped data |
| author_facet |
Vélez, Jorge Iván Correa Morales, Juan Carlos |
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Vélez, Jorge Iván |
| title |
Bootstrap-based inference for grouped data |
| title_short |
Bootstrap-based inference for grouped data |
| title_full |
Bootstrap-based inference for grouped data |
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Bootstrap-based inference for grouped data |
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Bootstrap-based inference for grouped data |
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bootstrap-based inference for grouped data |
| description |
Grouped data refers to continuous variables that are partitioned in intervals, not necessarily of the same length, to facilitate its interpretation. Unlike in ungrouped data, estimating simple summary statistics as the mean and mode, or more complex ones as a percentile or the coefficient of variation, is a difficult endeavour in grouped data. When the probability distribution generating the data is unknown, inference in ungrouped data is carried out using parametric or nonparametric resampling methods. However, there are no equivalent methods in the case of grouped data. Here, a bootstrap-based procedure to estimate the parameters of an unknown distribution based on grouped data is proposed, described and illustrated. |
| publisher |
Universidad Nacional de Colombia - Sede Medellín - Facultad de Ciencias |
| publishDate |
2015 |
| url |
https://revistas.unal.edu.co/index.php/rfc/article/view/54254 |
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