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Una metodología para la construcción de histogramas. Aplicación a los ingresos de los hogares españoles

Authors: González Abril, Luis; Gavilán Ruiz, José Manuel;

Una metodología para la construcción de histogramas. Aplicación a los ingresos de los hogares españoles

Abstract

Es común agrupar los valores de una variable en una serie de intervalos cuando ésta toma una gran cantidad de valores diferentes y presentar el Histograma como un elemento que nos informa, entre otras cosas, sobre la forma de la variable (moda, asimetría, ...). Posteriormente es interesante suavizar la gráfica obtenida para conseguir una curva más parecida a una posible distribución teórica (modelo) de la variable. En este contexto, el presente trabajo consta de dos partes: En primer lugar, a partir de un conjunto de datos y de un cierto número de intervalos dados resolvemos el problema de agrupar la variable en base a la minimización de la media de las desviaciones típicas dentro de cada intervalo formado1 . En segundo lugar, nos proponemos suavizar el Histograma obtenido mediante una función splín parabólica. Para llevar a cabo ambas tareas implementamos sendos programas dentro del paquete MATHEMÁTICA. Se finaliza el trabajo mostrando el resultado de la aplicación de la metodología desarrollada a la variable Ingresos Totales de los Hogares Andaluces con los 3665 datos obtenidos a partir de la EPF 90-91. Comparamos los resultados con los obtenidos al representar el Histograma usando el mismo número de intervalos (basado en la regla de Sturges), pero con amplitudes constantes, lo que se obtendría por defecto al usar cualquier software estadístico estándar. Se concluye que este último método es totalmente inadecuado ya que no refleja aspectos fundamentales de la forma de la variable, como en este caso es la bimodalidad, lo que si queda recogido con la metodología propuesta.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
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