Logarithmic transformations in simple regression analysis

In this paper the effect of the logarithmic transformations in simple regression analysis is investigated. In practice, it is very common that exponential and power models’ parameters are estimated by means of a logarithmic transformation which reduces them to a linear form. The estimations in the in...

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Autores Principales: Ortiz Pinilla, Jorge, Gil, Diana
Formato: Artículo (Article)
Lenguaje:Español (Spanish)
Publicado: Universidad Santo Tomás 2014
Materias:
Acceso en línea:http://hdl.handle.net/11634/24864
id ir-11634-24864
recordtype dspace
spelling ir-11634-248642020-06-16T21:39:17Z Logarithmic transformations in simple regression analysis Transformaciones logarítmicas en regresión simple Ortiz Pinilla, Jorge Gil, Diana modelo exponencial modelo potencial mínimos cuadrados regresión no lineal modelos de regresión. In this paper the effect of the logarithmic transformations in simple regression analysis is investigated. In practice, it is very common that exponential and power models’ parameters are estimated by means of a logarithmic transformation which reduces them to a linear form. The estimations in the initial models are obtained by applying the exponential function to the intercept estimation. In this work, it is found that this procedure does not generate least squares solutions for the initial model and introduces variations in the way in which relationships between variables are conceived. Because of the popularity of software tools, the risk of using inappropriate models for the data may be unnoticed. En este artículo se investiga los efectos de las transformaciones logarítmicas en un análisis de regresión simple. En la práctica, es muy común que los parámetros de los modelos conocidos como exponencial y potencial se estimen de manera habitual mediante una transformación logarítmica, que los reduce a modelos lineales y se “regresa” al modelo original aplicando la función exponencial a la estimación del intercepto. En este trabajo se encuentra que este procedimiento no genera estimadores de mínimos cuadrados para el modelo inicial e introduce variaciones en la forma como se conciben las relaciones entre las variables. La popularidad de las herramientas de análisis hace que el riesgo de utilizar modelos que no correspondan a los datos pase desapercibido. 2014-06-20 2020-06-16T21:39:16Z 2020-06-16T21:39:16Z info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion https://revistas.usantotomas.edu.co/index.php/estadistica/article/view/1143 10.15332/s2027-3355.2014.0001.06 http://hdl.handle.net/11634/24864 spa https://revistas.usantotomas.edu.co/index.php/estadistica/article/view/1143/1377 https://revistas.usantotomas.edu.co/index.php/estadistica/article/view/1143/3626 application/pdf text/plain Universidad Santo Tomás Comunicaciones en Estadística; Vol. 7 Núm. 1 (2014); 80-98 2339-3076 2027-3355 Comunicaciones en Estadística; Vol. 7 No. 1 (2014); 80-98
institution Universidad Santo Tomas
collection DSpace
language Español (Spanish)
topic modelo exponencial
modelo potencial
mínimos cuadrados
regresión no lineal
modelos de regresión.
spellingShingle modelo exponencial
modelo potencial
mínimos cuadrados
regresión no lineal
modelos de regresión.
Ortiz Pinilla, Jorge
Gil, Diana
Logarithmic transformations in simple regression analysis
description In this paper the effect of the logarithmic transformations in simple regression analysis is investigated. In practice, it is very common that exponential and power models’ parameters are estimated by means of a logarithmic transformation which reduces them to a linear form. The estimations in the initial models are obtained by applying the exponential function to the intercept estimation. In this work, it is found that this procedure does not generate least squares solutions for the initial model and introduces variations in the way in which relationships between variables are conceived. Because of the popularity of software tools, the risk of using inappropriate models for the data may be unnoticed.
format Artículo (Article)
author Ortiz Pinilla, Jorge
Gil, Diana
author_facet Ortiz Pinilla, Jorge
Gil, Diana
author_sort Ortiz Pinilla, Jorge
title Logarithmic transformations in simple regression analysis
title_short Logarithmic transformations in simple regression analysis
title_full Logarithmic transformations in simple regression analysis
title_fullStr Logarithmic transformations in simple regression analysis
title_full_unstemmed Logarithmic transformations in simple regression analysis
title_sort logarithmic transformations in simple regression analysis
publisher Universidad Santo Tomás
publishDate 2014
url http://hdl.handle.net/11634/24864
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score 12,131701