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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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 |
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Universidad Santo Tomas |
collection |
DSpace |
language |
Español (Spanish) |
topic |
modelo exponencial modelo potencial mínimos cuadrados regresión no lineal modelos de regresión. |
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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 |
_version_ |
1712106187570282496 |
score |
12,131701 |