Visualising exposure-disease association: the Lorenz curve and the Gini index.
J. Llorca, and M. Delgado-Rodríguez. Medical science monitor : international medical journal of experimental and clinical research, 8 (10):
MT193-7(October 2002)3579<m:linebreak></m:linebreak>Risc atribuïble.
Abstract
BACKGROUND: It has been suggested that the summary index of the Lorenz curve, the Gini index, should be used to characterize the exposure-disease association, rather than relative and attributable risks. Nevertheless, the sampling behavior of the Gini index in epidemiological settings, and the relationships between the Lorenz curve and the usual indices of risk, need to be more deeply understood. MATERIAL/METHODS: The present paper analyzes the geometrical relationships between the Lorenz curve and the relative and attributable risks based on two of the main sampling schemes (cohort and case-control designs). Examples for both designs are provided. Gini index confidence intervals are obtained by bootstrap. RESULTS: The Gini index is a function of the proportion of the population at each level of exposure, relative risk and attributable risk. If exposure is ordered by increasing levels of risk, the Lorenz curve contains all the information about relative and attributable risks and distribution of exposure in the population. Therefore, the Lorenz curve easily allows both risks and their distribution in the analyzed population to be visualised. CONCLUSIONS: The Lorenz curve and the Gini index can complement the information provided by relative and attributable risks.
%0 Journal Article
%1 Llorca2002
%A Llorca, Javier
%A Delgado-Rodríguez, Miguel
%D 2002
%J Medical science monitor : international medical journal of experimental and clinical research
%K Case-ControlStudies DataInterpretation DiabetesMellitus EpidemiologicMethods Female HDL HDL:metabolism Humans Lipoproteins Male Mathematics Risk Statistical StatisticsasTopic
%N 10
%P MT193-7
%T Visualising exposure-disease association: the Lorenz curve and the Gini index.
%U http://www.ncbi.nlm.nih.gov/pubmed/12388928
%V 8
%X BACKGROUND: It has been suggested that the summary index of the Lorenz curve, the Gini index, should be used to characterize the exposure-disease association, rather than relative and attributable risks. Nevertheless, the sampling behavior of the Gini index in epidemiological settings, and the relationships between the Lorenz curve and the usual indices of risk, need to be more deeply understood. MATERIAL/METHODS: The present paper analyzes the geometrical relationships between the Lorenz curve and the relative and attributable risks based on two of the main sampling schemes (cohort and case-control designs). Examples for both designs are provided. Gini index confidence intervals are obtained by bootstrap. RESULTS: The Gini index is a function of the proportion of the population at each level of exposure, relative risk and attributable risk. If exposure is ordered by increasing levels of risk, the Lorenz curve contains all the information about relative and attributable risks and distribution of exposure in the population. Therefore, the Lorenz curve easily allows both risks and their distribution in the analyzed population to be visualised. CONCLUSIONS: The Lorenz curve and the Gini index can complement the information provided by relative and attributable risks.
@article{Llorca2002,
abstract = {BACKGROUND: It has been suggested that the summary index of the Lorenz curve, the Gini index, should be used to characterize the exposure-disease association, rather than relative and attributable risks. Nevertheless, the sampling behavior of the Gini index in epidemiological settings, and the relationships between the Lorenz curve and the usual indices of risk, need to be more deeply understood. MATERIAL/METHODS: The present paper analyzes the geometrical relationships between the Lorenz curve and the relative and attributable risks based on two of the main sampling schemes (cohort and case-control designs). Examples for both designs are provided. Gini index confidence intervals are obtained by bootstrap. RESULTS: The Gini index is a function of the proportion of the population at each level of exposure, relative risk and attributable risk. If exposure is ordered by increasing levels of risk, the Lorenz curve contains all the information about relative and attributable risks and distribution of exposure in the population. Therefore, the Lorenz curve easily allows both risks and their distribution in the analyzed population to be visualised. CONCLUSIONS: The Lorenz curve and the Gini index can complement the information provided by relative and attributable risks.},
added-at = {2023-02-03T11:44:35.000+0100},
author = {Llorca, Javier and Delgado-Rodríguez, Miguel},
biburl = {https://www.bibsonomy.org/bibtex/2fdc12a968995a015b68344794dab34e7/jepcastel},
interhash = {6928b788d146ba0aa3fbbfc9c626bb9d},
intrahash = {fdc12a968995a015b68344794dab34e7},
issn = {1234-1010},
journal = {Medical science monitor : international medical journal of experimental and clinical research},
keywords = {Case-ControlStudies DataInterpretation DiabetesMellitus EpidemiologicMethods Female HDL HDL:metabolism Humans Lipoproteins Male Mathematics Risk Statistical StatisticsasTopic},
month = {10},
note = {3579<m:linebreak></m:linebreak>Risc atribuïble},
number = 10,
pages = {MT193-7},
pmid = {12388928},
timestamp = {2023-02-03T11:44:35.000+0100},
title = {Visualising exposure-disease association: the Lorenz curve and the Gini index.},
url = {http://www.ncbi.nlm.nih.gov/pubmed/12388928},
volume = 8,
year = 2002
}