Multicollinearity in Regression Analyses Conducted in Epidemiologic Studies

doi:10.4172/2161-1165.1000227

. 2016 Apr;6(2):227.

doi: 10.4172/2161-1165.1000227. Epub 2016 Mar 7.

Multicollinearity in Regression Analyses Conducted in Epidemiologic Studies

Kristina P Vatcheva¹, MinJae Lee², Joseph B McCormick¹, Mohammad H Rahbar³

Affiliations

¹ Division of Epidemiology, University of Texas Health Science Center-Houston, School of Public Health, Brownsville Campus, Brownsville, TX.
² Division of Clinical and Translational Sciences, Department of Internal Medicine, University of Texas Medical School, Biostatistics/Epidemiology/Research Design (BERD) Core, Center for Clinical and Translational Sciences (CCTS), The University of Texas Health Science Center at Houston, Houston, TX.
³ Division of Epidemiology, Human Genetics and Environmental Sciences, University of Texas School of Public Health, Division of Clinical and Translational Sciences, Department of Internal Medicine, University of Texas Medical School at Houston, and Center for Clinical and Translational Sciences at The University of Texas Health Science Center at Houston, Houston, TX.

PMID: 27274911
PMCID: PMC4888898
DOI: 10.4172/2161-1165.1000227

Multicollinearity in Regression Analyses Conducted in Epidemiologic Studies

Kristina P Vatcheva et al. Epidemiology (Sunnyvale). 2016 Apr.

. 2016 Apr;6(2):227.

doi: 10.4172/2161-1165.1000227. Epub 2016 Mar 7.

Authors

Kristina P Vatcheva¹, MinJae Lee², Joseph B McCormick¹, Mohammad H Rahbar³

Affiliations

¹ Division of Epidemiology, University of Texas Health Science Center-Houston, School of Public Health, Brownsville Campus, Brownsville, TX.
² Division of Clinical and Translational Sciences, Department of Internal Medicine, University of Texas Medical School, Biostatistics/Epidemiology/Research Design (BERD) Core, Center for Clinical and Translational Sciences (CCTS), The University of Texas Health Science Center at Houston, Houston, TX.
³ Division of Epidemiology, Human Genetics and Environmental Sciences, University of Texas School of Public Health, Division of Clinical and Translational Sciences, Department of Internal Medicine, University of Texas Medical School at Houston, and Center for Clinical and Translational Sciences at The University of Texas Health Science Center at Houston, Houston, TX.

PMID: 27274911
PMCID: PMC4888898
DOI: 10.4172/2161-1165.1000227

Abstract

The adverse impact of ignoring multicollinearity on findings and data interpretation in regression analysis is very well documented in the statistical literature. The failure to identify and report multicollinearity could result in misleading interpretations of the results. A review of epidemiological literature in PubMed from January 2004 to December 2013, illustrated the need for a greater attention to identifying and minimizing the effect of multicollinearity in analysis of data from epidemiologic studies. We used simulated datasets and real life data from the Cameron County Hispanic Cohort to demonstrate the adverse effects of multicollinearity in the regression analysis and encourage researchers to consider the diagnostic for multicollinearity as one of the steps in regression analysis.

Keywords: BMI; Multicollinearity; Regression analysis; Simulation; Waist circumference.

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References

1. Aiken LS, West SG. Multiple regression: Testing and interpreting interactions. Newbury Park C: SAGE Publications, Inc; 1991. editor.
1. Gordon RA. Issues in Multiple Regression. The American Journal of Sociology. 1968;73:592–616.
1. Stewart GW. Collinearity and Least Squares Regression. Statistical Science. 1987;2:68–100.
1. Mason G. Coping with multicollinearity. The Canadian Journal of program evaluation. 1987;2:87–93.
1. Mason Charlotte H, Perreault William D., Jr Collinearity, Power, and Interpretation of Multiple Regression Analysis. Journal of Marketing Research. 1991;28:268–280.

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[1] Aiken LS, West SG. Multiple regression: Testing and interpreting interactions. Newbury Park C: SAGE Publications, Inc; 1991. editor.

[2] Aiken LS, West SG. Multiple regression: Testing and interpreting interactions. Newbury Park C: SAGE Publications, Inc; 1991. editor.

[3] Gordon RA. Issues in Multiple Regression. The American Journal of Sociology. 1968;73:592–616.

[4] Gordon RA. Issues in Multiple Regression. The American Journal of Sociology. 1968;73:592–616.

[5] Stewart GW. Collinearity and Least Squares Regression. Statistical Science. 1987;2:68–100.

[6] Stewart GW. Collinearity and Least Squares Regression. Statistical Science. 1987;2:68–100.

[7] Mason G. Coping with multicollinearity. The Canadian Journal of program evaluation. 1987;2:87–93.

[8] Mason G. Coping with multicollinearity. The Canadian Journal of program evaluation. 1987;2:87–93.

[9] Mason Charlotte H, Perreault William D., Jr Collinearity, Power, and Interpretation of Multiple Regression Analysis. Journal of Marketing Research. 1991;28:268–280.

[10] Mason Charlotte H, Perreault William D., Jr Collinearity, Power, and Interpretation of Multiple Regression Analysis. Journal of Marketing Research. 1991;28:268–280.

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Multicollinearity in Regression Analyses Conducted in Epidemiologic Studies

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Multicollinearity in Regression Analyses Conducted in Epidemiologic Studies

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