Cardiovasc Prev Pharmacother.  2020 Oct;2(4):142-146. 10.36011/cpp.2020.2.e15.

Logistic Regression and Least Absolute Shrinkage and Selection Operator

Affiliations
  • 1Clinical Research Coordinating Center, Catholic Medical Center, The Catholic University of Korea, Seoul, Korea
  • 2Department of Medical Informatics, College of Medicine, The Catholic University of Korea, Seoul, Korea
  • 3Department of Endocrinology and Metabolism, College of Medicine, The Catholic University of Korea, Seoul, Korea

Abstract

Logistic regression, a model that forms a binary dependent variable and one or more independent variable(s), is used especially in epidemiological studies. By understanding the logistic model and its applications, such as odds ratio (OR) and performance efficiency, the concept of logistic regression can be easily grasped. The purpose of this article is to 1) introduce logistic regression, including odds and OR, 2) present predictive efficiency, such as area under the curve, and 3) explain the caution of logistic regression analysis.

Keyword

Biostatistics; Logistic models; Models, statistical; Odds ratio; Regression analysis

Cited by  1 articles

Perceptron: Basic Principles of Deep Neural Networks
Eung-Hee Kim, Hun-Sung Kim
Cardiovasc Prev Pharmacother. 2021;3(3):64-72.    doi: 10.36011/cpp.2021.3.e9.


Reference

1. LaValley MP. Logistic regression. Circulation. 2008; 117:2395–9.
Article
2. Hosmer DW, Lemeshow S. Applied Logistic Regression. 2nd ed. New York, NY: John Wiley & Sons, Inc;2000.
3. Kirkwood BR, Sterne JA. Essential Medical Statistics. Oxford: Blackwell Science Ltd;2003.
4. Park HA. An introduction to logistic regression: from basic concepts to interpretation with particular attention to nursing domain. J Korean Acad Nurs. 2013; 43:154–64.
Article
5. Peng CJ, Lee KL, Ingersoll GM. An introduction to logistic regression analysis and reporting. J Educ Res. 2002; 96:3–14.
Article
6. Schmidt CO, Kohlmann T. When to use the odds ratio or the relative risk? Int J Public Health. 2008; 53:165–7.
Article
7. Peduzzi P, Concato J, Kemper E, Holford TR, Feinstein AR. A simulation study of the number of events per variable in logistic regression analysis. J Clin Epidemiol. 1996; 49:1373–9.
Article
8. Mansournia MA, Geroldinger A, Greenland S, Heinze G. Separation in logistic regression: causes, consequence, and control. Am J Epidemiol. 2018; 187:864–70.
9. Agresti A. Categorical Data Analysis. 3rd ed. Hoboken, NJ: John Wiley & Sons;2013.
10. Firth D. Bias reduction of maximum likelihood estimates. Biometrika. 1993; 80:27–38.
Article
11. Gelman A, Jakulin A, Pittau MG, Su YS. A weakly informative default prior distribution for logistic and other regression models. Ann Appl Stat. 2008; 2:1360–83.
Article
12. Greenland S, Mansournia MA. Penalization, bias reduction, and default priors in logistic and related categorical and survival regressions. Stat Med. 2015; 34:3133–43.
Article
13. Le Cessie S, Van Houwelingen J. Ridge estimators in logistic regression. J R Stat Soc Ser C Appl Stat. 1992; 41:191–201.
Article
14. Tibshirani R. Regression shrinkage and selection via the lasso. J R Stat Soc Series B Stat Methodol. 1996; 58:267–88.
Article
15. Bender R, Grouven U. Ordinal logistic regression in medical research. J R Coll Physicians Lond. 1997; 31:546–51.
16. Harrell FE Jr, Margolis PA, Gove S, Mason KE, Mulholland EK, Lehmann D, Muhe L, Gatchalian S, Eichenwald HF; WHO/ARI Young Infant Multicentre Study Group. Development of a clinical prediction model for an ordinal outcome: the World Health Organization Multicentre Study of Clinical Signs and Etiological agents of Pneumonia, Sepsis and Meningitis in Young Infants. Stat Med. 1998; 17:909–44.
Article
17. Scott SC, Goldberg MS, Mayo NE. Statistical assessment of ordinal outcomes in comparative studies. J Clin Epidemiol. 1997; 50:45–55.
Article
18. Cannon MJ, Warner L, Taddei JA, Kleinbaum DG. What can go wrong when you assume that correlated data are independent: an illustration from the evaluation of a childhood data are independent: an illustration from the evaluation of a childhood health intervention in Brazil. Stat Med. 2001; 20:1461–7.
19. Lipsitz SR, Kim K, Zhao L. Analysis of repeated categorical data using generalized estimating equations. Stat Med. 1994; 13:1149–63.
Article
20. Twisk JW. Applied Longitudinal Data Analysis for Epidemiology. Cambridge: Cambridge University Press;2003.
Full Text Links
  • CPP
Actions
Cited
CITED
export Copy
Close
Share
  • Twitter
  • Facebook
Similar articles
Copyright © 2024 by Korean Association of Medical Journal Editors. All rights reserved.     E-mail: koreamed@kamje.or.kr