J Korean Acad Nurs.  2013 Apr;43(2):154-164. 10.4040/jkan.2013.43.2.154.

An Introduction to Logistic Regression: From Basic Concepts to Interpretation with Particular Attention to Nursing Domain

Affiliations
  • 1College of Nursing and System Biomedical Informatics National Core Research Center, Seoul National University, Seoul, Korea. hapark@snu.ac.kr

Abstract

PURPOSE
The purpose of this article is twofold: 1) introducing logistic regression (LR), a multivariable method for modeling the relationship between multiple independent variables and a categorical dependent variable, and 2) examining use and reporting of LR in the nursing literature.
METHODS
Text books on LR and research articles employing LR as main statistical analysis were reviewed. Twenty-three articles published between 2010 and 2011 in the Journal of Korean Academy of Nursing were analyzed for proper use and reporting of LR models.
RESULTS
Logistic regression from basic concepts such as odds, odds ratio, logit transformation and logistic curve, assumption, fitting, reporting and interpreting to cautions were presented. Substantial shortcomings were found in both use of LR and reporting of results. For many studies, sample size was not sufficiently large to call into question the accuracy of the regression model. Additionally, only one study reported validation analysis.
CONCLUSION
Nursing researchers need to pay greater attention to guidelines concerning the use and reporting of LR models.

Keyword

Logit function; Maximum likelihood estimation; Odds; Odds ratio; Wald test

MeSH Terms

Humans
Logistic Models
*Models, Statistical
Odds Ratio
Publishing/standards
*Research

Figure

  • Figure 1 Graph of logistic curve where α=0 and β=1.


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Reference

1. Bagley SC, White H, Golomb BA. Logistic regression in the medical literature: Standards for use and reporting, with particular attention to one medical domain. J Clin Epidemiol. 2001. 54(10):979–985.
2. Bewick V, Cheek L, Ball J. Statistics review 13: Receiver operating characteristic curves. Crit Care. 2004. 8(6):508–512. http://dx.doi.org/10.1186/cc3000.
3. Bewick V, Cheek L, Ball J. Statistics review 14: Logistic regression. Crit Care. 2005. 9(1):112–118. http://dx.doi.org/10.1186/cc3045.
4. Eberhardt LL, Breiwick JM. Models for population growth curves. ISRN Ecol. 2012. 2012:815016. http://dx.doi.org/doi:10.5402/2012/815016.
5. Giancristofaro RA, Salmaso L. Model performance analysis and model validation in logistic regression. Statistica. 2003. 63(2):375–396.
6. Harrell FE Jr, Lee KL, Mark DB. Multivariable prognostic models: issues in developing models, evaluating assumptions and adequacy, and measuring and reducing errors. Stat Med. 1996. 15:361–387.
7. Hosmer DW, Lemeshow S. Applied logistic regression. 2000. 2nd ed. New York, NY: John Wiley & Sons Inc.
8. Hsieh FY, Bloch DA, Larsen MD. A simple method of sample size calculation for linear and logistic regression. Stat Med. 1998. 17(14):1623–1634.
9. Katz MH. Multivariable analysis: A practical guide for clinicians. 1999. Cambridge: Cambridge University Press.
10. Kleinbaum DG, Klein M. Logistic regression(statistics for biology and health). 2010. 3rd ed. New York, NY: Springer-Verlag New York Inc.
11. Long JS. Regression models for categorical and limited dependent vriables. 1997. Thousand Oaks, CA: Sage Publications.
12. Menard SW. Applied logistic regression analysis (quantitative applications in the social sciences). 2001. 2nd ed. Thousand Oaks, CA: Sage Publications.
13. Morris JA, Gardner MJ. Calculating confidence intervals for relative risks (odds ratios) and standardised ratios and rates. Br Med J (Clin Res Ed). 1988. 296(6632):1313–1316.
14. 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(12):1373–1379.
15. Peng CJ, Lee KL, Ingersoll GM. An introduction to logistic regression analysis and reporting. J Educ Res. 2002. 96(1):3–14.
16. Peng CJ, So TH. Logistic regression analysis and reporting: A primer. Underst Stat. 2002. 1(1):31–70.
17. Tetrault JM, Sauler M, Wells CK, Concato J. Reporting of multivariable methods in the medical literature. J Investig Med. 2008. 56(7):954–957. http://dx.doi.org/10.231/JIM.0b013e31818914ff.
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