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Selection of Transformations of Continuous Predictors in Logistic Regression

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Information Technology - New Generations

Part of the book series: Advances in Intelligent Systems and Computing ((AISC,volume 738))

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Abstract

The binary logistic regression is a machine learning tool for classification and discrimination that is widely used in business analytics and medical research. Transforming continuous predictors to improve model performance of logistic regression is a common practice, but no systematic method for finding optimal transformations exists in the statistical or data mining literature. In this paper, the problem of selecting transformations of continuous predictors to improve the performance of logistic regression models is considered. The proposed method is based upon the point-biserial correlation coefficient between the binary response and a continuous predictor. Several examples are presented to illustrate the proposed method.

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References

  1. M.H. Kutner, C.J. Nachtsheim, J. Neter, Applied Linear Regression Models, 4th edn. (McGraw-Hill Higher Education, Boston, 2004), pp. 129–141

    Google Scholar 

  2. F.E. Harrell, Regression Modeling Strategies: With Applications to Linear Models, Logistic Regression, and Survival Analysis (Springer Science & Business Media, New York, 2001), pp. 7–10

    Book  Google Scholar 

  3. E.W. Steyerberg, Clinical Prediction Models: A Practical Approach to Development, Validation, and Updating (Springer Science & Business Media, New York, 2008), pp. 57–58

    Google Scholar 

  4. R. Kay, S. Little, Transformations of the explanatory variables in the logistic regression model for binary data. Biomelrika 74(3), 495–501 (1987)

    Article  MathSciNet  Google Scholar 

  5. H.C. Kraemer, Correlation coefficients in medical research: from product moment correlation to the odds ratio. Stat. Methods Med. Res. 15, 525–545 (2006)

    Article  MathSciNet  Google Scholar 

  6. NCSS Statistical Software Manual, Chapter 302. Point-Biserial and Biserial Correlations. https://ncss-wpengine.netdna-ssl.com/wp-content/themes/ncss/pdf/Procedures/NCSS/Point-Biserial_and_Biserial_Correlations.pdf

  7. F. Guillet, H. Hamilton, J. (eds.), Quality Measures in Data Mining, vol 43 (Springer, New York, 2007)

    MATH  Google Scholar 

  8. G. James, D. Witten, T. Hastie, R. Tibshirani, An Introduction to Statistical Learning, vol 6 (Springer, New York, 2013)

    Book  Google Scholar 

  9. D.W. Hosmer Jr., H. Lemeshow, Applied Logistic Regression (Wiley, New York, 2004)

    MATH  Google Scholar 

  10. F. Cady, The Data Science Handbook (Wiley, New York, 2017), pp. 118–119

    Google Scholar 

  11. D.M.W. Powers, Evaluation: from precision, recall and F-measure to ROC, informedness, markedness and correlation. J. Mach. Learn. Technol. 2(1), 37–63 (2011)

    MathSciNet  Google Scholar 

  12. J. Fox, G. Monette, Generalized collinearity diagnostics. J. Am. Stat. Assoc. 87, 178–183 (1992)

    Article  Google Scholar 

  13. E.W. Steyerberg, A.J. Vickers, N.R. Cook, T. Gerds, M. Gonen, N. Obuchowski, M.J. Pencina, M.W. Kattan, Assessing the performance of prediction models: a framework for some traditional and novel measures. Epidemiology 21(1), 128–138 (2010)

    Article  Google Scholar 

  14. M. Bozorgi, K. Taghva, A.K. Singh, Cancer survivability with logistic regression, in Computing Conference 2017, London, July 2017, pp. 18–20

    Google Scholar 

  15. Y. Zhao, R and Data Mining: Examples and Case Studies (Academic Press, London, 2012), pp. 90–92

    Google Scholar 

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Correspondence to Ashok K. Singh .

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Chang, M., Dalpatadu, R.J., Singh, A.K. (2018). Selection of Transformations of Continuous Predictors in Logistic Regression. In: Latifi, S. (eds) Information Technology - New Generations. Advances in Intelligent Systems and Computing, vol 738. Springer, Cham. https://doi.org/10.1007/978-3-319-77028-4_58

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  • DOI: https://doi.org/10.1007/978-3-319-77028-4_58

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  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-77027-7

  • Online ISBN: 978-3-319-77028-4

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