The Logistic Regression Models and the Accuracy Measures in Analyzing Medical Data

Authors

  • Taghreed Al-Said A lecturer of Statistics at AL AZHAR University, Faculty of Commerce, Department of Statistics, Cairo, Egypt

Keywords:

Ordinary regression models, logistic regression models, the R-squared measure, the Wilks’ Lambda measure.

Abstract

There are many statistical models for analyzing categorical outcome variable such as the classification models, the discriminant models, and the logistic regression models. This research introduces a comparison study between these regression models to analyze medical data on the basis of several measures of predictive accuracy to set proper choice between them. A reviewed of such models and the assumptions of each model will introduce in the research. Many evaluation and accuracy measures for evaluating models are presented. Two applications in the medical field are introduced using two different real data sets to make the comparisons between models. The analysis of the results and conclusions are concluded in the research.

References

P. Abdolmaleki, M.M. Dizagi, M. Vahead, and M. Gity. “Logistic discriminant anlysis of breast cancer using ultrasound measurements.” Iran Journal Radiat, Research, 2004, pp. 1-8.

A. Agresti. Categorical Data Analysis. New Jersey, 2007, John Wiley & Sons.

S. Ben Youssef and A. Rebai. “Comparison between Statistical Approaches and Linear Programming for Resolving Classification Problem.” International Mathematical Forum, 2007, pp. 3125-3141.

S. Chatterjee and A. Hadi. Regression Analysis by Example. The United States of America, 2006, John Wiley & Sons, Inc.

A. Christianson , and H. Bender. The Complete Idiot's Guide to Thyroid Disease (Idiot's Guides). New York, 2011, Penguin Group.

C. M. Dayton. “Logistic regression analysis statistics and evaluation: linear programming for resolving classification problem”. International Mathematical Forum, 1992, pp. 3125-3141.

S. Green, N.J. Salkind, and T.M. Akey. Using SPSS for Windows and Macintosh: Analyzing and understanding data. New Jersey, 2008, Prentice Hall.

J.F. Hair, W.C. Black, R.E. Anderson, and B.J. Babin. Multivariate Data Analysis. (Vol. 7th), 2010, Pearson Prentice Hall.

D.W. Hosmer and S. Lemeshow. Applied Logistic Regression. Canada, John Wiley & Sons Inc., 2000, Second edition.

M. Pohar, M. Blas, and S. Turk. Comparison of Logistic Regression and Linear Discriminant Analysis: A Simulation Study. Metodoloski zvezki, 2004, pp.143-161.

D.W. Stockburger. Muitivariate Statistics :Concept, Models, and Applications (Vol. III). Missouri State University, 1998

S. Suleiman, I. Suleman, U. Usman, and Y.O. Salami. “Predicting an Applicant Status Using Principal Component, Discriminant and Logistic Regression Analysis”. International Journal of Mathematics and Statistics Invention, 2014, pp. 05-15.

Sites

American Cancer Socity. What is thyroid cancer? Retrieved from American Cancer Socity. http: // www.cancer.org/cancer/thyroidcancer/detailedguide/thyroid-cancer-what-is-thyroid-cancer. [2016]

F.E. Harrell and Jr. K. L. Lee. https:// pdfs.semanticscholar.org / 2f1a / c6401855dd86aacd47d8eb85b1c6b3f21615.pdf, [1985]

M. Lichman. {UCI} Machine Learning Repository. (University of California, Irvine, School of Information and Computer Sciences) Retrieved from ". http://archive.ics.uci.edu/ml". [2013]

Ministry of Health. National Campaign for Breast Cancer Awareness. Retrieved from:

http://www.moh.gov.sa/en/HealthAwareness/Campaigns/Breastcancer/Pages/ efault.aspx. [2015]

National Cancer Institute. A Snapshot of Thyroid Cancer. Retrieved from National Cancer Institute: https: // www.cancer.gov / research /progress/snapshots / thyroid. [2014]

C. Nordqvist. Breast Cancer: Causes, Symptoms and Treatments. Retrieved from Medical News Today. http: // www.medicalnewstoday.com/articles / 37136.php. [2016]

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Published

2018-05-20

How to Cite

Al-Said, T. (2018). The Logistic Regression Models and the Accuracy Measures in Analyzing Medical Data. International Journal of Sciences: Basic and Applied Research (IJSBAR), 38(2), 223–236. Retrieved from https://www.gssrr.org/index.php/JournalOfBasicAndApplied/article/view/8954

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Articles