全部 标题 作者
关键词 摘要

OALib Journal期刊
ISSN: 2333-9721
费用:99美元

查看量下载量

An Application of Bootstrapping in Logistic Regression Model

DOI: 10.4236/oalib.1103049, PP. 1-9

Subject Areas: Applied Statistical Mathematics, Statistics

Keywords: Nonparametric Bootstrap, Parametric Bootstrap, Logistic Regression, Confidence Interval, Test of Hypothesis

Full-Text   Cite this paper   Add to My Lib

Abstract

Computer intensive methods have recently been intensively studied in the field of mathematics, statistics, physics, engineering, behavioral and life sciences. Bootstrap is a computer intensive method that can be used to estimate variability of estimators, estimate probabilities and quantile related to test statistics or to construct confidence intervals, explore the shape of distribution of estimators or test statistics and to construct predictive distributions to show their asymptotic behaviors. In this paper, we fitted the classical logistic regression model, and performed both parametric and non-parametric bootstrap for estimating confidence interval of parameters for logistic model and odds ratio. We also conducted test of hypothesis that the prevalence does not depend on age. Conclusions from both bootstrap methods were similar to those of classical logistic regression.

Cite this paper

Adjei, I. A. and Karim, R. (2016). An Application of Bootstrapping in Logistic Regression Model. Open Access Library Journal, 3, e3049. doi: http://dx.doi.org/10.4236/oalib.1103049.

References

[1]  Efron, B. and Tibshirani, R.J. (1994) An Introduction to the Bootstrap. Chapman and Hall/CRC, UK.
[2]  Ariffin, S.B. and Midi, H. (2012) Robust Bootstrap Methods in Logistic Regression Model. 2012 International Conference on Statistics in Science, Business, and Engineering (ICSSBE), Langkawi, 10-12 September 2012, 1-6.
http://dx.doi.org/10.1109/ICSSBE.2012.6396613
[3]  Fitrianto, A. and Cing, N.M. (2014) Empirical Distributions of Parameter Estimates in Binary Logistic Regression Using Bootstrap. International Journal of Mathematical Analysis, 8, 721-726.
http://dx.doi.org/10.12988/ijma.2014.4394
[4]  Kleinbaum, D.G. and Klein, M. (2010) Modeling Strategy Guidelines. In: Logistic Regression, Part of the Series Statistics for Biology and Health, Springer, Berlin, 165-202.
http://dx.doi.org/10.1007/978-1-4419-1742-3_6
[5]  Agresti, A. and Kateri, M. (2011) Categorical Data Analysis. Springer, Berlin.
http://dx.doi.org/10.1007/978-3-642-04898-2_161
[6]  Reynolds, J.H. and Templin, W.D. (2004) Comparing Mixture Estimates by Parametric Bootstrapping Likelihood Ratios. Journal of Agricultural, Biological, and Environmental Statistics, 9, 57-74.
http://dx.doi.org/10.1198/1085711043145
[7]  Zoubir, A.M. and Iskander, D.R. (2004) Bootstrap Techniques for Signal Processing. Cambridge University Press, Cambridge.
http://dx.doi.org/10.1017/CBO9780511536717
[8]  Carpenter, J. and Bithell, J. (2000) Bootstrap Confidence Intervals: When, Which, What? A Practical Guide for Medical Statisticians. Statistics in Medicine, 19, 1141-1164.
http://dx.doi.org/10.1002/(SICI)1097-0258(20000515)19:9<1141
::AID-SIM479>3.0.CO;2-F

[9]  Dudewicz, E.J. (1976) Introduction to Statistics and Probability. Holt, Rinehart and Winston, New York.
[10]  Efron, B. (1979) Bootstrap Methods: Another Look at the Jackknife. The Annals of Statistics, 7, 1-26.
http://dx.doi.org/10.1214/aos/1176344552
[11]  Davison, A.C., Hinkley, D.V. and Young, G.A. (2003) Recent Developments in Bootstrap Methodology. Statistical Science, 18, 141-157.
http://dx.doi.org/10.1214/ss/1063994969
[12]  Davison, A.C. and Hinkley, D.V. (1997) Bootstrap Methods and Their Application, Volume 1. Cambridge University Press, Cambridge.
http://dx.doi.org/10.1017/CBO9780511802843
[13]  Fox, J. (2015) Applied Regression Analysis and Generalized Linear Models. Sage Publications, Thousand Oaks, California.

Full-Text


comments powered by Disqus

Contact Us

service@oalib.com

QQ:3279437679

WhatsApp +8615387084133

WeChat 1538708413