ASSESSING THE PERFORMANCE OF SOME RE-SAMPLING METHODS USING LOGISTIC REGRESSION

Authors

Keywords:

Re-sampling, Logistic regression, Odd ratio, HIV and Category data

Abstract

This research reports on the performance of two re-sampling methods (Bootstrap and Jackknife) relationship and significance of social-economic factors (age, gender, marital status and settlement) and modes of HIV/AIDS transmission to the HIV/AIDS spread. Logistic regression model, a form of probabilistic function for binary response was used to relate social-economic factors (age, sex, marital status and settlement) to HIV/AIDS spread. The statistical predictive model was used to project the likelihood response of HIV/AIDS spread with a larger population using 10,000 Bootstrap re-sampled observations and Jackknife re-sampled. From the analysis obtained from the two re-sampling methods, we can conclude that HIV transmission in Kebbi state is higher among the married couples than single individuals and concentrate more in the rural areas.

Dimensions

Bobbit A., Steven P., Moonjung C., James A., and Lewrence R., (2007). Application of Bootstrap method in the International Price Program.

Bello A. O. and Oguntolu F. A. (2005) Application of Bootstrap Re-Sampling Method to a Categorical Data of HIV/AIDS Spread across Different Social-Economic Classes. International Journal of Statistics and Applications 2015, 5(4): 157-168 DOI: 10.5923/j.statistics.20150504.04

Center for Disease Control and Prevention (CDC), (2015 December) HIV Transmission. www.avert.org/learn-share/hiv-fact-sheets/hiv-transmission

Chong H.Y. (2003). Resampling methods: concepts, applications, and justification. Practical Assessment, Research & Evaluation, 8(19). Available URL http://PAREonline.net/getvn.asp?v=8&n=19.

Demographic and Health Survey. SAHARA-J: Journal of Social Aspects of HIV/AIDS, 9:2,5463,DOI:10.1080/17290376.2012.683579.https://doi.org/10.1080/17290376.2012.683579

Efron, B. (1979). Bootstrap methods: Another look at the jackknife. The Annals of Statistics, 7, 1-26.

Efron, B. (1981). Nonparametric estimates of standard error: The jackknife, the bootstrap and other methods. Biometrika, 63, 589-599.

Efron, B. (1982). The jackknife, the bootstrap, and other resampling plans. Society of Industrial and Applied Mathematics CBMS-NSF Monographs, 38.

Efron B. & Gong G. (1983). A Leisurely Look at the Bootstrap, the Jacknife, and Cross validation. The American Statistician, Vol. 37, No.1 (Feb.,1983), 36-48http://www.sas.rochester.edu/psc/clarke/405/EfronGong.pdf

Efron, B, and Tibshirani, R. J. (1993). Monographs on, an introduction to the bootstrap. Statistics and Applied Probability, No. 57. Chapman and Hall, London. 436pp.

Felicia U. I. and Ayodele J.A. (2014), Sociocultural and economic factors influencing the use of HIV/AIDS information by Women in Ugep, Cross River State, Nigeria. Library Philosophy and Practice (e-journal). 114

HIV Integrated Biological and Behavioral Surveillance Survey, (IBBSS) 2010. (NACA/FMOH).

John H. (2013). The Jacknife and Bootstrap.URL: http://www.biostat.umn.edu/~johnh/pubh8422/notes/Jackknife_and_Bootstrap.pdf

Joshua K. (2012), Risk factors associated with HIV infection among young persons aged 15–24 years: Evidence from an in-depth analysis of the 2005–06 Zimbabwe. Journal of Social Aspects of HIV/AIDS, 9:2, 54-63, DOI: 10.1080/17290376.2012.683579

Kalala N. (2005), The Socio-Economic Factors that fuel Sexually Transmitted Diseases (STDS) and which could result in the Transmission of the Human Immunodeficiency Virus (HIV) in Rustenburg.Stellenbosch University https://scholar.sun.ac.za

Krus, D. J. & Fuller, E. A. (1982). Computer-assisted multicross-validation in regression analysis. Educational and Psychological Measurement, 42, 187-193.

Manon L. and Andrew J. (2016). A Direct Comparison of Two Densely Sampled HIV Epidemics: The UK and Switzerland. 1 Scientific RepoRts | 6:32251 | DOI: 10.1038/srep32251 (www.nature.com/scientificreports)

National HIV/AIDS and Reproductive Health Survey (NARHS Plus II 2012)

Progress report on the Global Plan: towards the elimination of HIV infection among children by 2015 and keeping their mothers alive, USAID, 2014).

National HIV Sero-Prevelance sentinel Survey among pregnant women attending antenatal clinics in Nigeria, (FMOH, 2014).

Nigeria HIV/AIDS Indicator and Impact Survey (NAIIS) 2018.

Roposo L.M., Arruda M.B., Brindeiro R.M, Nobre F.F.; Logistic Regression Model for Predicting Resistance to HIV Protease Inhibitor Nelfinerir, XIII Mediterranean Conference on medical and Biological Engineering and Computing 2013,IFMBE proceedings volume 41, 2014,pp 1237-1240. Springer, http://link.spriger.com/chapter/10.1007%2F978-3319-2_306#

Sawyer S. (2005). Re-sampling data: using a Statistical Jacknife. http://www.math.wustl.edu/~sawyer/handouts/Jackknife.pdf

Scholz F.W. (2007) University of Washington, The Bootstrap small sample properties.http://faculty.washington.edu.fscholz/Reports/bootstrap-report.pdf

Scott A. Czepiel, Maximum Likelihood Estimation of Logistic Regression Models: Theory and Implementation, http://czep.net/contact.html.

Walsh B. (2000) Resampling Methods: Randomization Tests, Jackknife and Bootstrap Estimators.http://nitro.biosci.arizona.edu/courses/EEB581-2006/handouts/random.pdf

Wu C. F (Dec.1986). Jackknife, Bootstrap and Other Resampling Methods in Regression Analysis Source: The Annals of Statistics, Vol. 14, No. 4 (Dec., 1986), pp. 1261-1295 URL: http://www.jstor.org/stable/2241454

Published

29-06-2021

How to Cite

ASSESSING THE PERFORMANCE OF SOME RE-SAMPLING METHODS USING LOGISTIC REGRESSION. (2021). FUDMA JOURNAL OF SCIENCES, 5(1), 445-456. https://doi.org/10.33003/fjs-2021-0501-589

Issue

Vol. 5 No. 1 (2021): FUDMA Journal of Sciences - Vol. 5 No. 1

Section

Research Articles
Copyright & Licensing

FUDMA Journal of Sciences

How to Cite

ASSESSING THE PERFORMANCE OF SOME RE-SAMPLING METHODS USING LOGISTIC REGRESSION. (2021). FUDMA JOURNAL OF SCIENCES, 5(1), 445-456. https://doi.org/10.33003/fjs-2021-0501-589

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