A Bivariate Probit Model for Correlated Binary Data with Application to HIV and Male Circumcision

Tabitha Wambui Njoroge; Samuel Musili Mwalili; Anthony Kibira Wanjoya

doi:doi:10.11648/j.ajtas.20150406.27

| Peer-Reviewed

A Bivariate Probit Model for Correlated Binary Data with Application to HIV and Male Circumcision

Tabitha Wambui Njoroge, Samuel Musili Mwalili, Anthony Kibira Wanjoya

Published in American Journal of Theoretical and Applied Statistics (Volume 4, Issue 6)

Received: 29 October 2015 Accepted: 9 November 2015 Published: 19 November 2015

Views: Downloads:

Download PDF

Share This Article

Twitter
Linked In
Facebook

Abstract

As the HIV/AIDS epidemic continues to grow, it continues to be a huge threat to the social and economic well-being of a society. Studies show that the epidemic has significantly affected the development of Kenya. Numerous interventions by different bodies (e.g. the national government, international donors, civil society organizations) to prevent its spread continue to be put in place. Male Circumcision has been proven to reduce the risk of HIV transmission. A statistical model that shows the relationship between male circumcision and HIV prevalence is therefore of great importance as it can be used to bring out the inverse relationship between the two response variables and hence support male circumcision as an effective intervention for prevention of HIV spread. We use Bivariate Probit regression to model the correlation between Male Circumcision and HIV prevalence while looking into factors affecting both HIV and Male Circumcision.

Published in	American Journal of Theoretical and Applied Statistics (Volume 4, Issue 6)
DOI	10.11648/j.ajtas.20150406.27
Page(s)	555-561
Creative Commons	This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.
Copyright	Copyright © The Author(s), 2015. Published by Science Publishing Group

Keywords

Bivariate Probit Model, Human Immunodeficiency Virus (HIV), Male Circumcision (MC), Correlation

References

[1]	IFC International Finance Corporation. IFC against AIDS Partnerships lists: Kenya. 2004.
[2]	Nasr Ahmed “State of the Globe: The Relationship between Male Circumcision and Genitourinary Infections.” J Glob Infect Dis, 2012.
[3]	N. Westercamp Æ R. C. Bailey “Acceptability of Male Circumcision for Prevention of HIV/AIDS in Sub-Saharan Africa: A Review” Springer Science+Business Media, LLC 2006.
[4]	Njeuhmeli E. et al. “Voluntary Medical Male Circumcision: Modeling the Impact and Cost of Expanding Male Circumcision for HIV Prevention in Eastern and Southern Africa.” Ed. Stephanie L. Sansom. PLoS Medicine 8.11 (2011): e1001132. PMC. Web. 9 Nov. 2015.
[5]	Klausner, Jeffrey D et al. “Is Male Circumcision as Good as the HIV Vaccine We’ve Been Waiting For?” Future HIV therapy 2.1 (2008): 1–7. PMC. Web. 29 Oct. 2015.
[6]	Bailey, Robert C. Moses S, Parker CB, et al. "Male circumcision for HIV prevention in young men in Kisumu, Kenya: a randomized controlled trial." 643-656 The lancet 369.9562 (2007).
[7]	Szabo, Robert, and Roger V Short. “How Does Male Circumcision Protect against HIV Infection?” BMJ : British Medical Journal 320.7249 (2000).
[8]	M. Mondal and M. Shitan “Factors affecting the HIV/AIDS epidemic: an ecological analysis of global data” Afr Health Sci. 13(2): 301–310. doi: 10.4314/ahs.v13i2.15; June 2013 June.
[9]	Auvert B, Taljaard D, Lagarde E, Sobngwi-Tambekou J, Sitta R, Puren A”Randomized, controlled intervention trial of male circumcision for reduction of HIV infection risk” the ANRS 1265 Trial.PLoS Med.2(11),E298 (2005).
[10]	Williams BG, Lloyd-Smith JO, Gouw E, Hankins C, Getz WM, Hargrove J, de Zoysa I, Dye C, Auvert B. The potential impact of male circumcision on HIV in Sub-Saharian Africa. Plos Med 2006.
[11]	Oluoch T. et al. “Correlates of HIV Infection Among Sexually Active Adults in Kenya: A National Population-Based Survey.” The Open AIDS Journal 5 (2011): 125–134. PMC. Web. 9 Nov. 2015.
[12]	Introduction to SAS. UCLA: Statistical Consulting Group. From http://www.ats.ucla.edu/stat/sas/notes2/ (accessed November 24, 2007).
[13]	Greenberg, B. G. (1980). "Chester I. Bliss, 1899-1979." International Statistical Review / Revue Internationale de Statistique 8(1): 135-136.

Cite This Article

Plain Text BibTeX RIS

APA Style

Tabitha Wambui Njoroge, Samuel Musili Mwalili, Anthony Kibira Wanjoya. (2015). A Bivariate Probit Model for Correlated Binary Data with Application to HIV and Male Circumcision. American Journal of Theoretical and Applied Statistics, 4(6), 555-561. https://doi.org/10.11648/j.ajtas.20150406.27

Copy | Download

ACS Style

Tabitha Wambui Njoroge; Samuel Musili Mwalili; Anthony Kibira Wanjoya. A Bivariate Probit Model for Correlated Binary Data with Application to HIV and Male Circumcision. Am. J. Theor. Appl. Stat. 2015, 4(6), 555-561. doi: 10.11648/j.ajtas.20150406.27

Copy | Download

AMA Style

Tabitha Wambui Njoroge, Samuel Musili Mwalili, Anthony Kibira Wanjoya. A Bivariate Probit Model for Correlated Binary Data with Application to HIV and Male Circumcision. Am J Theor Appl Stat. 2015;4(6):555-561. doi: 10.11648/j.ajtas.20150406.27

Copy | Download

@article{10.11648/j.ajtas.20150406.27,
  author = {Tabitha Wambui Njoroge and Samuel Musili Mwalili and Anthony Kibira Wanjoya},
  title = {A Bivariate Probit Model for Correlated Binary Data with Application to HIV and Male Circumcision},
  journal = {American Journal of Theoretical and Applied Statistics},
  volume = {4},
  number = {6},
  pages = {555-561},
  doi = {10.11648/j.ajtas.20150406.27},
  url = {https://doi.org/10.11648/j.ajtas.20150406.27},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajtas.20150406.27},
  abstract = {As the HIV/AIDS epidemic continues to grow, it continues to be a huge threat to the social and economic well-being of a society. Studies show that the epidemic has significantly affected the development of Kenya. Numerous interventions by different bodies (e.g. the national government, international donors, civil society organizations) to prevent its spread continue to be put in place. Male Circumcision has been proven to reduce the risk of HIV transmission. A statistical model that shows the relationship between male circumcision and HIV prevalence is therefore of great importance as it can be used to bring out the inverse relationship between the two response variables and hence support male circumcision as an effective intervention for prevention of HIV spread. We use Bivariate Probit regression to model the correlation between Male Circumcision and HIV prevalence while looking into factors affecting both HIV and Male Circumcision.},
 year = {2015}
}

Copy | Download

TY  - JOUR
T1  - A Bivariate Probit Model for Correlated Binary Data with Application to HIV and Male Circumcision
AU  - Tabitha Wambui Njoroge
AU  - Samuel Musili Mwalili
AU  - Anthony Kibira Wanjoya
Y1  - 2015/11/19
PY  - 2015
N1  - https://doi.org/10.11648/j.ajtas.20150406.27
DO  - 10.11648/j.ajtas.20150406.27
T2  - American Journal of Theoretical and Applied Statistics
JF  - American Journal of Theoretical and Applied Statistics
JO  - American Journal of Theoretical and Applied Statistics
SP  - 555
EP  - 561
PB  - Science Publishing Group
SN  - 2326-9006
UR  - https://doi.org/10.11648/j.ajtas.20150406.27
AB  - As the HIV/AIDS epidemic continues to grow, it continues to be a huge threat to the social and economic well-being of a society. Studies show that the epidemic has significantly affected the development of Kenya. Numerous interventions by different bodies (e.g. the national government, international donors, civil society organizations) to prevent its spread continue to be put in place. Male Circumcision has been proven to reduce the risk of HIV transmission. A statistical model that shows the relationship between male circumcision and HIV prevalence is therefore of great importance as it can be used to bring out the inverse relationship between the two response variables and hence support male circumcision as an effective intervention for prevention of HIV spread. We use Bivariate Probit regression to model the correlation between Male Circumcision and HIV prevalence while looking into factors affecting both HIV and Male Circumcision.
VL  - 4
IS  - 6
ER  -

Copy | Download

Author Information

Tabitha Wambui Njoroge

Department of Statistics and Actuarial Sciences, Jomo Kenyatta University of Agriculture and Technology, Nairobi, Kenya
Samuel Musili Mwalili

Department of Statistics and Actuarial Sciences, Jomo Kenyatta University of Agriculture and Technology, Nairobi, Kenya
Anthony Kibira Wanjoya

Department of Statistics and Actuarial Sciences, Jomo Kenyatta University of Agriculture and Technology, Nairobi, Kenya

Download PDF

Sections

Plain Text BibTeX RIS

APA Style

Tabitha Wambui Njoroge, Samuel Musili Mwalili, Anthony Kibira Wanjoya. (2015). A Bivariate Probit Model for Correlated Binary Data with Application to HIV and Male Circumcision. American Journal of Theoretical and Applied Statistics, 4(6), 555-561. https://doi.org/10.11648/j.ajtas.20150406.27

Copy | Download

ACS Style

Tabitha Wambui Njoroge; Samuel Musili Mwalili; Anthony Kibira Wanjoya. A Bivariate Probit Model for Correlated Binary Data with Application to HIV and Male Circumcision. Am. J. Theor. Appl. Stat. 2015, 4(6), 555-561. doi: 10.11648/j.ajtas.20150406.27

Copy | Download

AMA Style

Tabitha Wambui Njoroge, Samuel Musili Mwalili, Anthony Kibira Wanjoya. A Bivariate Probit Model for Correlated Binary Data with Application to HIV and Male Circumcision. Am J Theor Appl Stat. 2015;4(6):555-561. doi: 10.11648/j.ajtas.20150406.27

Copy | Download

@article{10.11648/j.ajtas.20150406.27,
  author = {Tabitha Wambui Njoroge and Samuel Musili Mwalili and Anthony Kibira Wanjoya},
  title = {A Bivariate Probit Model for Correlated Binary Data with Application to HIV and Male Circumcision},
  journal = {American Journal of Theoretical and Applied Statistics},
  volume = {4},
  number = {6},
  pages = {555-561},
  doi = {10.11648/j.ajtas.20150406.27},
  url = {https://doi.org/10.11648/j.ajtas.20150406.27},
  eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.ajtas.20150406.27},
  abstract = {As the HIV/AIDS epidemic continues to grow, it continues to be a huge threat to the social and economic well-being of a society. Studies show that the epidemic has significantly affected the development of Kenya. Numerous interventions by different bodies (e.g. the national government, international donors, civil society organizations) to prevent its spread continue to be put in place. Male Circumcision has been proven to reduce the risk of HIV transmission. A statistical model that shows the relationship between male circumcision and HIV prevalence is therefore of great importance as it can be used to bring out the inverse relationship between the two response variables and hence support male circumcision as an effective intervention for prevention of HIV spread. We use Bivariate Probit regression to model the correlation between Male Circumcision and HIV prevalence while looking into factors affecting both HIV and Male Circumcision.},
 year = {2015}
}

Copy | Download

TY  - JOUR
T1  - A Bivariate Probit Model for Correlated Binary Data with Application to HIV and Male Circumcision
AU  - Tabitha Wambui Njoroge
AU  - Samuel Musili Mwalili
AU  - Anthony Kibira Wanjoya
Y1  - 2015/11/19
PY  - 2015
N1  - https://doi.org/10.11648/j.ajtas.20150406.27
DO  - 10.11648/j.ajtas.20150406.27
T2  - American Journal of Theoretical and Applied Statistics
JF  - American Journal of Theoretical and Applied Statistics
JO  - American Journal of Theoretical and Applied Statistics
SP  - 555
EP  - 561
PB  - Science Publishing Group
SN  - 2326-9006
UR  - https://doi.org/10.11648/j.ajtas.20150406.27
AB  - As the HIV/AIDS epidemic continues to grow, it continues to be a huge threat to the social and economic well-being of a society. Studies show that the epidemic has significantly affected the development of Kenya. Numerous interventions by different bodies (e.g. the national government, international donors, civil society organizations) to prevent its spread continue to be put in place. Male Circumcision has been proven to reduce the risk of HIV transmission. A statistical model that shows the relationship between male circumcision and HIV prevalence is therefore of great importance as it can be used to bring out the inverse relationship between the two response variables and hence support male circumcision as an effective intervention for prevention of HIV spread. We use Bivariate Probit regression to model the correlation between Male Circumcision and HIV prevalence while looking into factors affecting both HIV and Male Circumcision.
VL  - 4
IS  - 6
ER  -

Copy | Download