Comparing Frequentist and Bayesian Quantile Regression Models for Child Hypertension in South Africa

Authors

  • Anesu Gelfand Kuhudzai Business Statistics and Operations Research Department, Faculty of Economic and Management Sciences, North-West University, South Africa
  • Kolentino N. Mpeta Statistical and Data Science Consultant, Statistical Consultation Services, University of Johannesburg, Johannesburg, South Africa

DOI:

https://doi.org/10.6000/1929-6029.2025.14.66

Keywords:

Bayesian quantile regression, frequentist quantile regression, paediatric hypertension, South Africa, extreme values

Abstract

Background: Traditional approaches to modelling paediatric hypertension in South Africa have relied on descriptive or mean regression methods, which inadequately capture risk factors driving the distributional extremes of blood pressure. Quantile regression provides a flexible alternative, and Bayesian methods offer advantages in precision and uncertainty estimation, yet their comparative performance has not been assessed in this context.

Methods: Nationally representative cross-sectional data from 1,812 adolescents (15–17 years) in the South African National Income Dynamics Study (NIDS) Wave 5 (2017–2018) was analysed. Frequentist and Bayesian quantile regression models were fitted for systolic (SBP) and diastolic blood pressure (DBP) at the 75th and 95th percentiles. Model performance was compared in terms of parameter estimates, interval precision, and convergence diagnostics.

Results: BMI and gender were consistent predictors of both SBP and DBP across models. Bayesian quantile regression additionally identified age, race, and pulse rate as significant risk factors for upper quantiles. Bayesian credible intervals were consistently narrower than frequentist confidence intervals, indicating improved precision. Convergence diagnostics confirmed robust posterior inference.

Conclusion: Bayesian quantile regression provides more efficient inference than the frequentist alternative when modelling health outcomes concentrated in distributional extremes. This is the first study to apply Bayesian quantile regression to paediatric hypertension in South Africa, demonstrating both methodological value and empirical insights into adolescent health risks.

References

Gomwe H, Seekoe E, Lyoka P, Marange CS. Blood pressure profile of primary school children in Eastern Cape province, South Africa: prevalence and risk factors. BMC Pediatr 2022; 22: 207. DOI: https://doi.org/10.1186/s12887-022-03221-5

Nkeh-Chungag BN, Sekokotla AM, Sewani-Rusike C, Namugowa A, Iputo JE. Prevalence of Hypertension and Pre-hypertension in 13-17 Year Old Adolescents Living in Mthatha - South Africa: a Cross-Sectional Study. Cent Eur J Public Health 2015; 23: 59-64. DOI: https://doi.org/10.21101/cejph.a3922

Kagura J, Adair LS, Musa MG, Pettifor JM, Norris SA. Blood pressure tracking in urban black South African children: birth to twenty cohort. BMC Pediatr 2015; 15: 78. DOI: https://doi.org/10.1186/s12887-015-0402-z

Joubert N, Walter C, Du Randt R, Aerts A, Adams L, Degen J, et al. Hypertension among South African children in disadvantaged areas and associations with physical activity, fitness, and cardiovascular risk markers: A cross-sectional study. J Sports Sci 2021; 39: 2454-67. DOI: https://doi.org/10.1080/02640414.2021.1939964

Koenker R, Hallock KF. Quantile Regression An Introduction. J Econ Perspect 2001; 15: 143-56. DOI: https://doi.org/10.1257/jep.15.4.143

Benoit DF, Van den Poel D. A Bayesian Approach to Quantile Regression. J Stat Softw 2017; 76. DOI: https://doi.org/10.18637/jss.v076.i07

Yu K, Moyeed RA. Bayesian quantile regression. Stat Probab Lett 2001; 54: 437-47. DOI: https://doi.org/10.1016/S0167-7152(01)00124-9

National High Blood Pressure Education Program Working Group on High Blood Pressure in Children and Adolescents. The Fourth Report on the Diagnosis, Evaluation, and Treatment of High Blood Pressure in Children and Adolescents. Pediatrics 2004; 114: 555-76. DOI: https://doi.org/10.1542/peds.114.2.S2.555

Hu Y, Wang HJ, He X, Guo J. Bayesian joint-quantile regression. Comput Stat 2021; 36: 2033-53. DOI: https://doi.org/10.1007/s00180-020-00998-w

Soomro S, Yu K. Bayesian fractional polynomial approach to quantile regression and variable selection with application in the analysis of blood pressure among US adults. J Appl Stat 2024: 1-22. DOI: https://doi.org/10.1080/02664763.2024.2359526

Barrodale I, Roberts FDK. An Improved Algorithm for Discrete $l_1 $ Linear Approximation. SIAM J Numer Anal 1973; 10: 839-48. DOI: https://doi.org/10.1137/0710069

Yu K, Zhang J. A Three-Parameter Asymmetric Laplace Distribution and Its Extension. Commun Stat - Theory Methods 2005; 34: 1867-79. DOI: https://doi.org/10.1080/03610920500199018

Koenker R, Chernozhukov V, He X, Peng L, editors. Handbook of Quantile Regression. 1st ed. Chapman and Hall/CRC; 2017. DOI: https://doi.org/10.1201/9781315120256

Martin AD, Quinn KM, Park JH. MCMCpack: Markov Chain Monte Carlo in R. J Stat Softw 2011; 42. DOI: https://doi.org/10.18637/jss.v042.i09

Hamra G, MacLehose R, Richardson D. Markov Chain Monte Carlo: An introduction for epidemiologists. Int J Epidemiol 2013; 42: 627-34. DOI: https://doi.org/10.1093/ije/dyt043

Plummer M, Best N, Cowles K, Vines K, Sarkar D, Bates D, et al. Output Analysis and Diagnostics for MCMC 2016.

Fenske N, Kneib T, Hothorn T. Identifying Risk Factors for Severe Childhood Malnutrition by Boosting Additive Quantile Regression. J Am Stat Assoc 2011; 106: 494-510. DOI: https://doi.org/10.1198/jasa.2011.ap09272

Sinharay S. Assessing Convergence of the Markov Chain Monte Carlo Algorithms: A Review. Princeton, NJ: Educational Testing Service; 2003. DOI: https://doi.org/10.1002/j.2333-8504.2003.tb01899.x

Rea LM, Parker RA. Designing and conducting survey research: a comprehensive guide. Fourth edition. San Francisco, CA: Jossey-Bass; 2014.

Lesaffre E, Lawson A. Bayesian Biostatistics. Chichester: Wiley; 2012. DOI: https://doi.org/10.1002/9781119942412

Gelman A, Rubin DB. Inference from Iterative Simulation Using Multiple Sequences. Stat Sci 1992; 7: 457-72. DOI: https://doi.org/10.1214/ss/1177011136

Matizirofa L, Kuhudzai AG. Predictors of High Blood Pressure in South African Children: Quantile Regression Approach. Int J Stat Med Res 2017; 6: 84-91. DOI: https://doi.org/10.6000/1929-6029.2017.06.02.4

Raphadu TT, Staden MV, Dibakwane WM, Monyeki KD. A Non-Invasive Investigation into the Prevalence of Higher than Normal Blood Pressure, Hypertension and the Association between Blood Pressure and Body Weight in Male and Female Adolescents in the Polokwane Local Municipality, Limpopo-South Africa: A Cross-Sectional Study. Children 2020; 7: 18. DOI: https://doi.org/10.3390/children7030018

Christofaro DGD, Casonatto J, Vanderlei LCM, Cucato GG, Dias RMR. Relationship between Resting Heart Rate, Blood Pressure and Pulse Pressure in Adolescents. Arq Bras Cardiol 2017. DOI: https://doi.org/10.5935/abc.20170050

Muntner P. Trends in Blood Pressure Among Children and Adolescents. JAMA 2004; 291: 2107. DOI: https://doi.org/10.1001/jama.291.17.2107

Chen J, Wang Y, Li W, Zhang Y, Cao R, Peng X, et al. Physical activity and eating behaviors patterns associated with high blood pressure among Chinese children and adolescents. BMC Public Health 2023; 23: 1516. DOI: https://doi.org/10.1186/s12889-023-16331-1

Levy RV, Brathwaite KE, Sarathy H, Reidy K, Kaskel FJ, Melamed ML. Analysis of Active and Passive Tobacco Exposures and Blood Pressure in US Children and Adolescents. JAMA Netw Open 2021; 4: e2037936. DOI: https://doi.org/10.1001/jamanetworkopen.2020.37936

Olive LS, Abhayaratna WP, Byrne D, Telford RM, Berk M, Telford RD. Depression, stress and vascular function from childhood to adolescence: A longitudinal investigation. Gen Hosp Psychiatry 2020; 62: 6-12. DOI: https://doi.org/10.1016/j.genhosppsych.2019.10.001

Juhan N, Zubairi YZ, Mohd Khalid Z, Mahmood Zuhdi AS. A Comparison Between Bayesian and Frequentist Approach in the Analysis of Risk Factors for Female Cardiovascular Disease Patients in Malaysia. ASM Sci J 2020: 1-7. DOI: https://doi.org/10.32802/asmscj.2020.sm26(1.1)

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Published

2025-11-24

How to Cite

Kuhudzai, A. G. ., & Mpeta, K. N. . (2025). Comparing Frequentist and Bayesian Quantile Regression Models for Child Hypertension in South Africa. International Journal of Statistics in Medical Research, 14, 734–744. https://doi.org/10.6000/1929-6029.2025.14.66

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General Articles