Comparative analysis of linear and quantile regression models in predicting body mass index among students
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Published:
Jun 30, 2023
Keywords:
quantile regression; Body Mass Index (BMI); Students; Linear regression
Section
Basic and Applied Mathematics Science
Statistics Article
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Abstract
This study applies quantile regression to model the Body Mass Index (BMI) of 152 students from Delta State Polytechnic in Delta State, Nigeria. The BMI serves as the response variable, while skin fold (SK), feeding habit (FH), feeding frequency (FF), and frequency of exercising (FE) are considered as explanatory variables. A comparison is made between the results obtained from the classical linear regression model and quantile regression models at different quantiles (p = 0.1, 0.25, 0.5, 0.75, and 0.9) to examine the impact of the variables on the students' BMI and assess if the relationships differ across quantiles. The findings reveal significant differences between the classical linear regression and quantile regression models, emphasizing the importance of quantile regression in capturing the nuances of the relationship between variables at different points of the BMI distribution. The study highlights the limitations of the classical linear regression model in providing a comprehensive understanding of the data and underscores the value of quantile regression in enhancing our insights into the relationship between BMI and the considered factors. This research contributes to the broader literature on quantile regression and its applications in exploring BMI and related health issues among students
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How to Cite
M, O. C., D, U. N., & Aronu, C. (2023). Comparative analysis of linear and quantile regression models in predicting body mass index among students . International Journal of Basic and Applied Science, 12(1), 20–32. https://doi.org/10.35335/ijobas.v12i1.184
References
P. C. Bürkner and M. Vuorre, "Ordinal Regression Models in Psychology: A Tutorial," Advances in Methods and Practices in Psychological Science, vol. 2, no. 1, 2019. [Online]. Available: https://doi.org/10.1177/2515245918823199
N. Kwark and C. Lee, "Asymmetric effects of financial conditions on GDP growth in Korea: A quantile regression analysis," Economic Modelling, vol. 94, pp. 351-369, 2021. [Online]. Available: https://doi.org/10.1016/j.econmod.2020.10.014
T. H. Kim, E. K. Lee, and E. Han, "Quantile regression analyses of associated factors for body mass index in Korean adolescents," Public Health, vol. 129, no. 5, pp. 424-435, 2015. [Online]. Available: https://doi.org/10.1016/j.puhe.2015.01.021
A. Nicolucci and C. Maffeis, "The adolescent with obesity: what perspectives for treatment?," Ital J Pediatr, vol. 48, no. 1, p. 9, 2022. [Online]. Available: https://doi.org/10.1186/s13052-022-01205-w
Q. Huang, H. Zhang, J. Chen, and M. He, "Quantile Regression Models and Their Applications: A Review," Journal of Biometrics & Biostatistics, vol. 8, no. 3, 2017
D. A. Amugsi, Z. T. Dimbuene, G. Asiki, and C. Kyobutungi, "Quantile regression analysis of modifiable and non-modifiable drivers' of blood pressure among urban and rural women in Ghana," Scientific Reports, vol. 8, no. 1, 2018. https://doi.org/10.1038/s41598-018-26991-4
J. A. Mitchell, M. Dowda, R. R. Pate, K. Kordas, K. Froberg, L. B. Sardinha, E. Kolle, and A. Page, "Physical Activity and Pediatric Obesity: A Quantile Regression Analysis," Medicine and Science in Sports and Exercise, vol. 49, no. 3, 2017. [Online]. Available: https://doi.org/10.1249/MSS.0000000000001129
O. Agofure, "Prevalence of obesity among adults in Issele-Uku, Delta State Nigeria," Alexandria Journal of Medicine, vol. 54, no. 4, pp. 463-468, 2018. [Online]. Available: https://doi.org/10.1016/j.ajme.2017.10.005
C. Tukuitonga and I. Keller, "Implementing the World Health Organization Global Strategy on Diet, Physical Activity and Health," Scandinavian Journal of Nutrition/Naringsforskning, vol. 49, no. 3, 2005
I. Janssen, P. T. Katzmarzyk, and R. Ross, "Waist circumference and not body mass index explains obesity-related health risk," The American Journal of Clinical Nutrition, vol. 79, no. 3, pp. 379-384, 2004. [Online]. Available: https://doi.org/10.1093/ajcn/79.3.379
W. Maziak, S. Rastam, T. Eissenberg, T. Asfar, F. Hammal, M. E. Bachir, M. F. Fouad, and K. D. Ward, "Gender and smoking status-based analysis of views regarding waterpipe and cigarette smoking in Aleppo, Syria," Preventive Medicine, vol. 38, no. 4, 2004.
H. Yun, D. W. Kim, E. J. Lee, J. Jung, and S. Yoo, "Analysis of the Effects of Nutrient Intake and Dietary Habits on Depression in Korean Adults," Nutrients, vol. 13, no. 4, p. 1360, Apr. 2021.
D. Yıldırım and A. K. Çelik, "Testing the pecking order theory of capital structure: Evidence from Turkey using panel quantile regression approach," Borsa Istanbul Review, vol. 2, no. 2, pp. 460-479, Jun. 2020.
J. Duasa and N. H. Zainal, "Determinants of household income of micro-finance women participants: a quantile regression approach," Ecofeminism and Climate Change, vol. 1, no. 1, pp. 63-74, 2020.
Y. Chen, K. Raza, and M. Alharthi, "The nexus between remittances, education, and energy consumption: Evidence from developing countries," Energy Strategy Reviews, vol. 46, p. 101069, 2023. [Online]. Available: https://doi.org/10.1016/j.esr.2023.101069
H. Uchinuma, K. Tsuchiya, T. Sekine, S. Horiuchi, M. Kushima, S. Otawa, H. Yokomichi, K. Miyake, Y. Akiyama, T. Ooka, R. Kojima, R. Shinohara, S. Hirata, Z. Yamagata, M. Kamijima, S. Yamazaki, Y. Ohya, R. Kishi, N. Yaegashi, K. Hashimoto, C. Mori, S. Ito, Z. Yamagata, H. Inadera, T. Nsakayama, H. Iso, M. Shima, Y. Kurozawa, N. Suganuma, K. Kusuhara, T. Katoh, "Correction: Gestational body weight gain and risk of low birth weight or macrosomia in women of Japan: a nationwide cohort study (International Journal of Obesity, (2021), 45, 12, (2666-2674), 10.1038/s41366-021-00947-7)," International Journal of Obesity, vol. 46, no. 6, 2022.
F. M. Costa Leite, J. R. Tovar Garbin, M. Junior, and L. C. Lopes-Júnior, "COVID-19 Mortality in Public Hospitals in a Brazilian State: An Analysis of the Three Waves of the Pandemic," International Journal of Environmental Research and Public Health, vol. 19, no. 21, 2022.
A.-F. Turcotte, S. Jean, S. N. Morin, F. Mac-Way, and C. Gagnon, "Relationships between Obesity and Incidence of Fractures in a Middle‐Aged Population: A Study from the CARTaGENE Cohort," JBMR Plus, vol. 5, no. 1, 2023.
P. Kaazan, Z. Tan, P. Maiyani, M. Mickenbecker, S. Edwards, C. McIvor, J. M. Andrews, "Weight and BMI Patterns in a Biologicals-Treated IBD Cohort," Digestive Diseases and Sciences, vol. 67, no. 12, pp. 5628-5636, 2022. [Online]. Available: https://doi.org/10.1007/s10620-022-07488-7
S. Vahidi, A. Aghausefi, and H. Namvar, "Predicting happiness based on self-differentiation mediated coping styles in obese men and women," Journal of Applied Family Therapy, vol. 2, no. 2, pp. 460-479.
S. Venkatesh, T. Ferreira, S. Benonisdottir, N. Rahmioglu, C. M. Becker, I. Granne, K. T. Zondervan, M. V. Holmes, C. M. Lindgren, and L. B. Wittemans, "Obesity and risk of female reproductive conditions: A Mendelian randomisation study," PLoS Medicine, vol. 19, no. 2, 2022. [Online]. Available: https://doi.org/10.1371/journal.pmed.1003679.
L. J. Dominguez, N. Veronese, G. Di Bella, C. Cusumano, A. Parisi, F. Tagliaferri, S. Ciriminna, and M. Barbagallo, "Mediterranean diet in the management and prevention of obesity," Experimental Gerontology, vol. 174, p. 112121, 2023. [Online]. Available: https://doi.org/10.1016/j.exger.2023.112121.
A. Dawed, T. C. Mekonnen, M. Genetu, S. E. Tadesse, R. Dewau, A. Muche, A. A. Zerga, F. Y. Ayele, and T. K. Gill, "Comparing the validity of anthropometric measurements in identifying malnutrition status of older age people in Borena district, North Central Ethiopia: A cross-sectional study," BMC Geriatrics, vol. 22, no. 1, p. 776, 2022.
M. H. Smith, J. W. Myrick, O. Oyageshio, C. Uren, J. Saayman, S. Boolay, C. Werely, M. Möller, B. M. Henn, and A. W. Reynolds, "Epidemiological correlates of overweight and obesity in the Northern Cape Province, South Africa," PeerJ, vol. 11, 2023. [Online]. Available: https://doi.org/10.7717/peerj.14723.
F. Teufel, J. A. Seiglie, P. Geldsetzer, M. Theilmann, M. E. Marcus, C. Ebert, W. A. L. Arboleda, K. Agoudavi, G. Andall-Brereton, K. K. Aryal, B. W. Bicaba, G. Brian, P. Bovet, M. Dorobantu, M. S. Gurung, D. Guwatudde, C. Houehanou, D. Houinato, J. M. A. Jorgensen, G. B. Kagaruki, K. B. Karki, D. Labadarios, J. S. Martins, M. T. Mayige, R. W. McClure, J. K. Mwangi, O. Mwalim, B. Norov, S. Crooks, F. Farzadfar, S. S. Moghaddam, B. K. Silver, L. Sturua, C. S. Wesseh, A. C. Stokes, U. R. Essien, J. W. De Neve, R. Atun, J. I. Davies, S. Vollmer, T. W. Bärnighausen, M. K. Ali, J. B. Meigs, D. J. Wexler, and J. Manne-Goehler, "Body-mass index and diabetes risk in 57 low-income and middle-income countries: a cross-sectional study of nationally representative, individual-level data in 685,616 adults," The Lancet, vol. 398, no. 10296, pp. 238–248, 2021
M. Siddiqa, G. H. Shah, T. L. Mayo-Gamble, and A. Zubair, "Determinants of Child Stunting, Wasting, and Underweight: Evidence from 2017 to 2018 Pakistan Demographic and Health Survey," Journal of Nutrition and Metabolism, vol. 2023, Article ID 2845133, pp. 1-12, 2023.
N. Kwark and C. Lee, "Asymmetric effects of financial conditions on GDP growth in Korea: A quantile regression analysis," Economic Modelling, vol. 94, pp. 351-369, 2021. [Online]. Available: https://doi.org/10.1016/j.econmod.2020.10.014
T. H. Kim, E. K. Lee, and E. Han, "Quantile regression analyses of associated factors for body mass index in Korean adolescents," Public Health, vol. 129, no. 5, pp. 424-435, 2015. [Online]. Available: https://doi.org/10.1016/j.puhe.2015.01.021
A. Nicolucci and C. Maffeis, "The adolescent with obesity: what perspectives for treatment?," Ital J Pediatr, vol. 48, no. 1, p. 9, 2022. [Online]. Available: https://doi.org/10.1186/s13052-022-01205-w
Q. Huang, H. Zhang, J. Chen, and M. He, "Quantile Regression Models and Their Applications: A Review," Journal of Biometrics & Biostatistics, vol. 8, no. 3, 2017
D. A. Amugsi, Z. T. Dimbuene, G. Asiki, and C. Kyobutungi, "Quantile regression analysis of modifiable and non-modifiable drivers' of blood pressure among urban and rural women in Ghana," Scientific Reports, vol. 8, no. 1, 2018. https://doi.org/10.1038/s41598-018-26991-4
J. A. Mitchell, M. Dowda, R. R. Pate, K. Kordas, K. Froberg, L. B. Sardinha, E. Kolle, and A. Page, "Physical Activity and Pediatric Obesity: A Quantile Regression Analysis," Medicine and Science in Sports and Exercise, vol. 49, no. 3, 2017. [Online]. Available: https://doi.org/10.1249/MSS.0000000000001129
O. Agofure, "Prevalence of obesity among adults in Issele-Uku, Delta State Nigeria," Alexandria Journal of Medicine, vol. 54, no. 4, pp. 463-468, 2018. [Online]. Available: https://doi.org/10.1016/j.ajme.2017.10.005
C. Tukuitonga and I. Keller, "Implementing the World Health Organization Global Strategy on Diet, Physical Activity and Health," Scandinavian Journal of Nutrition/Naringsforskning, vol. 49, no. 3, 2005
I. Janssen, P. T. Katzmarzyk, and R. Ross, "Waist circumference and not body mass index explains obesity-related health risk," The American Journal of Clinical Nutrition, vol. 79, no. 3, pp. 379-384, 2004. [Online]. Available: https://doi.org/10.1093/ajcn/79.3.379
W. Maziak, S. Rastam, T. Eissenberg, T. Asfar, F. Hammal, M. E. Bachir, M. F. Fouad, and K. D. Ward, "Gender and smoking status-based analysis of views regarding waterpipe and cigarette smoking in Aleppo, Syria," Preventive Medicine, vol. 38, no. 4, 2004.
H. Yun, D. W. Kim, E. J. Lee, J. Jung, and S. Yoo, "Analysis of the Effects of Nutrient Intake and Dietary Habits on Depression in Korean Adults," Nutrients, vol. 13, no. 4, p. 1360, Apr. 2021.
D. Yıldırım and A. K. Çelik, "Testing the pecking order theory of capital structure: Evidence from Turkey using panel quantile regression approach," Borsa Istanbul Review, vol. 2, no. 2, pp. 460-479, Jun. 2020.
J. Duasa and N. H. Zainal, "Determinants of household income of micro-finance women participants: a quantile regression approach," Ecofeminism and Climate Change, vol. 1, no. 1, pp. 63-74, 2020.
Y. Chen, K. Raza, and M. Alharthi, "The nexus between remittances, education, and energy consumption: Evidence from developing countries," Energy Strategy Reviews, vol. 46, p. 101069, 2023. [Online]. Available: https://doi.org/10.1016/j.esr.2023.101069
H. Uchinuma, K. Tsuchiya, T. Sekine, S. Horiuchi, M. Kushima, S. Otawa, H. Yokomichi, K. Miyake, Y. Akiyama, T. Ooka, R. Kojima, R. Shinohara, S. Hirata, Z. Yamagata, M. Kamijima, S. Yamazaki, Y. Ohya, R. Kishi, N. Yaegashi, K. Hashimoto, C. Mori, S. Ito, Z. Yamagata, H. Inadera, T. Nsakayama, H. Iso, M. Shima, Y. Kurozawa, N. Suganuma, K. Kusuhara, T. Katoh, "Correction: Gestational body weight gain and risk of low birth weight or macrosomia in women of Japan: a nationwide cohort study (International Journal of Obesity, (2021), 45, 12, (2666-2674), 10.1038/s41366-021-00947-7)," International Journal of Obesity, vol. 46, no. 6, 2022.
F. M. Costa Leite, J. R. Tovar Garbin, M. Junior, and L. C. Lopes-Júnior, "COVID-19 Mortality in Public Hospitals in a Brazilian State: An Analysis of the Three Waves of the Pandemic," International Journal of Environmental Research and Public Health, vol. 19, no. 21, 2022.
A.-F. Turcotte, S. Jean, S. N. Morin, F. Mac-Way, and C. Gagnon, "Relationships between Obesity and Incidence of Fractures in a Middle‐Aged Population: A Study from the CARTaGENE Cohort," JBMR Plus, vol. 5, no. 1, 2023.
P. Kaazan, Z. Tan, P. Maiyani, M. Mickenbecker, S. Edwards, C. McIvor, J. M. Andrews, "Weight and BMI Patterns in a Biologicals-Treated IBD Cohort," Digestive Diseases and Sciences, vol. 67, no. 12, pp. 5628-5636, 2022. [Online]. Available: https://doi.org/10.1007/s10620-022-07488-7
S. Vahidi, A. Aghausefi, and H. Namvar, "Predicting happiness based on self-differentiation mediated coping styles in obese men and women," Journal of Applied Family Therapy, vol. 2, no. 2, pp. 460-479.
S. Venkatesh, T. Ferreira, S. Benonisdottir, N. Rahmioglu, C. M. Becker, I. Granne, K. T. Zondervan, M. V. Holmes, C. M. Lindgren, and L. B. Wittemans, "Obesity and risk of female reproductive conditions: A Mendelian randomisation study," PLoS Medicine, vol. 19, no. 2, 2022. [Online]. Available: https://doi.org/10.1371/journal.pmed.1003679.
L. J. Dominguez, N. Veronese, G. Di Bella, C. Cusumano, A. Parisi, F. Tagliaferri, S. Ciriminna, and M. Barbagallo, "Mediterranean diet in the management and prevention of obesity," Experimental Gerontology, vol. 174, p. 112121, 2023. [Online]. Available: https://doi.org/10.1016/j.exger.2023.112121.
A. Dawed, T. C. Mekonnen, M. Genetu, S. E. Tadesse, R. Dewau, A. Muche, A. A. Zerga, F. Y. Ayele, and T. K. Gill, "Comparing the validity of anthropometric measurements in identifying malnutrition status of older age people in Borena district, North Central Ethiopia: A cross-sectional study," BMC Geriatrics, vol. 22, no. 1, p. 776, 2022.
M. H. Smith, J. W. Myrick, O. Oyageshio, C. Uren, J. Saayman, S. Boolay, C. Werely, M. Möller, B. M. Henn, and A. W. Reynolds, "Epidemiological correlates of overweight and obesity in the Northern Cape Province, South Africa," PeerJ, vol. 11, 2023. [Online]. Available: https://doi.org/10.7717/peerj.14723.
F. Teufel, J. A. Seiglie, P. Geldsetzer, M. Theilmann, M. E. Marcus, C. Ebert, W. A. L. Arboleda, K. Agoudavi, G. Andall-Brereton, K. K. Aryal, B. W. Bicaba, G. Brian, P. Bovet, M. Dorobantu, M. S. Gurung, D. Guwatudde, C. Houehanou, D. Houinato, J. M. A. Jorgensen, G. B. Kagaruki, K. B. Karki, D. Labadarios, J. S. Martins, M. T. Mayige, R. W. McClure, J. K. Mwangi, O. Mwalim, B. Norov, S. Crooks, F. Farzadfar, S. S. Moghaddam, B. K. Silver, L. Sturua, C. S. Wesseh, A. C. Stokes, U. R. Essien, J. W. De Neve, R. Atun, J. I. Davies, S. Vollmer, T. W. Bärnighausen, M. K. Ali, J. B. Meigs, D. J. Wexler, and J. Manne-Goehler, "Body-mass index and diabetes risk in 57 low-income and middle-income countries: a cross-sectional study of nationally representative, individual-level data in 685,616 adults," The Lancet, vol. 398, no. 10296, pp. 238–248, 2021
M. Siddiqa, G. H. Shah, T. L. Mayo-Gamble, and A. Zubair, "Determinants of Child Stunting, Wasting, and Underweight: Evidence from 2017 to 2018 Pakistan Demographic and Health Survey," Journal of Nutrition and Metabolism, vol. 2023, Article ID 2845133, pp. 1-12, 2023.
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