Detecting Age Prone to Growth Retardation in Children Through a Bi Response Nonparametric Regression Model with a Penalized Spline Estimator

Anna Islamiyati, Anisa Kalondeng, Muhammad Zakir, Sultan Djibe, Ummi Sari

Abstract


Background: The growth of children aged 0–60 months can impact their subsequent growth and development. This study aims to identify the vulnerable age for boys and girls, who experience growth retardation within this age range.

 Methods: The study design used was a cross‑sectional approach in which each child’s measurement data was only taken once. The data were obtained from weighing results at the Health Integrated Service Post in South Sulawesi Province in 2022. The number of data analyzed was 698 children, namely 369 boys and 329 girls by considering the factors of age, weight, and height. We used a nonparametric bi‑response regression model estimated using a penalized spline. The knots used are 12, 24, 36, and 48 on each model.

Results: The value of the penalized spline regression coefficient in the model indicates that the child’s growth is slowed down and is not within normal limits. This can be seen in the weight and height of boys from the age of reaching 12 months to 24 months, only increasing by about 0.3 kg and 0.3 cm. For girls, the problem occurs from the age of 24 to 36 months, namely their weight increases by about 0.6 kg, and their height increases by about 1 cm.

Conclusions: The analysis results show that boys’ growth slows down at 2 years of age and continues until 5 years of age. In the case of girls, their growth begins to slow when they are 3 years old until they reach 5 years old.



Keywords


Growth retardation, height, regression, weight

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References


Chamidah N, Saifudin T. Designing local standard growth charts of children in East Java province using a local linear estimator. Int J Innov Create Change 2020;13:45–67.

Pulungan AB, Julia M, Barubara JR, Hermanussen M. Indonesian national synthetic growth charts. Acta Sci Paediatr 2018;1:1–15.

Moro C, Covino J. Nutrition and growth: Assessing the impact of regional nutritional intake on childhood development and metacarpal parameters. Anat Cell Biol 2018;51:31–40.

Poulain T, Vogel M, Sobek C, Hilbert A, Körner A, Kiess W. Associations between socio economic status and child health: Findings of a large German cohort study. Int J Environ Res Public Health 2019;16:1–12.

Atashbahar O, Sari AA, Takian A, Olyaeemanesh A, Mohamadi E, Barakati SH. The impact of social determinants of health on early childhood development: A qualitative context analysis in Iran. BMC Public Health 2022;22:1–13.

Thurstans S, Opondo C, Seal A, Wells J, Khara T, Dolan C, et al. Boys are more likely to be undernourished than girls: A systematic review and meta analysis of sex differences in undernutrition. BMJ Glob Health 2020;5:1–17.

Hidayat R, Budiantara IN, Otok BW, Ratnasari V. The regression curve estimation by using mixed smoothing spline and kernel (MsS K) modeltle. Commun Stat-Theor M 2021;50:3942– 53.

Islamiyati A, Fatmawati, Chamidah N. Changes in blood glucose 2 hours after meals in type 2 diabetes patients based on length of treatment at Hasanuddin University Hospital, Indonesia. Rawal Med J 2020;45:31–4.

Islamiyati A, Raupong, Kalondeng A, Sari U. Estimating the confidence interval of the regression coefficient of the blood sugar model through a multivariable linear spline with known variance. Stat Transit 2022;23:201–12.

Lestari B, Fatmawati, Budiantara IN, Chamidah N. Smoothing parameter selection method for multiresponse nonparametric regression model using smoothing spline and Kernel estimators approaches. J Phys Conf Ser 2019;1397:1-8.

Mariati NPAM, Budiantara IN, Ratnasari V. The application of mixed smoothing spline and fourier series model in nonparametric regression. Symmetry (Basel) 2021;13:1-22.

Islamiyati A. Spline longitudinal multi response model for the detection of lifestyle based changes in blood glucose of diabetic patients. Curr Diabetes Rev 2022;18:98–104.

Islamiyati A, Sunusi N, Kalondeng A, Fatmawati F, Chamidah N. Use of two smoothing parameters in penalized spline estimator for bi variate predictor non parametric regression model. J Sci Islam Repub Iran 2020;31:175–83.

Islamiyati A, Kalondeng A, Sunusi N, Zakir M, Amir AK. Biresponse nonparametric regression model in principal component analysis with truncated spline estimator. J King Saud Univ Sci 2022;34:1–9.

Islamiyati A, Fatmawati, Chamidah N. Estimation of covariance matrix on bi response longitudinal data analysis with penalized spline regression. J Phys Conf Ser 2018;979:1–7.

Islamiyati A, Fatmawati, Chamidah N. Penalized spline estimator with multi smoothing parameters in bi response multi predictor nonparametric regression model for longitudinal data. Songklanakarin J Sci Technol 2020;42:897–909.

Costa JC, Blumenberg C, Victora C. Growth patterns by sex and age among under 5 children from 87 low income and middle income countries. BMJ Glob Health 2021;6:1–10.

Chamidah N, Lestari B, Massaid A, Saifudin T. Estimating mean arterial pressure affected by stress scores using spline nonparametric regression model approach. Commun Math Biol Neurosci 2020;2020:1–12.

Gharpure R, Mor SM, Viney M, Hodobo T, Lello J, Siwila J, et al. A one health approach to child stunting: Evidence and research agenda. Am J Trop Med Hyg 2021;104:1620-4.

Samuel A, Osendarp SJM, Feskens EJM, Lelisa A, Adish A, Kebede A, et al. Gender differences in nutritional status and determinants among infants (6–11 m): A cross sectional study in two regions in Ethiopia. BMC Public Health 2022;22:1–12.

Laksono AD, Wulandari RD, Amaliah N, Wisnuwardani RW. Stunting among children under two years in Indonesia: Does maternal education matter? PLoS One 2022;17:1–11.

Nembidzane C, Lesaoana M, Monyeki KD, Boateng A, Makgae PJ. Using the sitar method to estimate age at peak height velocity of children in rural south africa: Ellisras longitudinal study. Children (Basel) 2020;7:1-9.

Thurstans S, Opondo C, Seal A, Wells JC, Khara T, Dolan C, et al. Understanding sex differences in childhood undernutrition: A narrative review. Nutrients 2022;14:1–15.


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