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All Journal JURNAL ILMIAH MATEMATIKA DAN TERAPAN Indonesian Journal of Applied Statistics Jambura Journal of Mathematics Leibniz: Jurnal Matematika International Journal of Quantitative Research and Modeling Jurnal Penelitian Inovatif Buletin Sistem Informasi dan Teknologi Islam NEAR: Jurnal Pengabdian kepada Masyarakat Journal of Mathematics, Computation and Statistics (JMATHCOS)
Morina A. Fathan
Program Studi Statistika, Univeristas Tadulako, Palu, Indonesia
Agriculture, Biological Sciences & Forestry Humanities Chemistry Computer Science & IT Decision Sciences, Operations Research & Management Earth & Planetary Sciences Economics, Econometrics & Finance Education Engineering Environmental Science Health Professions Languange, Linguistic, Communication & Media Library & Information Science Mathematics Nursing Physics Public Health Social Sciences Transportation Other

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Simulation Study of Survival Analysis Methods Using C-index and IBS-IPCW: Application to Exclusive Breastfeeding Cessation Sitti Nurhaliza; Morina A. Fathan; Muhammad Edy Rizal; Khairunnisaaa Khairunnisaaa; Rifat Muyassar; Dwi Indri Nur Anisa
Journal of Mathematics, Computations and Statistics Vol. 9 No. 3 (2026): Volume 09 Issue 03 (September 2026)
Publisher : Jurusan Matematika FMIPA UNM

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35580/bh7q9p42

Abstract

Right-censored data remain a persistent challenge in survival analysis, particularly in exclusive breastfeeding studies, where premature cessation is common, yet appropriate predictive models are rarely validated, risking biased estimates that misinform interventions. This study compares three survival analysis models, namely Weibull Accelerated Failure Time (AFT), Cox Proportional Hazards (CPH), and Random Survival Forest (RSF), in addressing right-censored data. Performance was evaluated through simulations varying sample sizes, censoring proportions, and hazard function shapes, using the Concordance Index (C-index) and Integrated Brier Score (IBS) with Inverse Probability of Censoring Weighting (IPCW). The simulation results showed that all three models achieved good discriminative performance, with median C-index values above 0.65 across scenarios. The Weibull AFT model performed best when the simulated data conformed to its underlying distribution. Both the CPH and Weibull AFT models consistently outperformed the RSF model, particularly under scenarios characterised by constant or decreasing hazard functions. Analysis of variance (ANOVA) confirmed that model type, sample size, and censoring proportion significantly influenced model performance. The Weibull AFT model was subsequently applied to real-world data on the cessation of exclusive breastfeeding in Donggala Regency. The findings indicated that psychosocial factors, including resilience, self-efficacy, and spousal support, served as protective factors that prolonged the duration of exclusive breastfeeding. In contrast, maternal fatigue and certain childbirth conditions were associated with an increased risk of early breastfeeding cessation. Sociodemographic variables, including age, educational attainment, and employment status, were not statistically significant predictors of breastfeeding cessation.
Co-Authors Alimatun Najiha Alimatun Najiha Allisa Alavi Amanatullah Pandu Zenklinov Andi Harismahyanti A. Asfar Asfar Asfar Azwarini, Rahmania Dwi Indri Nur Anisa Erlyne Nadhilah Widyaningrum Fikri Chaikal Guslov Claudio Basompe Husna Afanyn Khoirunissa Husna Afanyn Khoirunnisa Jamidun Jamidun Khairunnisaaa Khairunnisaaa Muh. Zarkawi Yahya Muhammad Edy Rizal Muhammad Edy Rizal Nabilla Rida Tri Nisa Nindya Wulandari Nisa, Nabilla Rida Tri Nur Rezky Safitriani Nur Rezky Safitriani Nur Rezky Safitriani Nurul Fiskia Gamayanti Rifat Muyassar Rizka Amalia Putri Safitriani, Nur Rezky Sitti Nurhaliza Sitti Nurhaliza Sitti Nurhaliza Widiantoro, Tri Yahya, Muh. Zarkawi Yahya, Muhammad Zarkawi