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Estimation of Stunting and Wasting Prevalence in Southern Part of Sumatra Using Nadaraya-Watson Kernel and Penalized Spline Oktarina, Cinta Rizki; Nugroho, Sigit; Sriliana, Idhia
JTAM (Jurnal Teori dan Aplikasi Matematika) Vol 10, No 2 (2026): April
Publisher : Universitas Muhammadiyah Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31764/jtam.v10i2.36177

Abstract

This study aims to estimate the prevalence of stunting and wasting in the southern region of Sumatra using a bivariate nonparametric regression framework based on the Nadaraya-Watson Kernel and Penalized Spline estimators with Penalized Weighted Least Squares (PWLS). The analysis utilizes data from the 2023 Indonesian Toddler Nutrition Survey, comprising 60 regencies and cities across five provinces, namely Bengkulu, South Sumatra, Lampung, Jambi, and Bangka Belitung. By jointly modeling stunting and wasting as correlated response variables, this study seeks not only to compare methodological performance, but also to provide empirical insights into the nonlinear patterns underlying child nutritional outcomes influenced by maternal-child health and socioeconomic conditions. Model performance was evaluated using the Mean Squared Error (MSE), Root Mean Squared Error (RMSE), and the coefficient of determination (R²). The empirical results indicate that the Nadaraya-Watson Kernel estimator outperforms the Penalized Spline approach, yielding a substantially lower prediction error (MSE = 0.0008), high goodness-of-fit values (R² of 99.98% for stunting and 99.95% for wasting), and relatively small RMSE values of 0.038 and 0.017, respectively. These findings suggest that the kernel-based estimator provides stable and accurate predictions within the data structure considered, particularly in capturing complex nonlinear relationships between predictors and nutritional outcomes. Furthermore, the results reveal that the effects of health-related and socioeconomic factors vary across different prevalence levels, underscoring the importance of nonparametric methods in accommodating heterogeneous and nonlinear response patterns. In line with previous evidence emphasizing integrated, multisectoral approaches to child nutrition improvement, the findings highlight the relevance of combining health interventions with broader social protection strategies. Nevertheless, the interpretation of results is subject to methodological caution, given the limited sample size and the aggregated nature of the data. Overall, this study demonstrates the potential of bivariate nonparametric regression as a complementary analytical tool for health data analysis and evidence-based policy formulation related to stunting and wasting reduction.
Peran Humas Pemerintah LLDikti Wilayah III dalam Menjaga Citra Lembaga di Era Digital Nugroho, Sigit
Jurnal Pustaka Komunikasi Vol 9, No 1 (2026): (In press)
Publisher : Universitas Prof. Dr. Moestopo (Beragama)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.32509/pustakom.v9i1.6540

Abstract

This study aims to analyze the public relations strategies implemented by LLDikti Region III in maintaining institutional image in the digital era. The rapid flow of information and the increasing demand for public transparency require government public relations to adapt their communication strategies in the digital environment. This research applies the P.E.N.C.I.L.S framework (Publication, Event, News, Community Involvement, Identity Media, Lobbying, and Social Responsibility) as an analytical approach to examine the implementation of public relations activities within the institution. The study employs a qualitative descriptive method within a post-positivist paradigm. Data were collected through in-depth interviews, observation, and document analysis involving key informants from the public relations division of LLDikti Region III. The results show that the integrated implementation of the P.E.N.C.I.L.S elements strengthens institutional credibility, improves stakeholder engagement, and supports the sustainability of institutional reputation in the digital public sphere. The study concludes that adaptive public relations strategies based on integrated communication management are essential in maintaining the positive image of public institutions in the digital era.
Co-Authors Abda Abda Abiyyu Amajida Achmad Binadja Achmad Djunaedi Adesi, Putri Adi Indrayanto Adriani, Desi Agi Ginanjar Agung Juliarto Agung Tri Prasetya Agwil, Winalia Ahmad Nasrulloh Ahmad, Arimuliani Alvionita, Renny Alwansyah, Muhammad Arib Andri Yanto Ari Agung Nugroho, Ari Agung Arief, Yanwar Arief, Yanwar Aristya, Irma Sendy Arono Arono Asmawati, Puji Asri, Novri Azhar Abdul Rahman, Azhar Abdul Bahri, Syuhada Bayubuana, Muhammad Gabdika Bayubuana Betarina , Nurmalia Buyung Keraman Cerika Rismayanthi Cinta Rizki Oktarina Ciptadi, Zaniar Dwi Prihatin Crisdianto, Riki Danny Eka Wahyu Saputra Dewantara, Julian Doni Pranata Duwi Kurnianto Pambudi Dyah Pangesti, Riwi Edmizal, Eval Eka Swasta Budayati Eka Wahyudi, Andi Sultan Brilin Susandi Eken, Özgür Fachri Faisal Fadhlia, Tengku Nila Fadli Ihsan Fairuzindah, Athaya Fakhrurozi, Zaza Afnindar Fakhrurozi5, Zaza Afnindar Fatkurahman Arjuna Feriza, Firman Firdaus Firdaus Firmansyah, Didi Fitri, Sabina Fransiska, Welly Gumilar, Andri Tresna Haidar, Muhammad Daffa Hardiansyah Hardiansyah Haryanti, Wenny Herawati, Icha Herlin Fransiska Hermalia, Hermalia Hersiana, Sivi Hidayat, Bahril Hikmah, Faidatul Idhia Sriliana Iskandar, Doddy Aditya Istislami, Yosuja Jomecho, Tommy Jose Rizal Jose Rizal Judin Purwanto, Judin Julianti, Dola Juliati, Kurnia Jumrianti, Feni Juniarti, Aisa Karuna, Elisabeth Evelin Kurniawan, Fuji Kurniawan, Yohan Lala Septem Riza Lestari, Reza Lestari, Wina Ayu Leybina, Anna V Listyani, Nilla Lubis, Layla Takhfa Luthfiyah, Aisyah Enggel Mahira, Rina Manihuruk, FransFile Margono, Belinda Arunarwati Mariati, Dian Sri Marwan Masnur Ali Maulana, Rifqi Adrian Mohammad Chozin, Mohammad Mudin Simanihuruk Muhammad Salman Muliadi, Rahmad Mulyawan, Rizki Murgolo, Michael Mursalim, Rahmat Mutiara Pratiwi, Mutiara MUTMAINAH Nanang Wahyudin Napitupulu, Lisfarika Nasrullah, Ahmad Nasution, Silvia Fauziah Naury, Chairullah Neni Lismareni, Neni Novi Susanti Novitasari , Eka Fitri Nur Afandi Nur Fitriyana Nurul Hidayati Oki Candra, Oki Okka Adittio Putra Oktarina, Cinta Rizky Panganiban, Teejay D. Pantjarani, Ari Pepi Novianti Perdana, Satya Pongsiri, Tatpicha Praningrum Pratiwi, Stevy Cahya Pusparani, Annisa Marchelyn PUTRI WAHYUNI Putriasari, Novi Qorifah, Nasha Nuryati Rachmah Laksmi Ambardini Rahayu, Sundari Putri Ramya Rachmawati Razak, Ateerah Abdul Resi Vusvitasari Reza Pahlepi, Reza Rezha Arzhan Hidayat REZKI, REZKI Rifky Riyandi Prastyawan Riky Dwihandaka Rina Yuniana Rini, Dyah Setyo Rohani, Tri Rohmatiah, Ahadiati Salsabilla, Intan Sari, Meyritha Trifina Sarumpaet, Mey Yanti Sebastian, Leonard Seger Handoyo Shahadan, MD Azman Sihombing, Esther Damayanti Singh, Laishram Thambal Siregar, Nofi Marlina Sitohang, Yosep O Slamet Widodo Solly Aryza Sri Wahyuni SRI WARDANI Stojanović, Stefan Sujadmi, Sujadmi Sulistiyono Sulistiyono Sumarjo, Sumarjo Sumaryanti Sumaryanti Sumaryanti Sumaryanto Sumaryanto, Sumaryanto Sunandi, Etis Sunaryo Sunaryo Suparyono, Sita Wardhani Suryadi Suryadi Susi Wijuniamurti Swita, Baki Syahada, Sri Syahrul Akbar Talib, Kamal bin Tri Hadi Karyono Umi Kalsum Vira Dila, Sondang Wali, Carles Nyoman Wang, Ziyu Wati, Dewi Rohma Wawan Sundawan Suherman Wenni Anggita, Wenni Widiantoro, Didik Widiyatno Widodo, Fanani Haryo Widodo Widodo, Haryo Wijuniamurti, Susi Wiwin Hendriani Yanuar Rachman Sadewa Yassin, Abdulnassir Yoga Pratama Yudik Prasetyo YULIANA RAHMAWATI, YULIANA Yulianti, Ana