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Journal : Journal of Applied Data Sciences

On the Use of Zero-Inflated Mixed Models for Count Data: A Simulation and Empirical Evidence Kurnia, Anang; Fakhriyah, Zafira; Sadik, Kusman; Handayani, Dian
Journal of Applied Data Sciences Vol 7, No 2: May 2026
Publisher : Bright Publisher

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.47738/jads.v7i2.1303

Abstract

This paper evaluates the performance of classical count regression models (Poisson, Negative Binomial, Generalized Poisson), zero-inflated models (Zero-Inflated Poisson/ZIP, Zero-Inflated Negative Binomial/ZINB, Zero-Inflated Generalized Poisson/ZIGP), and zero-inflated mixed models (ZIPMM, ZINBMM, ZIGPMM) for over-dispersed count data, particularly due to excess zeros and unobserved heterogeneity. Using simulation and empirical studies, we evaluated the performance of the models based on their predictive capability and their ability to yield valid inferences through hypothesis testing. The simulation, replicated 1000 times, involves 27 scenarios that combine various sample sizes, proportions of zero counts, and response variable distributions. Our findings indicate that ZIGPMM and ZINBMM provide the smallest root mean square error (RMSE) values. Although the Poisson model yields a relatively small RMSE, it does not adequately account for overdispersion, leading to underestimated standard errors and potentially misleading significance tests. The negative binomial model yields dispersion estimates closest to 1, indicating good performance, whereas ZIGP, ZINB, ZIGPMM, and ZINBMM perform better when zero counts are extremely high. Empirical analysis of data on under-five mortality due to pneumonia in Java Island, Indonesia, indicates that ZINB, ZINBMM, and ZIGPMM have the smallest Akaike Information Criterion (AIC), making them the most suitable models. These models show that exclusive breastfeeding and vitamin A have no significant effect on under-five child mortality due to pneumonia, while severe malnutrition has a statistically significant impact (α=0.05).
Co-Authors . Yanwirasti : Samwilson Slamet, : Samwilson Abellia, Gaby Abral, Hairul Achmad Rudijanto Adelya Desi Kurniawati Afra, Wafiqah Agung Giri Samudra Agustine, Retha Akmal Akmal Akmal Djamaan Al-Rasyid, Harun Alawiya Simanullang, Khairatul Amalialjinan, Nadia Amanda Gusti Fatika Amanda, Savira Intan Amri Bakhtiar Anang Kurnia Andi Muhammad Ali Amiruddin Andina Devi Arvita Andriyani, Fitri Anggun Faradhita Anggun Rindang Cempaka Anggun, Faradita Anindyanti, Risma Debby Anis Mahmudah, Anis Aniza, Mifta Violina Apriani, Yosi Apriyurita, Apriyurita Ariksa, Jeri Arintya, Diandra Arizta Primadiyanti Armetristi, Fannisa Arwin Surbakti Asdim Asti Melani Astari Aulani’ Am Ayuningtyas Dian Ariestiningsih Ayut Merdikawati, Ayut Bambang Prijadi Basir Bhisma Murti Cahyaningrum, Aladhiana Calista, Rizky Ayu Diella Catur Saptaning Wilujeng Cempak, Anggun Rindang Cynthia Herdiana Safitri Dachriyanus Damaiyana, Tahnia Damayanti Damayanti Debie Rizqoh Delia Komala Sari, Delia Komala Denty Safitri Desi Holifatus Suaida Desi Wulandari, Desi Dewi Santosaningsih Dewi, Diva Regita Dewi, Novita Rahma Dhony, Ervia Fahma Dianika, Bani Dienillah, Syifa Sarah Djamaludin, Heder Djoko W. Soeadmadji Djoko Wahono Dominica, Dwi Dwi Kurnia Putri Dwi, Dominica Eddiwan Kamaruddin Edo Galasro Limbong Ekawati, Laily Elena, Felicitas Elia, Elia Ellen Ernesta B. Sappu Ellyza Nasrul Elsya Agustina Endang S. Rahayu Eni Kurniati, Eni Eni Widiyati Ernawati Eti Poncorini Pamungkasari Etik Sulistyowati Etriyanto Arman Evelyne Riandini Evi Maryanti Fadriyanti, Okmes Fajar Ari Nugroho Fakhriyah, Zafira Fathiyyah Afifah Fajarriani Fatmal, Abd. Bashir FC Ndaru Ranuhandoko Fenti Mariska Yohana Feranitha Fernando Fernando, Fernando Fifiet Dwi Tresna Santana, Fifiet Dwi Tresna Fitria Iswari Fitria Rahmi Frinny Sembiring Galuh, Glaveria Gatya, Mifta Hafidzah, Kurnia Hanifa Setiyawan, Hanifa Harianti Putri, Yona Hartika, Andi Hartika, Andi Yuniarsy Hayati, Risda Hidayanti, Alfiani Hidayat Sujuti Holipah Holipah Idroes, Ghifari Maulana Iis Purnengsih Ikhsan Ikhsan Ilhamdi, Ilhamdi Inggita Kusumastuty Iva Tsalissavrina Jihan, Salsabila Jonny K. Fajar Juniarti, Silvia Kadriadi, Kadriadi Kameela, Ishmah Azzah Kamil, Adine Ihsan Kamilla Putri, Dwi Kanthi Permaningtyas Tritisari, Kanthi Permaningtyas Kassim, Mohamad Haafiz Mohamad Khodijah, Petri Siti Kobun, Maria Komala Sari, Delia Krisnawati, Hesthi Krisyanella Krisyanella Kumala, Wulan Okta Kuncoro, Safiratuz Zahra ‘Aisy Kurnia, Hafidzah Kurniawati, Noval Kusman Sadik Kuswandari, Luh Shanti La Ode Ismail Ahmad, La Ode Ismail Ladayya, Faroh Lathifa Olivia Adeshi Leny Budhi Harti Lestari, Dian Fita Lestari, Feny M Asmadi M. Aris Widodo Madani, Zikri Muhammad Mahardika, Melbi Mahyudin Mahyudin Malahayati, Huzaifah Mariyatun Mariyatun, Mariyatun Martha Sririta Martha Tisna Ginanjar Putri Maulia, Putri Hersya Maulina, Tya Chalifatul Meganingtyas, Devi Eka Wardani Meki Pranata Mery Sukmiwati Mieke Hemiawati Satari Muh Ade Artasasta MUHAMMAD ALI Muhammad Iqbal, Roihans Mukhtar, M. 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