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Journal : Tensor: Pure and Applied Mathematics Journal

Modelling Negative Binomial Regression to Resolve Overdispersion (Case Studi: The Number of Families at Risk of Stunting in Maluku Province in 2021) Salenussa, Rosalinda A.; Van Delsen, Marlon Stivo Noya; Haumahu, Gabriella
Tensor: Pure and Applied Mathematics Journal Vol 4 No 2 (2023): Tensor: Pure and Applied Mathematics Journal
Publisher : Department of Mathematics, Faculty of Mathematics and Natural Sciences, Pattimura University, Ambon, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/tensorvol4iss2pp63-72

Abstract

Stunting is a condition of stunted growth in children due to some chronic malnutrition and is a serious problem that affects the health and development of children around the world. Maluku Province is one of the regions in Indonesia that also experiences significant stunting problems. Statistical methods that can be used to see the relationship between response variables and predictor variables are Regression analysis, one of which is Poisson regression. However, Poisson regression is not often able to meet the equidispersion assumption, so to overcome this problem, another alternative method is used, namely Negative Binomial regression. The research conducted was to produce the best Negative Binomial Regression model and identify factors that significantly affect stunting families in Maluku Province. This study produced the best Negative Binomial model, namely: with the smallest AIC value of 208.5 and able to correct overdispersion in the data. A significant influential factor in the Negative Binomial model is the age of the wife who is too old ( ) with a significance level of 5%.
The Modeling of Factors that Influence the Number of Death Cases of Infant and Toddler in Maluku Province using the Bivariate Poisson Regression Method Haumahu, Gabriella; Djamalullail, Syarifah Fitria Amalia; Noya Van Delsen, Marlon Stivo
Tensor: Pure and Applied Mathematics Journal Vol 5 No 1 (2024): Tensor: Pure and Applied Mathematics Journal
Publisher : Department of Mathematics, Faculty of Mathematics and Natural Sciences, Pattimura University, Ambon, Indonesia

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30598/tensorvol5iss1pp17-26

Abstract

The number of cases of infant mortality and under-five mortality have a significant relationship. Although there are differences in age categories, it can be a measure of quality of life early in life. In this study, a bivariate Poisson regression analysis method is used which uses a pair of count data with Poisson distribution. The number of infant deaths and the number of under-five deaths are the dependent variables, while the percentage of poor people , the percentage of married women under 19 years old , the percentage of low birth weight babies , and the percentage of exclusively breastfed babies are the independent variables. Based on the results of the modeling analysis, model 2 of the bivariate Poisson regression proved to be the best model with the lowest AIC value of 123,8951. The results of the analysis at show that variable has an influence on infant mortality cases, shows that variable has a significant effect on under-five mortality cases and at shows that variable has a significant effect simultaneously on infant and under-five mortality cases in Maluku Province in 2022