## 3 Results  
This section shows the fit of the GWMPIGR model on the number of infant, under-5 and maternal deaths in East Java in 2019. The data were sourced from the Public Health Office and Statistics Indonesia. The Health Office of Indonesia provides data on health indicators from the provincial and district/city levels, and these data are published regularly every year. Meanwhile, Statistics Indonesia provides data for all indicators (including health), and these data are published annually. District/city level data are provided by the Public Health Office and Statistics Indonesia for every province in Indonesia. In this study, the data consisted of 38 districts/cities in the province of East Java Province, and there were three response variables: the number of infant deaths (\(Y_{1}\)), the number of under-5 deaths (\(Y_{2}\)) and the number of maternal deaths (\(Y_{3}\)); five predictor variables: the percentage of active integrated service post (\(X_{1}\)), the percentage of active family planning participants (\(X_{2}\)), the percentage of the population with BPJS health insurance (\(X_{3}\)), education index (\(X_{4}\)) and the percentage of household that has improved sanitation (\(X_{5}\)); and three exposure variables sourced from the Public Health Office and Statistics Indonesia. Four models will be used based on the exposure and the spatial weighting function, as presented in Table 1.  
The first two GWMPIGR models only had one exposure variable, the number of live births, which was used by considering the definitions of the mortality rate for each individual group. Meanwhile, the third and fourth models use three exposure variables by considering the number of people who are at risk in each individual group. The best of the four models will be selected based on the AICc value. Then, the factors affecting the number of infant, under-5 and maternal deaths in East Java in 2019 are discussed based on the best model. Figures 1-3 are thematic maps that provide descriptions of the response variables. The number of deaths in each population is divided into four levels from the lowest to the highest number of deaths in the district/city. Figures 1 and 3 show that most of the districts/cities in East Java have a high number of infant and maternal deaths. Meanwhile, Figure 2 shows that the Probolinggo District and Surabaya City have the highest number of under-5 deaths. Furthermore, the summary statistics of the predictor variables and exposure variables can be seen in Table 2. \begin{table}
\begin{tabular}{c c c c} \hline \hline
**Model** & **Number of Exposure** & **Exposure** & **Spatial Weighting Function** \\ \hline
1 & & & Gaussian Kernel fixed function \\ \hline
2 & 1 & \(q\): The number of live births & Bisquare Kernel fixed function \\ \hline
3 & & \(q_{1}\): The number of live births & Gaussian Kernel fixed function \\ \hline
4 & 3 & \(q_{2}\): The number of people aged 1-4 years old & Bisquare Kernel fixed function \\ \hline \hline \end{tabular}
\end{table} 
Table 1: Model Specifications. Figure 1: Distribution of the number of infant deaths in East Java in 2019. According to Table 2, the mean of the active integrated service post in East Java in 2019 was 80.95%, with a minimum percentage of 31%. Furthermore, the mean of active family planning participants is 75.4%, with a minimum percentage of 67.03%. This means around 33% of people do not participate in family planning. The mean of the population with BFJS health insurance is 50.47%, which means that the other half of population uses other types of health insurances. The mean of the education index is 0.628. The education index is calculated based on the expected years of schooling and the mean years of schooling.