Spatial Autoregressive Model of Tuberculosis Cases in Central Java Province 2019
Tuberculosis is an infectious disease caused by infection with the bacterium Mycobacterium tuberculosis. Central Java is one of the three provinces with the highest tuberculosis cases in Indonesia. Some of the risk factors used in this research are the spatial lag of the number of tuberculosis cases...
| Main Authors: | , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Mathematics Department UIN Maulana Malik Ibrahim Malang
2022-03-01
|
| Series: | Cauchy: Jurnal Matematika Murni dan Aplikasi |
| Subjects: | |
| Online Access: | https://ejournal.uin-malang.ac.id/index.php/Math/article/view/13451 |
| _version_ | 1811249759794495488 |
|---|---|
| author | Hasrat Ifolala Zebua I Gede Nyoman Mindra Jaya |
| author_facet | Hasrat Ifolala Zebua I Gede Nyoman Mindra Jaya |
| author_sort | Hasrat Ifolala Zebua |
| collection | DOAJ |
| description | Tuberculosis is an infectious disease caused by infection with the bacterium Mycobacterium tuberculosis. Central Java is one of the three provinces with the highest tuberculosis cases in Indonesia. Some of the risk factors used in this research are the spatial lag of the number of tuberculosis cases representing the agent component, the morbidity rate representing the host component, population density, proper sanitation, and proper drinking water which represent environmental components. This study uses the Spatial Autoregressive (SAR) model. The SAR model is a regression model where the response variable has a spatial correlation. The estimation method usually used in SAR model is maximum likelihood. The value of Moran's I on the number of tuberculosis cases in Central Java is 0.499 and is significant, which means that there is a positive spatial autocorrelation. The model was chosen based on the LM test and AIC. The best model is the SAR model. The results of the analysis obtained show that the greater the number of tuberculosis cases is influenced by the number of tuberculosis cases in the surrounding area. Proper sanitation has a negative effect, on the contrary, the dense population has a positive effect on the number of tuberculosis cases in the province of Central Java. |
| first_indexed | 2024-04-12T15:52:13Z |
| format | Article |
| id | doaj.art-cd42a907cc0b470e8f91edac9b012ab1 |
| institution | Directory Open Access Journal |
| issn | 2086-0382 2477-3344 |
| language | English |
| last_indexed | 2024-04-12T15:52:13Z |
| publishDate | 2022-03-01 |
| publisher | Mathematics Department UIN Maulana Malik Ibrahim Malang |
| record_format | Article |
| series | Cauchy: Jurnal Matematika Murni dan Aplikasi |
| spelling | doaj.art-cd42a907cc0b470e8f91edac9b012ab12022-12-22T03:26:28ZengMathematics Department UIN Maulana Malik Ibrahim MalangCauchy: Jurnal Matematika Murni dan Aplikasi2086-03822477-33442022-03-017224024810.18860/ca.v7i2.134516150Spatial Autoregressive Model of Tuberculosis Cases in Central Java Province 2019Hasrat Ifolala Zebua0I Gede Nyoman Mindra Jaya1Universitas PadjadjaranUniversitas PadjadjaranTuberculosis is an infectious disease caused by infection with the bacterium Mycobacterium tuberculosis. Central Java is one of the three provinces with the highest tuberculosis cases in Indonesia. Some of the risk factors used in this research are the spatial lag of the number of tuberculosis cases representing the agent component, the morbidity rate representing the host component, population density, proper sanitation, and proper drinking water which represent environmental components. This study uses the Spatial Autoregressive (SAR) model. The SAR model is a regression model where the response variable has a spatial correlation. The estimation method usually used in SAR model is maximum likelihood. The value of Moran's I on the number of tuberculosis cases in Central Java is 0.499 and is significant, which means that there is a positive spatial autocorrelation. The model was chosen based on the LM test and AIC. The best model is the SAR model. The results of the analysis obtained show that the greater the number of tuberculosis cases is influenced by the number of tuberculosis cases in the surrounding area. Proper sanitation has a negative effect, on the contrary, the dense population has a positive effect on the number of tuberculosis cases in the province of Central Java.https://ejournal.uin-malang.ac.id/index.php/Math/article/view/13451maximum likelihoodsarspatialtuberculosis |
| spellingShingle | Hasrat Ifolala Zebua I Gede Nyoman Mindra Jaya Spatial Autoregressive Model of Tuberculosis Cases in Central Java Province 2019 Cauchy: Jurnal Matematika Murni dan Aplikasi maximum likelihood sar spatial tuberculosis |
| title | Spatial Autoregressive Model of Tuberculosis Cases in Central Java Province 2019 |
| title_full | Spatial Autoregressive Model of Tuberculosis Cases in Central Java Province 2019 |
| title_fullStr | Spatial Autoregressive Model of Tuberculosis Cases in Central Java Province 2019 |
| title_full_unstemmed | Spatial Autoregressive Model of Tuberculosis Cases in Central Java Province 2019 |
| title_short | Spatial Autoregressive Model of Tuberculosis Cases in Central Java Province 2019 |
| title_sort | spatial autoregressive model of tuberculosis cases in central java province 2019 |
| topic | maximum likelihood sar spatial tuberculosis |
| url | https://ejournal.uin-malang.ac.id/index.php/Math/article/view/13451 |
| work_keys_str_mv | AT hasratifolalazebua spatialautoregressivemodeloftuberculosiscasesincentraljavaprovince2019 AT igedenyomanmindrajaya spatialautoregressivemodeloftuberculosiscasesincentraljavaprovince2019 |