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Journal : E-Jurnal Matematika

PERFORMA PROPORSI ZERO-INFLATION PADA REGRESI ZERO-INFLATED NEGATIVE BINOMIAL (STUDI KASUS: DATA TETANUS NEONATORUM DI JAWA TIMUR) LUTHFATUL AMALIANA; UMU SA’ADAH; NI WAYAN SURYA WARDHANI
E-Jurnal Matematika Vol 7 No 1 (2018)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/MTK.2018.v07.i01.p183

Abstract

Tetanus Neonatorum (TN) is an infectious disease that could be prevented by immunization. East Java Province is the highest numbers of TN case in Indonesia. TN data in East Java contain overdispersion and big proportion of zero-inflation (71,05%). The data containing overdispersion and zero-inflation are more appropriately analyzed by using Zero-Inflated Negative Binomial (ZINB) regression. The aim of this study are: (1) to know the perform of proportion of zero-inflation for ZINB model and (2) to obtain the optimal proportion of zero-inflation for TN data. The result of this study indicates that the optimal proportion of ZINB model is 64,52%.
EBLUP-SMALL AREA ESTIMATION METHOD FOR PER CAPITA EXPENDITURES IN BALI LUTHFATUL AMALIANA; MADE LARAS SETYANA DEWI
E-Jurnal Matematika Vol 11 No 1 (2022)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/MTK.2022.v11.i01.p361

Abstract

Small Area Estimation (SAE) is a statistical technique for estimating the parameters of a sub-population with a small sample size. SAE aims to improve the accuracy of parameter estimation, with indirect estimation. This study aims to determine the best method between empirical best linear unbiased prediction (EBLUP) and spatial EBLUP methods (with a queen contiguity weighted matrix) in estimating per capita expenditure per sub-district in Bali. The results of this study indicate that the best SAE method in estimating per capita expenditure per sub-district in Bali is the EBLUP method with the smaller mean squared error. The EBLUP estimation results are significantly influenced by three variables, namely the population, public primary schools, and families using PLN. The sub-district with the highest per capita expenditure in Bali is Denpasar Selatan sub-district. Meanwhile, the sub-district with the lowest per capita expenditure was Abang sub-district. Since the EBLUP model is better than SEBLUP model, this indicates that per capita expenditure per sub-district in Bali is not influenced by its neighbors.