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Title: | Estimation of Small Area Statistics using Beta-Binomial Model Pendugaan Statistik Area Kecil dengan Menggunakan Model Beta-Binomial |
Authors: | Wijayanto, Hari Rahman, La Ode Abdul Abadi, Slamet |
Keywords: | Bayes empirical Beta-Binomial Kleinman Jackknife Bootstrap |
Issue Date: | 2011 |
Abstract: | Small area estimation is commonly used to describe smaller domain or population. Small Area Estimation is an important technique to estimate parameter of smaller domain borrowing strength of population parameter estimate through statistics models with random effect. This research is focused in modeling binary data in small area estimation with empirical bayes method. This method is applicable more generally in the sense of handling models for binary and count data. The Beta-binomial model can be used to calculate the proportion of each small area and its variance. This model estimates the parameters of proportion using momen Kleinman method of Beta-Binomial model and the we also compare the MSE of indirect estimation using Naïve, Jackknife, and Bootstap methods. The result shaved that the MSE of indirect estimation lower than the direct estimation. Moreover, the MSE of indirect estimation using Naïve, Jackknife, and Bootstap methods relatively the same. This indirect estimation using Beta-Binomial model were applied to analyze the proportion of poor household in Bekasi district. The result showed that Jakasampurna, Ciketingudik, Bintara Jaya, Jatiluhur, Cikiwul, Mustika Jaya, and Perwira and could be categorized as villages having more poor household. Suatu pendugaan untuk meningkatkan ukuran contoh dan menurunkan galat baku adalah pendugaan tak langsung. Pendugaan ini memanfaatkan informasi tambahan yang diperoleh dari area kecil lain yang memiliki karakteristik yang serupa. Menurut Rao (2003) prosedur pendugaan area kecil pada dasarnya memanfaatkan informasi dari area itu sendiri, area sekitarnya atau bahkan survei yang berbeda. Pendugaan area kecil bermanfaat untuk menduga parameter area yang berukuran contoh kecil. Pada data biner, model Beta-Binomial dapat digunakan untuk menduga parameter area kecil. Ada dua metode dalam pendugaan area kecil untuk data biner, yaitu metode Bayes empirik dan Bayes hirarki. Penelitian ini menggunakan metode Bayes empirik yang mampu menampung informasi antar area dan mereduksi kuadrat tengah galat. |
URI: | http://repository.ipb.ac.id/handle/123456789/52186 |
Appears in Collections: | MT - Mathematics and Natural Science |
Files in This Item:
File | Description | Size | Format | |
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2011sab.pdf Restricted Access | Full Text | 2.56 MB | Adobe PDF | View/Open |
Abstract.pdf Restricted Access | Abstrak | 307.37 kB | Adobe PDF | View/Open |
BAB I Pendahuluan.pdf Restricted Access | Bab I | 312.62 kB | Adobe PDF | View/Open |
BAB II Tinjauan Pustaka.pdf Restricted Access | Bab II | 370.24 kB | Adobe PDF | View/Open |
BAB III Metodologi Penelitian.pdf Restricted Access | Bab III | 360.42 kB | Adobe PDF | View/Open |
BAB IV Hasil dan Pembahasan.pdf Restricted Access | Bab IV | 1.58 MB | Adobe PDF | View/Open |
BAB V Kesimpulan dan Saran.pdf Restricted Access | Bab V | 307.18 kB | Adobe PDF | View/Open |
Cover.pdf Restricted Access | Cover | 331.34 kB | Adobe PDF | View/Open |
Daftar Pustaka.pdf Restricted Access | Daftar Pustaka | 323.72 kB | Adobe PDF | View/Open |
Lampiran.pdf Restricted Access | Lampiran | 856.74 kB | Adobe PDF | View/Open |
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