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Journal : EIGEN MATHEMATICS JOURNAL

Small Area Estimation dengan Metode Hierarchical Bayes pada Proporsi Destinasi Objek Wisata Halal Kabupaten Lombok Barat Husnul Arini; Desy Komalasari; Nurul Fitriyani
Eigen Mathematics Journal In Press Desember 2018
Publisher : University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (331.867 KB) | DOI: 10.29303/emj.v2i2.19

Abstract

Research using Hierarchical Bayes (HB) applied to Small Area Estimation (SAE) was conducted with the aim to estimate the proportion of halal tourism destination in West Lombok Regency. The development of halal taourism object in West Lombok that has been done by the Departement of Culture and Tourism, has not been fully able to do direct estimation on a small area, such as at the sub-district level. One way of obtaining estimation data up to the sub-district level is by increasing the sample size. However, increasing the sample size will cost time and money. Therefore, SAE method can be used to solve the poblem of data optimization. Furthermore, the HB method is used in the process of finding the expected alleged value. The prediction process was performed using Markov Chain Monte Carlo (MCMC) by applying the conditional Gibbs Algorithm of Metropolis-Hasting. Indirect modeling using HB method on SAE is based on the Fay-Herriot model for the area level with the help of supporting variables. The estimation results were then compared with the direct estimates with the value of the variance statistic as a benchmark. The results showed that the estimation using HB gave in a smaller average of variance value score of 0.021, compared with direct estimates with an average of variance value of 0.042. This showed that indirect estimation using HB method gave better result than using direct estimation method.
Estimasi Parameter Distribusi Mixture Eksponensial dan Weibull dengan Metode Bayesian Markov Chain Monte Carlo Ulfa Destiarina; Mustika Hadijati; Desy Komalasari; Nurul Fitriyani
Eigen Mathematics Journal Vol. 2 No. 1 Juni 2019
Publisher : University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (419.669 KB) | DOI: 10.29303/emj.v1i1.30

Abstract

Dalam estimasi parameter, kadangkala terdapat beberapa permasalahan yang menuntut penyelesaian dengan suatu distribusi mixture atau distribusi campuran. Penelitian ini bertujuan untuk menerapkan estimasi parameter distribusi mixture eksponensial dan Weibull pada data simulasi dengan metode estimasi Bayesian Markov Chain Monte Carlo (MCMC). Hasil yang diperoleh menunjukkan bahwa perhitungan analitik estimasi parameter lebih akurat dibandingkan perhitungan dengan bantuan perangkat lunak, apabila dipandang dari segi kesesuaian teori serta proses integrasinya
Analisis Rotasi Ortogonal pada Teknik Analisis Faktor Menggunakan Metode Procrustes Himayati Himayati; Ni Wayan Switrayni; Desy Komalasari; Nurul Fitriyani
Eigen Mathematics Journal Vol. 3 No. 1 Juni 2020
Publisher : University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/emj.v3i1.66

Abstract

Factor analysis is a multivariate statistical method that tries to explain the relationship between a number of independent variables by grouping these variables into factors. With this grouping, the existing variables will be easier to interpret. In increasing the power of factor interpretation, a matrix loading factor transformation must be performed. The transformation can be done by choosing the method that is in orthogonal rotation, the varimax or quartimax or equamax method. In order to find out which rotation techniques is the most appropriate, the minimum square distance values () generated from the procrustes method used. In this study three data were used from the results of the questionnaire, for data I obtain the value of the minimum distance squared with a varimax rotation that is  with ; for data II obtain the value of the minimum distance squared with a quartimax rotation that is  with ; for data III obtain the value of the minimum distance squared with a varimax rotation that is  with .
Small Area Estimation Jumlah Penderita Penyakit TBC di Kabupaten Lombok Timur Menggunakan Metode Empirical Bayes Toyyibah, Muslimatun; Komalasari, Desy; Fitriyani, Nurul
Eigen Mathematics Journal Vol 1 No 1: Vol 1 No 1 Juni 2018
Publisher : University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (259.033 KB) | DOI: 10.29303/emj.v1i1.9

Abstract

Empirical Bayes is one of small area estimation method that can be used to predict small area parameters. The small area is defined as a subpopulation of small sample sizes. Empirical Bayes is suitable for use in counted data with Poisson-Gamma model. The purpose of this research was to determine the sub-districts that have the highest risk in the number of people with TBC disease in East Lombok Regency. Based on the results, the analysis showed that sub-districts with the highest risk were Sukamulia Sub-district with 1.65543 value of relative risk in 2014, Sambelia Sub-district with 1.80396 value of relative risk in 2015, and Sambelia Sub-district with 4.12718 values ov relative risk in 2016.