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Journal : Eksponensial

Analisis Cluster Single Linkage Berdasarkan Potensi Desa Di Kabupaten Kutai KartanegaraTahun 2019 Suyanto, Suyanto; Syaripuddin, Syaripuddin; Wasono, Wasono
EKSPONENSIAL Vol. 12 No. 1 (2021)
Publisher : Program Studi Statistika FMIPA Universitas Mulawarman

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (614.371 KB) | DOI: 10.30872/eksponensial.v12i1.761

Abstract

Data mining is a step in the process of Knowledge Discovery in Database (KDD) which consists of the application of data analysis and the discovery of algorithms that produce certain enumerations of patterns in the data,Cluster Analysis is one of the methods in multivariate statistical analysis that is used to group objects into groups based on their characteristics, so the objects in one group have more homogeneous characteristics compared to objects in other groups. Single Linkage is a clustering process based on the closest distance between objects. If two objects are separated by a short distance, then the two objects will merge into one cluster. This study aims to obtain a cluster of village potential in Kutai Kartanegara Regency in 2019, based on the variable availability of educational facilities, the availability of health facilities, the availability of health workers, the availability of coin / card public telephones, the existence of lodging, the existence of market buildings, the existence of supermarkets, the existence of banks, the population obtaining credit facilities, the existence of other Non KUD cooperatives., Based on the results of the analysis, it can be seen that, Clusters formed in the grouping of potential villages / villages in Kutai Kartanegara Regency using a single linkage method are as many as 2 clusters.
Regresi Logistik dengan Metode Bayes untuk Pemodelan Indeks Pembangunan Manusia Kabupaten/Kota di Pulau Kalimantan Syafitri, Febriana; Goejantoro, Rito; Wasono, Wasono
EKSPONENSIAL Vol. 12 No. 2 (2021)
Publisher : Program Studi Statistika FMIPA Universitas Mulawarman

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30872/eksponensial.v12i2.802

Abstract

Human Development Index (HDI) is an indicator that can measure success in efforts to build the quality of human life. HDI is also a measure of the prosperity of a region which is observed based on three dimensions, namely health, education and economy. Based on HDI publication by the Central Statistics Agency in 2018, it showed that the scores of HDI for 56 districts/cities in Kalimantan Island only has two categories of HDI which are medium and high. Bayesian method is a parameter estimation technique that combines the likelihood and prior distribution functions. The estimation with Bayesian method was solved using Markov Chain Monte Carlo simulation (MCMC) with Gibbs Sampler algorithm. The aim of this study is to examine the modelling of the factors that influence the HDI of districts/cities in Kalimantan Island and determine the accuracy of the model classification using logistic regression with Bayesian method. The data used is the HDI of districts/cities in Kalimantan Island in 2018. Bayesian method is a parameter estimation technique that combines the likelihood and prior distribution functions. The estimation with Bayesian method was solved using Markov Chain Monte Carlo simulation (MCMC) with Gibbs Sampler algorithm. The results of modelling and analysis on districts/cities HDI data on Kalimantan Island showed that the factors that significantly influence HDI are the number of paramedic, the number of health facility and the participation rate of high school. The results of the classification accuracy of the model amounted to 82,14% which resulted in 37 districts/cities are categorized as the HDI medium category and 19 districts/cities are categorized as the HDI high category.
Model Geographically Weighted Poisson Regression (GWPR) dengan Fungsi Pembobot Adaptive Gaussian: (Studi Kasus : Angka Kematian Ibu (AKI) di 24 Kab/Kota Kalimantan Timur dan Kalimantan Barat Tahun 2017) Ridhawati, Ridhawati; Suyitno, Suyitno; Wasono, Wasono
EKSPONENSIAL Vol. 12 No. 2 (2021)
Publisher : Program Studi Statistika FMIPA Universitas Mulawarman

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30872/eksponensial.v12i2.807

Abstract

The Geographically Weighted Poisson Regression (GWPR) Model is a regression model developed from Poisson regression or a local form of Poisson regression. The GWPR model generates a local model parameter estimator at each observation location where the data is collected and assumes the data is Poisson distributed. The estimation of GWPR model parameters uses the Adaptive Gaussian weighting function by determining the optimum bandwidth using GCV criteria. Based on the GWPR model, it is found that the factors that influence the maternal mortality rate (MMR) data in 24 districts (cities) of East Kalimantan and West Kalimantan are the percentage of pregnant women receiving Fe3 tablets, pregnant women with obstetric complications and the number of hospitals. These three variables produce four groups of GWPR model. Based on the GCV value, it is obtained that the best model is the GWPR model because it has the smallest GCV value.
Penentuan Rute Terpendek dengan Menggunakan Metode Algoritma Clarke and Wright Savings Damayanti, Dwi Kartika; Purnamasari, Ika; Wasono, Wasono
EKSPONENSIAL Vol. 12 No. 1 (2021)
Publisher : Program Studi Statistika FMIPA Universitas Mulawarman

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (722.012 KB) | DOI: 10.30872/eksponensial.v12i1.762

Abstract

Operations research is a method regarding retrieval optimal decisions in the modeling of systems, both deterministic or probabilistic orginating from real life. One of the operations research methods is The Clarke and Wright savings algorithm, which is an exchange procedure, where a set of route at each step is exchange to get a better set of routes. This method is often referred to as a method. In this research, the Clarke and Wright savings algorithm is used to find out the distribution route and the minimum costs incurred on saving. On distribution of Bottled Water (AMDK) to determine how large savings that occur on the distribution route AMDK. Bottled Water (AMDK) is drinking water that is ready to be consumed directly without having to go through the heating process first. To determine the distribution route using the Clarke and wright savings method, a depot distance matrix is made to customer and from the customer to the customer and then continues to make the clarke and wright savings matrix. After searching for the shortest route using the clarke and wright savings method, the savings value is obtained to determine the customer’s route by sorting from the largest to the smallest value. In region 1 there were 5 trips with a total distance of 210.21 km, in region 2 there were 4 trips with a total distance of 191.35 km, in region 3 there were 5 trips with a total distance of 143.85 km, in region 4 there were 5 routes with a total distance 108.24 km, and in region 5 6 trips were obtained with a total distance of 113.95 km. The total distance travelled to deliver gallons to all routes is 767.59 km.
Penerapan Metode Adams-Bashforth-Moulton pada Persamaan Logistik Dalam Memprediksi Pertumbuhan Penduduk di Provinsi Kalimantan Timur Apriani, Dewi; Wasono, Wasono; Huda, Moh. Nurul
EKSPONENSIAL Vol. 13 No. 2 (2022)
Publisher : Program Studi Statistika FMIPA Universitas Mulawarman

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (716.25 KB) | DOI: 10.30872/eksponensial.v13i2.1046

Abstract

Logistic equation is a nonlinear ordinary differential equation that describes the population. Nonlinear ordinary differential equations can be solved by one of the numerical methods, namely the Adams-Bashforth-Moulton method. Adams-Bashforth-Moulton method is a multistep method which consists of Adams-Bashforth method as predictor and Adams-Moulton method as corrector. The logistic equation is solved first by using the Runge-Kutta method to obtain the four initial solutions, then followed by the Adams-bashforth-Moulton method. This study aims to predict population growth in the province of East Kalimantan using the Adams-Bashforth-Moulton method. Based on the calculation results obtained a numerical solution of the logistic equation for population growth at , with a step size of , the capacity of the province of East Kalimantan is and the growth rate of is 3,856,564 inhabitants.
Model Regresi Hazard Rate Weibull Kesembuhan Pasien Rawat Inap Demam Berdarah Dengue (DBD) Di RSUD Panglima Sebaya Tanah Grogot Fajriati, Nur Ainun; Suyitno, Suyitno; Wasono, Wasono
EKSPONENSIAL Vol. 13 No. 1 (2022)
Publisher : Program Studi Statistika FMIPA Universitas Mulawarman

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (784.163 KB) | DOI: 10.30872/eksponensial.v13i1.878

Abstract

Univariate Weibull Regression (RWU) is a regression model development of the Univariate Weibull distribution, where the scale parameters is expressed in terms of the regression parameters. Univariate Weibull Regression Models discussed in this study are Weibull survival regression and the Weibull hazard regression model. Weibull regression models in this study was applied to lifetime data containing the right censored data for Dengue Hemorrhagic Fever (DHF) inpatients at the Regional General Hospital (RSUD) Panglima Sebaya Tanah Grogot, Paser Regency, Kalimatan Tinur. The purpose of this study was to obtain a Weibull regression model and to determine the factors that affect the patients is survive (have not recovery) and the recovery rate of DHF patients. The parameter estimation is the Maximum Likelihood Estimation (MLE) which is solved by using the Newton-Raphson iterative method. The study conclude that the factors influencing the patients is survive (have not recovery) and the recovery rate of DHF patients at RSUD Panglima Sebaya Tanah Grogot were platelets and leucocytes.
Analisis Cluster Pada Produk Mie Instan Berdasarkan Komposisi Yang Terkandung Dengan Menggunakan Metode Ward Sam, Faza Syahrudin; Syaripuddin, Syaripuddin; Wasono, Wasono
EKSPONENSIAL Vol. 12 No. 1 (2021)
Publisher : Program Studi Statistika FMIPA Universitas Mulawarman

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (611.762 KB) | DOI: 10.30872/eksponensial.v12i1.759

Abstract

Cluster analysis is a grouping of data (objects) based on only the information found in the data that describes the object and the relationships between data. The variance method commonly used is the Ward method where the average for each cluster is calculated. At each stage, the two clusters that have the smallest increase in sum of squares in the cluster are combined.. Some compositions of ingredients in noodles, for example, fat, protein, carbohydrates, food fiber, sugar and sodium. The composition of the noodles that are dangerous one of which is Monosodium Glutamate (MSG). The purpose of this research is to find out how many clusters are formed based on the composition of the content of instant noodle products. Based on the results of cluster research formed based on the composition of the contents of 43 instant noodle samples are 9 clusters where the first cluster consists of 2 members, the second cluster consists of 7 members, the third cluster consists of 5 members, the fourth cluster consists of 7 members, the fifth cluster consists of 6 members, the sixth cluster consists of 4 members, the seventh cluster consists of 4 members, the cluster the eighth consists of 1 member and the ninth cluster consists of 7 members.