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Department of Statistic, Faculty of Science and Mathematics , Universitas Diponegoro Department of Statistics, Faculty of Science and Mathematics, Universitas Diponegoro Gedung F lt.3 Tembalang Semarang 50275
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Jurnal Gaussian
Published by Universitas Diponegoro
ISSN : -     EISSN : 23392541     DOI : -
Core Subject : Education,
Jurnal Gaussian terbit 4 (empat) kali dalam setahun setiap kali periode wisuda. Jurnal ini memuat tulisan ilmiah tentang hasil-hasil penelitian, kajian ilmiah, analisis dan pemecahan permasalahan yang berkaitan dengan Statistika yang berasal dari skripsi mahasiswa S1 Departemen Statistika FSM UNDIP.
Arjuna Subject : -
Articles 733 Documents
PENERAPAN METODE EMPIRICAL BEST LINEAR UNBIASED PREDICTION (EBLUP) PADA MODEL PENDUGA AREA KECIL DALAM PENDUGAAN PENGELUARAN PER KAPITA DI KABUPATEN BREBES Rahayu Ningtyas; Rita Rahmawati; Yuciana Wilandari
Jurnal Gaussian Vol 4, No 4 (2015): Jurnal Gaussian
Publisher : Department of Statistics, Faculty of Science and Mathematics, Universitas Diponegoro

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (716.185 KB) | DOI: 10.14710/j.gauss.v4i4.10233

Abstract

The coming of a policy about regional autonomy makes district government's choices of strategy and policy become crucial and important for it's district's development and prosperity. Indicator that can states this district development is Human Development Index (HDI). One of dimension that being used to predict the value of HDI is the dimensions of decent living, which can be shown from expenditure per capita. Should the samples of expenditure per capita are less than needed, it can cause difficulty to analyze the value of HDI on next level, which is sub-districal HDI. Direct estimaton only will not give enough validity for the results which can cause the increasing value for it's variance. Another method that can be used is small area estimation (SAE) with Empirical Best Linear Unbiased Prediction (EBLUP) method. This estimation uses the information from it's surrounding areas that correlates with the subject's parametrics. The evaluation for the results is done by comparing the value of Relative Root Mean Square Error (RRMSE) from a direct estimation with the RRMSE from an indirect estimation, which is the EBLUP method. Results from EBLUP estimation is better with average of RRMSE of 7,219% than direct estimation's average of RRMSE with 9,361%. Keywords : Expenditure per capita, Small Area Estimation (SAE), Empirical Best Linear Unbiased  Prediction (EBLUP)
PENDEKATAN REGRESI POLINOMIAL ORTHOGONAL UNTUK MENENTUKAN KADAR SALINITAS DAN KONSENTRASI LARUTAN KITOSAN PADA PEMBUATAN ANTIBAKTERI Haryanti Novitasari; Triastuti Wuryandari; Sugito Sugito
Jurnal Gaussian Vol 3, No 3 (2014): Jurnal Gaussian
Publisher : Department of Statistics, Faculty of Science and Mathematics, Universitas Diponegoro

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (433.73 KB) | DOI: 10.14710/j.gauss.v3i3.6452

Abstract

Indonesia is one of the countries with big marine resource. It can cause increased marine waste, such as the shells. Shells can be processed into chitosan. Chitosan has the benefits with high economic value, one of the benefit is became a source of natural antibacterial. Antibacterial test of the chitosan and salinity of the S. aureus bactery indicating inhibition zone formation. The larger inhibition zone indicated that antibacterial produced  is better. To optimize the level of salinity and concentration of chitosan so this is used polynomial orthogonal regression approach. This approach can be done on design with the quantitative factors and it have same distance. Determination of the degree of polynomial orthogonal based on orthogonal contrasts that have significant factor of salinity and concentration of chitosan, then it can be determined the shape of regression equation. From the that equation can be determined the extreme points using a differential count. When return to the form of the design it can be determined in what  levels of salinity and concentration of chitosan that can maximize the inhibition zone in millimeters. After optimization obtained maximum value of salinity is 18,2846375915% and concentration of chitosan is 1,999699328% with assessment of inhibition zone of antibacterial for S. aureus is 1,72486650 mm. 
PEMODELAN FUNGSI TRANSFER DENGAN DETEKSI OUTLIER UNTUK MEMPREDIKSI NILAI INFLASI BERDASARKAN BI RATE (Studi Kasus BI Rate dan Inflasi Periode Januari 2006 sampai Juli 2016) Firda Dinny Islami; Abdul Hoyyi; Dwi Ispriyanti
Jurnal Gaussian Vol 6, No 3 (2017): Jurnal Gaussian
Publisher : Department of Statistics, Faculty of Science and Mathematics, Universitas Diponegoro

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (484.317 KB) | DOI: 10.14710/j.gauss.v6i3.19305

Abstract

Inflation control is one of the important things in managing a country besides economic growth. Inflation received special attention in the economy of Indonesia. Every time there is a distortion in the society, politic or economic development, people always relate it to inflation. Low and stable inflation is a stimulator of economic growth. Inflation is also the final target in the monetary policy framework so the need for a central bank role to determine the policy direction. The BI Rate is one of the variables capable of controlling inflation. This study aims to forecast inflation based on the BI Rate using the transfer function model with outlier detection. The transfer function model depends on the parameters b, r, and s. The result of the analysis has been obtained the transfer function model with the value of b = 1, r = 0, s = 1 and the noise series ARMA (2,0). The addition of 16 outliers on the model yielded the best model with the AIC value is -868,56. The forecasting results show that the value of inflation has fluctuated, where in September 2016 it has decreased and then increased until December 2016.Keywords : Inflation, BI Rate, transfer function, outlier detection, AIC
SIX SIGMA UNTUK ANALISIS KEPUASAN PELANGGAN TERHADAP PERSEPSI KUALITAS PROVIDER KARTU GSM PRABAYAR Dina Rosmalia Listya Utami; Mustafid Mustafid; Rita Rahmawati
Jurnal Gaussian Vol 4, No 1 (2015): Jurnal Gaussian
Publisher : Department of Statistics, Faculty of Science and Mathematics, Universitas Diponegoro

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (616.745 KB) | DOI: 10.14710/j.gauss.v4i1.8100

Abstract

The company is currently competing industry in offering a good product in the form of goods or services in order to attract consumers. Competition industrial companies also occur in companies engaged in the telecommunications sector that influence the cellular telecommunications services company. In 2000 PT Indosat and PT Telkomsel was licensed as an operator National GSM 1800 as mandated by the Telecommunications Act No. 36/1999. In recent years, the Provider of Indosat and Telkomsel occupied the top two in terms of number of customers and the profit generated. This study aimed to analyze the level of customer satisfaction on the perception of the quality of the GSM prepaid card provider used by using six sigma method that becomes an approach to reduce the variability of the process through the use of statistical tools. In this study, the overall process is in a state that has not been well despite being in the category of satisfied but do not meet the targets used. DPMO results obtained from the Provider Indosat and Telkomsel to dimensions of technical quality and functional quality with a target of 8 each is 189718,8; 180625; 102343,8; 105250 with the sigma level 2,37; 2,41; 2,76 and 2,32. As for the dimensions of technical quality and functional quality with the target 9 on each Provider DPMO results obtained for 279750; 271666,7; 202083,3; 204666,7 with sigma level 2,08; 2,41; 2,33 and 2,32. These results are still far from the expected target is 3,4 DPMO and 6-sigma. Keywords: Six Sigma, DPMO, Service Quality, Customer Satisfaction.
PERAMALAN HARGA MINYAK MENTAH DUNIA MENGGUNAKAN METODE RADIAL BASIS FUNCTION NEURAL NETWORK Rahafattri Ariya Fauzannissa; Hasbi Yasin; Dwi Ispriyanti
Jurnal Gaussian Vol 5, No 1 (2016): Jurnal Gaussian
Publisher : Department of Statistics, Faculty of Science and Mathematics, Universitas Diponegoro

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (554.655 KB) | DOI: 10.14710/j.gauss.v5i1.11049

Abstract

Oil is the most important commodity in everyday life, because oil is one of the main source of energy that is needed for the people. Changes in crude oil prices greatly affect the economic conditions of a country. To forecast crude oil prices, the past data of the crude oil that is the time series data will be studied so that will produce crude oil price forecast in the future. Model of Radial Basis Function Neural Network is suitable for large-scale data processing, because this model does not require the use of all data input and has a total processing time of rapid system. This model has a network architecture in the form of input layer, hidden layer and output layer. Analysis conducted on the data as much as 1286 taken as 100 the data thus obtained value of 0.9145 MSE training and training MAPE value of 0.74%, while for the testing of 4.2739 MSE and MAPE testing value is 1.63%. Based on the results of forecasting, crude oil prices on July 29, 2015 until August 2, 2015 at USD $ 55.91 per barrel. Keywords: Radial Basis Function Neural Network (RBFNN), Time Series, Crude Oil, MSE, MAPE, Forcasting
RANCANGAN D-OPTIMAL UNTUK REGRESI POLINOMIAL DERAJAT 3 DENGAN HETEROSKEDASTISITAS Naomi Rahma Budhianti; Tatik Widiharih; Moch. Abdul Mukid
Jurnal Gaussian Vol 2, No 2 (2013): Jurnal Gaussian
Publisher : Department of Statistics, Faculty of Science and Mathematics, Universitas Diponegoro

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (520.015 KB) | DOI: 10.14710/j.gauss.v2i2.2780

Abstract

Suatu model hubungan antara variabel prediktor X dan variabel respon Y, dalam hal ini adalah model regresi polinomial derajat 3 dengan heteroskedastisitas yang mempunyai fungsi bobot .  Permasalahan yang muncul adalah bagaimana memilih titik-titik rancangan X yang akan dicobakan sehingga model menjadi signifikan. Rancangan D-Optimal adalah rancangan dengan kriteria keoptimalan meminimumkan variansi estimator parameter. Jika variansi estimator parameter minimum maka diharapkan parameter dalam model menjadi signifikan sehingga model juga signifikan. Kriteria rancangan D-Optimal didapatkan dengan memaksimumkan determinan matriks informasi atau meminimumkan determinan invers matriks informasi. 
ANALISIS KURVA SURVIVAL KAPLAN MEIER MENGGUNAKAN UJI LOG RANK (Studi Kasus :Pasien Penyakit Jantung Koroner di RSUD Undata Palu) Arianti Suhartini; Rita Rahmawati; Suparti Suparti
Jurnal Gaussian Vol 7, No 1 (2018): Jurnal Gaussian
Publisher : Department of Statistics, Faculty of Science and Mathematics, Universitas Diponegoro

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (454.914 KB) | DOI: 10.14710/j.gauss.v7i1.26633

Abstract

Coronary heart disease is one of the leading causes of death in the world, including Indonesia. Based on doctor-diagnosed interviews, coronary heart disease’s prevalence in Indonesia on 2013 is 0,5% and based on a doctor-diagnosed is 1,5%. Central Sulawesi is ranked first and second for prevalence based on doctor-diagnosed interviews and doctor-diagnosed. The high number of people with coronary heart disease caused by lack of self-awareness in lifestyle changes. One of the parameters used to assess the success of treatment is the probability of survival. Survival analysis is a data analysis where the outcome of the variables studied is the time until an event occurs. This study raised the problem of survival of coronary heart patients at Undata Palu Hospital which is the main referral hospital for Central Sulawesi region. This research uses nonparametric method that is Kaplan Meier and Log Rank Test based on six factors are age, gender, stadium, disease status, complication and status of anemia. Nonparametric methods do not follow a particular distribution for survival time. Kaplan Meier's survival curve will describe the patient's characteristics of survival probability and followed by a Log Rank test to see if there are differences between curves. The result of analysis and discussion based on Log Rank test result showed that the factors of age, sex and disease status differ significantly. Keywords: Coronary heart disease, RSUD Undata Palu, Kaplan Meier analysis, Log Rank test.
ANALISIS JALUR TERHADAP FAKTOR-FAKTOR YANG MEMPENGARUHI INDEKS PRESTASI KUMULATIF (IPK) MAHASISWA STATISTIKA UNDIP Malik Hakam; Sudarno Sudarno; Abdul Hoyyi
Jurnal Gaussian Vol 4, No 2 (2015): Jurnal Gaussian
Publisher : Department of Statistics, Faculty of Science and Mathematics, Universitas Diponegoro

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.14710/j.gauss.v4i2.8581

Abstract

Education is a priority thing everyone today. Education is implemented in learning, by learning humans can develop all the potential there is in him. Learning is always related to the achievement of learning, because learning is a process while learning achievement is the result of the learning process. In the course of learning achievement levels measured by GPA (Grade Point Average). Factors that influence GPA among allowance, age, value of the UN Senior High School, many organizations, the internet long, long time to learn. Path analysis is the development of multiple regression which the independent variables affect the dependent variable not only directly but also indirectly affect. Based on the results of the discussion of the factors that affect the GPA is concluded that the allowance has indirect effect of   -0,211, age has  direct effect of age at 0,1901, the UN has direct effect of 0,258, many organizations have a direct effect of -0,3582 and has indirect effect of -0,132, the  internet long direct effect of -0,2376 and has indirect effect of -0,038, long learning has a direct effect of 0,2344. Keywords: Education, GPA, Path analysis, Direct effect, Indirect effect
GUI MATLAB UNTUK KOMBINASI METODE ANALYTIC HIERARCHY PROCESS (AHP) DAN TOPSIS DALAM PEMILIHAN CAFE TERFAVORIT (STUDI KASUS : Pemilihan Cafe Terfavorit di Daerah Tembalang, Semarang) Putri Aulia Netra; Tatik Widiharih; Hasbi Yasin
Jurnal Gaussian Vol 5, No 3 (2016): Jurnal Gaussian
Publisher : Department of Statistics, Faculty of Science and Mathematics, Universitas Diponegoro

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1274.726 KB) | DOI: 10.14710/j.gauss.v5i3.14708

Abstract

Tembalang is an area that has many culinary business. One of them is cafe bussiness. This condition causes high competition in attracting consumers to gain profit. According to this situation, we need a method to asses the most favourite cafe based on consumer taste to create cafe as they expected. The methods used in choosing the most favourite cafe are Analytic Hierarchy Process (AHP) and Technique for Order Preference by Similarity to Ideal Solution (TOPSIS). Both of method are the methods used to solve the Multi-Attribute Decision Making (MADM) problem. AHP is used as a method of weighting each criteria by forming pairwise comparison matrix, normalizing pairwise comparison matrix, weighting and testing the consistency of the weight that was gained. Whereas TOPSIS is used to rank the most favorite cafe by calculating the weighted-normalized decision matrix MADM, determining the positive and negative ideal solution, calculating the distance between each alternative with positive and negative ideal solution and calculating the value of preference for each alternatives. There are eight cafes and fourteen criterias. The criterias are the taste of foods and drinks, price, site accessibility, wifi, the neatness of waiters, the hospitality of waiters, waiters’s knowledge about menu, the accuracy of the preparation of the foods and drinks, transaction convenience, varian of menu, the safety and cleanliness of area, handling against misstatement, layout and decoration, and serving. The result of this research is: the most preferred cafe has 0.84322 of preference value.  Preference value which calculated manually has similar result with Graphical User Interface (GUI)  Matlab.Keywords: AHP, TOPSIS, cafe, favorite, preference
ANALISIS PREFERENSI KONSUMEN TERHADAP PRODUK SUSU BERBASIS ANALISIS CONJOINT MENGGUNAKAN METODE PRESENTASI PAIRWISE-COMPARISON (Studi kasus di Beberapa SMP di Kecamatan Banyumanik Kota Semarang) Trianita Resmawati; Moch. Abdul Mukid; Diah Safitri
Jurnal Gaussian Vol 2, No 4 (2013): Jurnal Gaussian
Publisher : Department of Statistics, Faculty of Science and Mathematics, Universitas Diponegoro

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (408.153 KB) | DOI: 10.14710/j.gauss.v2i4.3811

Abstract

In this study aims to help producer or milk companies to know and understand consumer preferences for attributes combination of milk products specifically for adolescent. The method used in this study is the conjoint analysis using pairwise-comparison as a method of presentation. In this research, the attributes that used are the type of milk, flavor, packaging, and fat content. The result of this reserach shows that the packaging is the most important attribute between the other attributes with a relative importance value of 56.13%. The second most importance attribute is flavor of milk with a relative importance value of 38.55%. Fat content was ranked in the third place with a relative importance value of 4.28%, and the type of milk as the fourth attribute with a relative importance value of 1.05%. In addition, the stimuli is desired by consumers for milk products specifically for adolescent are condensed milk, chocolate, canned, and non fat.

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