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ANALISIS SURVIVAL MENGGUNAKAN REGRESI WEIBULL PADA LAJU KESEMBUHAN PASIEN TUBERKULOSIS PARU DI RSUD ALOEI SABOE KOTA GORONTALO Isran K Hasan; Winni A. Pakaya; Novianita Achmad; Dewi Rahmawaty Isa
Euler : Jurnal Ilmiah Matematika, Sains dan Teknologi EULER: Volume 9 Issue 1 June 2021
Publisher : Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34312/euler.v9i1.10758

Abstract

This study was aimed at discussing survival analysis in Pulmonary Tuberculosis patients in Aloei Saboe using Weibull regression to find out the factors that influence the patient’s recovery rate. To analyze the survival time, the Kaplan-Meier curve is used then the process continues into Log-Rank Test to see the differences between groups in a curve. Weibull Regression is used to determine the significant factors based on a log-rank test in the rate of recovery of Pulmonary Tuberculosis patients. The results of the study concluded age, shortness of breath, fever, cough, history of illness and smoking habits are factors that significantly influence the rate of recovery of Pulmonary Tuberculosis patients.
Bilangan Terhubung Titik Pelangi pada Graf Hasil Operasi Korona Graf Prisma (P_(m,2)) dan Graf Lintasan (P_3) Indrawati Lihawa; Sumarno Ismail; Isran K Hasan; Lailany Yahya; Salmun K Nasib; Nisky Imansyah Yahya
Jambura Journal of Mathematics Vol 4, No 1: January 2022
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1474.15 KB) | DOI: 10.34312/jjom.v4i1.11826

Abstract

Rainbow vertex-connection number is the minimum k-coloring on the vertex graph G and is denoted by rvc(G). Besides, the rainbow-vertex connection number can be applied to some special graphs, such as prism graph and path graph. Graph operation is a method used to create a new graph by combining two graphs. Therefore, this research uses corona product operation to form rainbow-vertex connection number at the graph resulting from corona product operation of prism graph and path graph (Pm,2 P3) (P3 Pm,2). The results of this study obtain that the theorem of rainbow vertex-connection number at the graph resulting from corona product operation of prism graph and path graph (Pm,2 P3) (P3 Pm,2) for 3 = m = 7 are rvc (G) = 2m rvc (G) = 2.
Perbandingan Model ARCH (1) dan GARCH (1,1) Ditinjau dari Perilaku Kurtosis dan Fungsi Autokorelasi Isran K Hasan; Ismail Djakaria; Demas Novaleda Abdul Karim
Jambura Journal of Mathematics Vol 2, No 2: Juli 2020
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (343.374 KB) | DOI: 10.34312/jjom.v2i2.4642

Abstract

Tulisan ini membahas tentang perbandingan model ARCH (1) dan GARCH (1,1) dengan melihat perilaku kurtosis dan fungsi autokorelasi baik secara analitik maupun menggunakan simulasi. Metode yang digunakan adalah studi literatur. Hasil yang diperoleh menunjukkan bahwa secara analitik kedua model memiliki kurtosis lebih dari tiga yang berarti model tersebut merupakan model dengan distribusi ekor tebal serta kedua model tersebut mempunyai fungsi autokorelasi return kuadrat yang turun secara perlahan. Hasil simulasi numerik perbandingan MSE nilai kurtosis data dan kurtosis model menunjukkan bahwa model GARCH (1,1) memiliki MSE terkecil dengan nilai 3,702. Selanjutnya, hasil numerik perbandingan MSE untuk fungsi autokorelasi diperoleh GARCH (1,1) memiliki MSE terkecil pada dua data yaitu SMGR.JK dan JMSR.JK masing masing memiliki nilai 0,0025 dan 0,0015, sedangkan untuk data MNCN.JK MSE terkecilnya adalah model ARCH (1) dengan distribusi  dengan nilai 0,0048.
PENERAPAN MODEL SPASIAL DURBIN DENGAN UJI LANJUTAN LOCAL INDICATOR OF SPATIAL AUTOCORRELATION UNTUK MELIHAT PENYEBARAN STUNTING DI KABUPATEN BONE BOLANGO LISA SYAHRIA HASIRU; ISMAIL DJAKARIA; ISRAN K HASAN
Jambura Journal of Probability and Statistics Vol 3, No 1 (2022): Jambura Journal Of Probability and Statistics
Publisher : Department of Mathematics, Universitas Negeri Gorontalo

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.34312/jjps.v3i1.13083

Abstract

One of the spatial regression analysis used is the spatial durbin model (SDM). This model can be applied to obtain the relationship between X and Y variables and their spatial effects. This research was continued by testing the local spatial autocorrelation, namely the local indicator of spatial autocorrelation (LISA) which aims to provide information on the pattern of spatial relationships of each observation area in Bone Bolango regency. Stunting cases in Gorontalo province, especially in Bone Bolango regency, are in a status that needs to be addressed immediately due to the prevalence rate in Bone Bolango regency in 2019 above 20% based on the WHO standard. The results showed that the factors that significantly affected stunting in 2019 in Bone Bolango regency were exclusive breastfeeding, the  proper sanitation and poverty. Meanwhile, based on the spatial effect, the factors that significantly affected stunting in 2019 in Bone Bolango regency were the percentage of exclusive breastfeeding, the percentage of LBW, the number of children with CBI and poverty. Based on result from the LISA, the observation areas of stunting cases showed that the percentage of exclusive breastfeeding, the number of children with CBI and povertu had a spatial autocorrelation or forming a grouping on the distribution of the stunting cases, the number of children with IDL and poverty, there are sub-districts that have spatial autocorrelation.
Perbandingan K-Nearest Neighbor dan Random Forest dengan Seleksi Fitur Information Gain untuk Klasifikasi Lama Studi Mahasiswa Isran K Hasan; Resmawan Resmawan; Jefriyanto Ibrahim
Indonesian Journal of Applied Statistics Vol 5, No 1 (2022)
Publisher : Universitas Sebelas Maret

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.13057/ijas.v5i1.58056

Abstract

Accreditation is a quality and feasibility assessment form in carrying out higher education. One of the factors that affect accreditation is the length of student study. In this study, the length of student study is classified by using the best attributes resulting from selecting information gain features. In optimizing the classification algorithm, we process the data by converting the original data into data that is ready to be mined. The next step is dividing the data into training and testing data so that the classification algorithm can be applied. This study gives the best four attributes, with K-nearest neighbor (K-NN) classification of 86.67% and random forest classification of 100%.Keywords: length of study; information gain; K-nearest neighbor; random forest
Perbandingan Model Hybrid ARIMA-NN dan Hybrid ARIMA-GARCH untuk Peramalan Data Nilai Tukar Petani di Provinsi Gorontalo Isran K. Hasan; Ismail Djakaria
Jurnal Statistika dan Aplikasinya Vol 5 No 2 (2021): Jurnal Statistika dan Aplikasinya
Publisher : Program Studi Statistika FMIPA UNJ

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.21009/JSA.05204

Abstract

Nilai Tukar Petani (NTP) adalah salah satu penanda tingkat kesejahteraan petani. NTP yang tinggi akan mendorong kegairahan petani dalam berusaha tani sehingga dibutuhkan suatu peramalan dari NTP yang akan memberikan manfaat buat pemerintah daerah Provinsi Gorontalo. Pada penelitian ini akan dilakukan peramalan NTP dengan menggunakan hybrid model yaitu hybrid ARIMA-GARCH dan hybrid ARIMA-NN. Masing – masing model tersebut ditentukan model terbaik. Untuk model hybrid ARIMA-GARCH terbaik adalah model ARIMA (2,0,0)-GARCH (1,1). Sedangkan untuk model ARIMA-NN Terbaik adalah model ARIMA (2,0,0) dengan arsitektur NN (2-4-1). Dari Kedua model tersebut, diperoleh model ARIMA (2,0,0) - NN(2-4-1) merupakan model paling baik dengan nilai MAPE dan RMSE berturut-turut adalah untuk peramalan data NTP adalah 0.043831dan 4.651419.
RAINBOW CONNECTION NUMBER AND TOTAL RAINBOW CONNECTION NUMBER OF AMALGAMATION RESULTS DIAMOND GRAPH(〖Br〗_4) AND FAN GRAPH(F_3) Sumarno Ismail; Isran K. Hasan; Tesya Sigar; Salmun K. Nasib
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 16 No 1 (2022): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (980.35 KB) | DOI: 10.30598/barekengvol16iss1pp023-030

Abstract

If be a graph and edge coloring of G is a function , rainbow connection number is the minimum-k coloration of the rainbow on the edge of graph G and denoted by rc(G). Rainbow connection numbers can be applied to the result of operations on some special graphs, such as diamond graphs and fan graphs. Graph operation is a method used to obtain a new graph by combining two graphs. This study performed amalgamation operations to obtain rainbow connection numbers and rainbow-total-connection numbers in diamond graphs ( ) and fan graphs ( ) or . Based on the research, it is obtained that the rainbow-connection number theorem on the amalgamation result of the diamond graph ( ) and fan graph ( is with . Furthermore, the theorem related to the total rainbow-connection number on the amalgamation result of the diamond graph( ) and the fan graph ( is obtained, namely with .
BILANGAN TERHUBUNG PELANGI PADA GRAF HASIL OPERASI KORONA GRAF ANTIPRISMA (APm) DAN GRAF LENGKAP (K4) Khairun Nisa Humolungo; Sumarno Ismail; Isran K. Hasan; Nisky Imansyah Yahya
Jurnal Matematika UNAND Vol 11, No 2 (2022)
Publisher : Jurusan Matematika FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.11.2.112-123.2022

Abstract

Bilangan terhubung pelangi didefinisikan sebagai banyaknya jumlah warna minimum yang dibutuhkan untuk membuat graf G menjadi terhubung pelangi, dengan syarat sisi yang termasuk dalam lintasan pelangi tidak boleh memiliki warna yang sama. Bilangan terhubung pelangi disimbolkan dengan rc(G). Seiring berkembangnya ilmu pengetahuan dan penelitian, maka bilangan terhubung pelangi mulai diterapkan ke dalam operasi graf. Penelitian ini menggunakan operasi korona untuk mengetahui bilangan terhubung pelangi dari graf antiprisma (APm) dan graf lengkap (K4). Berdasarkan hasil penelitian, maka diperoleh teorema bilangan terhubung pelangi dari graf (APm ⊙ K4) = 2m untuk 3 ≤ m ≤ 7 dan bilangan terhubung pelangi dari graf (K4 ⊙ APm) = 4 untuk m = {3, 4} ∧ 2m − 2 untuk 5 ≤ m ≤ 9, m ganjil ∧ 2m untuk 5 ≤ m ≤ 9, m genap.
Perbandingan Model ARIMA-RBF dan ARIMA-GARCH dalam Peramalan Time Series Inflasi Provinsi Gorontalo Awalia Emiro; Isran K Hasan; Novianita Achmad
Research in the Mathematical and Natural Sciences Vol. 2 No. 1 (2023): November 2022-April 2023
Publisher : Scimadly Publishing

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.55657/rmns.v2i1.76

Abstract

A quantitative method that is observed sequentially from time to time is a time series. In the real word, problems often occur where one method is not able to solve the problem. This research used linear and nonlinear methods by combining the ARIMA-RBF anda ARIMA-GARCH models in forecasting, and then the two models were compared based on the MAPE value. This research used monthly data on inflation for housing, water, electricity, and other fuels from 2008 to 2020. The forecast results from the ARIMA-RBF model obtained the MAPE value of 7.5%, and the ARIMA-GARCH model obtained the MAPE value of 11.8%. thus, the best model for predicting inflation in this research was the ARIMA RBF model.
Optimization Fuzzy Geographically Weighted Clustering with Gravitational Search Algorithm for Factors Analysis Associated with Stunting Isran K Hasan; Nurwan; Nur Falaq; Muhammad Rezky Friesta Payu
Jurnal RESTI (Rekayasa Sistem dan Teknologi Informasi) Vol 7 No 1 (2023): February 2023
Publisher : Ikatan Ahli Informatika Indonesia (IAII)

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29207/resti.v7i1.4508

Abstract

Stunting is a significant threat to the quality of human resources in Indonesia because stunting does not only involve physical growth disorders but can also cause children to be vulnerable to disease and experience disorders of brain development and intelligence. Many factors cause stunting, not only malnutrition in pregnant women and toddlers. Grouping can be done to make it easier to see the characteristics of the factors causing stunting in Indonesia. The grouping is done based on the similarity of the characteristics of the factors causing stunting in each province. This study used Fuzzy Geographically Weighted Clustering (FGWC) with Gravitational Search Algorithm (GSA) to group and assess the best cluster using the Partition Coefficient validity index, Classification Entropy, Separation Index, Xie & Beni's Index, and IFV Index. Furthermore, a difference test was conducted to determine the dominant factor causing stunting in the formed cluster. The results showed that the FGWC-GSA gave the best clustering results on the fuzziness value of 2 with the number of clusters 2. Cluster 1 consisted of 16 provinces, and cluster 2 consisted of 18 provinces. Based on the T-test, the variables of infants who received exclusive breastfeeding had significant differences between clusters. Therefore, cluster 2 is a cluster that has dominant problems related to exclusive breastfeeding.