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PENERAPAN METODE WAVELET THRESHOLDING UNTUK MENGAPROKSIMASI FUNGSI NONLINIER Muhammad Luthfie Janariah; Syamsul Bahri; Nurul Fitriyani
Indonesian Physical Review Vol. 4 No. 3 (2021)
Publisher : Universitas Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/ipr.v4i3.98

Abstract

The wavelet thresholding method is an approximation method by reducing noise, which is known as the denoising process. This denoising process will remove noise while closed the important information in the data. In this research, the wavelet thresholding method is used to approximate the nonlinear function. The data used for the simulation is a representation of several functions that represent several events that often occur in the real world, which consists of the types of functions Blocks, Bumps, Doppler, and HeaviSine.  Based on simulation results based on the indicator value of the Cross-Validation (CV), the best approximation of the nonlinear function using the wavelet thresholding method for the four simulation cases are: (i) the Blocks function is given by Haar wavelet with a soft of thresholding function and the 10-th resolution level ; (ii) the Doppler function is given on the 2-nd order of Symlets wavelet with a soft of thresholding function and the 10-th resolution level; (iii) the Bumps function is given on the 6-th order of Daubechies wavelet with a soft of thresholding function and the 10-th resolution level; and (iv) the HeaviSine function is given by the 3-rd order of Coiflet wavelet with a soft of thresholding function and the 7-th resolution level.
Peranan Statistika dan Pengembangan Karakter dalam Menghadapi Tantangan Era Revolusi Industri 4.0 dan Big Data pada SMAN 1 Praya Agus Kurnia; Mustika Hadijati; Desy Komalasari; Nurul Fitriyani
Jurnal Gema Ngabdi Vol. 2 No. 1 (2020): Jurnal Gema Ngabdi
Publisher : Universitas Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/jgn.v2i1.50

Abstract

The development of science and technology provides changes to every aspect of human life including social, economic, educational and industrial changes which are now entering stage 4.0. The Era of the Industrial Revolution 4.0 is identical to the Internet of Things which produces Big Data that cannot be processed with conventional devices and requires special analysis. These changes require human resource development in science, education and character in order to continue to compete with the global world, especially the younger generation who will fill the industrial forward. The problem arises because most of the educational outcomes lack a link and match or a good match between tertiary education which causes students to feel wrong about their majors or the incompatibility of their needs and abilities in the industrial world which makes it difficult for them to find a work. Therefore, coaching efforts are needed so that students can be aware and prepare themselves to improve their quality both by increasing hardskills and soft skills to meet these needs. This community service activity is carried out by SMAN 1 Praya as one of the best high schools and is a reference school in West Nusa Tenggara. The method used is the direct learning method that is evaluated using self-assessment techniques conducted by students using google form. Evaluation results show an increase in students' knowledge of statistics and character development needed in the face of the industrial revolution 4.0 and Big Data after they have participated in this dedication activity.
Pelatihan Pembuatan Media Pembelajaran Matematika Interaktif Berbasis Microsoft Powerpoint di MA Attamimy Lombok Tengah Nurul Fitriyani; Mustika Hadijati; Lisa Harsyiah; Zulhan Widya Baskara
Jurnal Pengabdian Masyarakat Sains Indonesia Vol. 3 No. 2 (2021)
Publisher : Universitas Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (462.553 KB) | DOI: 10.29303/jpmsi.v3i2.147

Abstract

Madrasah Aliyah (MA) Attamimy adalah yang berada di bawah naungan Yayasan Pondok Pesantren Attamimy. MA Attamimy ini memiliki visi dan misi untuk melahirkan manusia-manusia yang berimtaq, berakhlak mulia, serta mampu bersaing menghadapi tantangan zaman global. Pada dasarnya, MA Attamimy ini telah memilki fasilitas komputer beserta akses internet yang cukup memadai, namun penggunaannya belum digunakan secara maksimal. Masalah lain yang juga terjadi adalah munculnya istilah mathematics phobia di kalangan siswa di MA Attamimy. Beberapa kesan negatif mengenai ilmu sains dan matematika ini mengharuskan penyampaian materi dan proses pembelajaran di kelas harus dikemas semenarik mungkin. Tujuan dilakukannya kegiatan Pengabdian kepada Masyarakat ini adalah dalam rangka pemanfaatan internet dan Microsoft PowerPoint dalam membuat media pembelajaran yang interaktif. Berdasarkan kegiatan Pengabdian kepada Masyarakat yang dilakukan di MA Attamimy, perlu untuk dilakukan kegiatan lanjutan sebagai bentuk kesinambungan kegiatan. Microsoft PowerPoint sendiri telah dimanfaatkan dalam membuat media pembelajaran interaktif oleh peserta kegiatan Pengabdian kepada Masyarakat, hanya saja perlu ditingkatkan pemanfaatan fitur-fitur, salah satunya fitur hyperlink, sehingga dapat meningkatkan kualitas pembelajaran.
Spline Truncated Multivariabel pada Permodelan Nilai Ujian Nasional di Kabupaten Lombok Barat Nurul Fitriyani; Lailia Awalushaumi; Agus Kurnia
Jurnal Matematika Vol 7 No 2 (2017)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/JMAT.2017.v07.i02.p90

Abstract

Regression model is used to analyze the relationship between dependent variable and independent variable. If the regression curve form is not known, then the regression curve estimation can be done by nonparametric regression approach. This study aimed to investigate the relationship between the value resulted by National Examination and the factors that influence it. The statistical analysis used was multivariable truncated spline, in order to analyze the relationship between variables. The research that has been done showed that the best model obtained by using three knot points. This model produced a minimum GCV value of 44.46 and the value of determination coefficient of 58.627%. The parameter test showed that all factors used were significantly influence the National Examination Score for Senior High School students in West Lombok Regency year 2017. The variables were as follows: National Examination Score of Junior High School; School or Madrasah Examination Score; the value of Student’s Report Card; Student’s House Distance to School; and Number of Student’s Siblings.
CURVE ESTIMATION AND ESTIMATOR PROPERTIES OF THE NONPARAMETRIC REGRESSION TRUNCATED SPLINE WITH A MATRIX APPROACH NURUL FITRIYANI; I NYOMAN BUDIANTARA
E-Jurnal Matematika Vol 11 No 1 (2022)
Publisher : Mathematics Department, Faculty of Mathematics and Natural Sciences, Udayana University

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24843/MTK.2022.v11.i01.p362

Abstract

Regression analysis is one of the statistical analyses used to estimate the relationship between the predictor and the response variable. Data are given in pairs, and the relationship between the predictor and the response variable was assumed to follow a nonparametric regression model. This model is flexible in estimating the curve when a typical data pattern does not follow a specific pattern. The nonparametric regression curve was approached by using the truncated spline function with several knots. The truncated spline estimator in nonparametric regression is linear in the observation. It is highly dependent on the knot points. The regression model's random error is assumed to have an independent normal distribution with zero mean and equal variance. The truncated spline's curve estimate was obtained by minimizing the error model through the least squared optimization method. The nonparametric regression truncated spline's estimator properties are linear, unbiased, and if the error is normally distributed, the estimator is normally distributed.
Factor Extraction and Bicluster Analysis on Halal Destinations in Lombok Island Desy Komalasari; Mustika Hadijati; Nurul Fitriyani; Agus Kurnia
Jurnal Varian Vol 4 No 1 (2020)
Publisher : Universitas Bumigora

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30812/varian.v4i1.743

Abstract

Indonesia is one of the countries currently developing the concept of halal tourism. Halal tourism includes many variables that are related to each other, which need to be grouped into several main factors that affect tourist visits. This study was conducted to group the variables associated with halal tourism visits to Lombok Island using factor analysis and to classify sub-districts and halal tourism destinations on Lombok Island using the Plaid Bicluster algorithm. Based on the analysis using the main component extraction technique in factor analysis with varimax rotation, it can be concluded that the 9 halal tourism characteristic variables can be grouped into 2 main factors. Furthermore, by using the Plaid Bicluster algorithm, 2 Bicluster were produced. There were 7 sub-districts and 9 destinations formed in Bicluster I, and 8 sub-districts and 3 destinations formed in Bicluster II.
Spline and Kernel Mixed Nonparametric Regression for Malnourished Children Model in West Nusa Tenggara Muhammad Sopian Sauri; Mustika Hadijati; Nurul Fitriyani
Jurnal Varian Vol 4 No 2 (2021)
Publisher : Universitas Bumigora

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30812/varian.v4i2.1003

Abstract

Health sector development is essential to improve human life quality, especially in West Nusa Tenggara (NTB) Province. Based on data from the NTB Provincial Health Office from 2011 to 2016, children under five suffering from malnutrition continued to increase, caused by several factors that affected the incident. Therefore, appropriate analysis is needed to model children who suffer from malnutrition in NTB Province in 2016, consisting of 10 districts based on the variables that influence it. The analysis in this study was carried out using a nonparametric regression mixed-model spline truncated and kernel. The estimation of the nonparametric regression curve depends on the optimal knot points and bandwidths parameter. Therefore, in determining the optimal knot points and bandwidths obtained from Generalized Cross-Validation (GCV). Based on the analysis that has been done, we obtained a nonparametric regression mixed-model spline truncated and kernel optimal knot points, such as for each variable and optimum bandwidths, such as and , with the value of GCV. The mixed model acquired has a good model by considering the values of and MSE. Besides, the MAPE value indicated a high degree of accuracy, so that the model obtained has an excellent forecast.
Estimasi Parameter Model Moving Average Orde 1 Menggunakan Metode Momen dan Maximum Likelihood Nirwana Nirwana; Mustika Hadijati; Nurul Fitriyani
Eigen Mathematics Journal Vol 1 No 1 Juni 2018
Publisher : University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (352.181 KB) | DOI: 10.29303/emj.v1i1.8

Abstract

Autoregressive Integrated Moving Average is a model that commonly used to model time series data. One model that can be modeled is Moving Average (MA). In this study, the estimation of parameters was performed to produce the model estimator parameter, where if the order component of the MA model is known, then the methods that can be used are the Ordinary Least Square (OLS) method, Moment method, and Maximum Likelihood method. But in fact, there are often assumption deviations when using the OLS method, one of which occurs heteroscedasticity (variant is not constant) which is produce a poor estimator. This study used both Moment and Maximum Likelihood method in estimating the parameter of the 1st Moving Average model, denoted by MA (1). The result showed that MA (1) parameter model using Moment method gave better result than Maximum Likelihood method. This can be seen from the value of Schwartz Bayesian Criterion (SBC) of both Moment and Maximum Likelihood method parameter estimator with magnified amount of data and various parameters values generated.
Small Area Estimation Jumlah Penderita Penyakit TBC di Kabupaten Lombok Timur Menggunakan Metode Empirical Bayes Muslimatun Toyyibah; Desy Komalasari; Nurul Fitriyani
Eigen Mathematics Journal 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.
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.