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Modeling of Economic Growth Rate in West Nusa Tenggara Province with Longitudinal Kernel Nonparametric Regression Zulhan Widya Baskara; Rizaldi, Muhammad; Fitriyani, Nurul; Baskara, Zulhan Widya
Eigen Mathematics Journal Vol 7 No 1 (2024): June
Publisher : University of Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/emj.v7i1.188

Abstract

Economic growth can indicate the success of economic development in people's lives, so it is essential to study the relationship between economic growth and factors that affect economic growth. Regression analysis is one of the most widely used statistical data analysis methods to determine the relationship pattern between the independent and dependent variables. Three methods can be used to estimate the regression curve, one of which is nonparametric regression. Economic growth data is one form of longitudinal data, with observations of independent subjects, with each subject being observed repeatedly over different periods. Kernel nonparametric regression model applications can be used for longitudinal data. This research aims to estimate the curve and get the best regression model. In this research, the smoothing technique chosen to estimate the nonparametric regression model for longitudinal data is the kernel triangle estimator, which can be obtained by minimizing the square of error using Weighted Least Squares (WLS) and selecting the optimum bandwidth using the Generalized Cross Validation (GCV) method. This study uses the economic growth rate in West Nusa Tenggara as the dependent variable and the human development index, population density, general allocation funds, local revenue, and labor force participation as independent variables. The result showed that the model is less accurate because of the low value of the coefficient for determination and the high value of the mean absolute percentage error (MAPE). This can be caused by the selection of bandwidth intervals that are too small.
UPAYA PENINGKATAN MINAT BELAJAR MATEMATIKA SISWA Zulhan Widya Baskara; Salwa, Salwa; Abdurahim, Abdurahim; Awalushaumi, Lailia; Marwan, Marwan; Aini, Qurratul; Robbaniyyah, Nuzla Af’idatur; Alfian, Muhammad Rijal; Baskara, Zulhan Widya; Rusadi, Tri Maryono; Syechah, Bulqis Nabula; Wardana, I Gede Adhitya Wisnu; Choirunnisa, Fajarani
Jurnal Pepadu Vol 5 No 3 (2024): Jurnal PEPADU
Publisher : Universitas Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/pepadu.v5i3.5870

Abstract

Berbagai faktor dapat mempengaruhi rendahnya minat siswa dalam belajar matematika, diantaranya adalah metode pembelajaran yang dilakukan guru saat mengajar, keterbatasan sarana prasarana pembelajaran, motivasi dari guru, dan dukungan orang tua siswa. keingintahuan siswa berupa materi yang menarik, penjelasan guru yang mudah dipahami akan menjadikan matematika menjadi mata pelajaran favorit, mengingat pentingnya pemahaman konsep dasar matematika di tingkat sekolah, khususnya SMA, maka perlu adanya upaya untuk meningkatkan minat belajar matematika. Dalam hal ini, upaya yang dilakukan melalui media cerita tentang paradoks dan temuan tokoh-tokoh matematika yang dimanfaatkan untuk membantu memudahkan kehidupan manusia, diharapkan bisa menumbuhkan keinginan mengetahui palajaran matematika sehingga menumbuhkan minat belajar matematika siswa. Pengabdian dilaksanakan pada tanggal 8 Juni 2024 yang dialaksanakan melalui tahapan penyusunan materi palatihan, FGD, memberikan pre test, memberikan materi serta memberikan post test setelah diberikannya materi. Hasil yang diperoleh adalah dari 10 item pertanyaan, terdapat 8 pertanyaan yang jawabannya positif dan 2 lainnya jawabannya negatif. Sebagian besar responden setuju (52.57%) atau sangat setuju (38.97%) dengan pertanyaan yang masuk dalam golongan positif, hal ini menunjukkan bahwa mayoritas responden memiliki pandangan yang positif terhadap topik yang ditanyakan. Jadi dapat disimpulkan bahwa hasil post test menunjukkan bahwa intervensi atau pelatihan yang dilakukan efektif dalam meningkatkan pandangan positif responden.
Pemodelan Status Pengguna Keluarga Berencana (KB) Di Kota Mataram Menggunakan Metode Regresi Probit Biner Zulhan Widya Baskara; Baskara, Zulhan Widya; Purnamasari, Nur Asmita; Angriani, Baiq Milla
JURNAL DIFERENSIAL Vol 7 No 1 (2025): April 2025
Publisher : Program Studi Matematika, Universitas Nusa Cendana

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.35508/jd.v7i1.19532

Abstract

Status pengguna KB merupakan strategi penting dalam mengatur jarak antar kelahiran dan mencegah kehamilan yang tidak diinginkan. Program ini bertujuan untuk mengendalikan pertumbuhan populasi, mengurangi tingkat kelahiran, serta mengatur jarak antar kelahiran demi terciptanya keluarga yang sehat dan sejahtera. Status pengguna kontrasepsi dibedakan menjadi dua kategori: bukan pengguna dan pengguna kontrasepsi. Penelitian ini bertujuan untuk memodelkan status pengguna kontrasepsi di Kota Mataram menggunakan regresi probit biner, sekaligus menganalisis faktor-faktor berpengaruh secara signifikan. Data yang digunakan dalam penelitian ini adalah data status pengguna kontrasepsi di Kota Mataram tahun 2023 yang diperoleh dari Badan Pusat Statistika (BPS). Hasil penelitian menunjukkan bahwa faktor-faktor yang signifikan mempengaruhi status pengguna kontrasepsi di Kota Mataram meliputi usia istri, jenis pekerjaan istri, jenis pekerjaan suami, dan jumlah anak, dengan tingkat ketepatan klasifikasi sebesar 78.32%.
Optimalisasi Parameter Double Exponential Smoothing menggunakan Metode Golden Section pada Peramalan Harga Saham Penutupan PT. Telkom Indonesia (Persero) Zulhan Widya Baskara; Tajalli, Halawatun; Harsyiah, Lisa; Baskara, Zulhan Widya
Semeton Mathematics Journal Vol 1 No 1 (2024): April
Publisher : Program Studi Matematika

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/semeton.v1i1.205

Abstract

The process of predicting an event in the future is called forecasting. A forecasting model that functions to predict time series data with a trend pattern is Double Exponential Smoothing (DES). This study aims to compare one-parameter Brown DES with two-parameter Holt DES using the golden section method. The data used is monthly data on closing share prices of PT. Telkom Indonesia (Persero) for the period January 2011 - December 2021. Golden Section is an optimization method for finding parameter values that minimize the MAPE (Mean Absolute Percentage Error) function. The results of calculating the optimum parameter values for DES Brown α=0.420766 with a MAPE value of 4.871787804% and for DES Holt α=0.506578 and β=0.458980 with a MAPE value of 4.7233301647%. According to the MAPE value, the models used are very accurate for forecasting. DES Holt was selected as the best model for forecasting based on the smallest MAPE value.
A Analisis Faktor Yang Mempengaruhi Ketergantungan Penggunaan Chatgpt Pada Pengerjaan Tugas Mahasiswa Universitas Mataram Zulhan Widya Baskara; Arbyati, Asri Mustika; Apriliana, Baiq Nurul; Putri, Devi Karina; Aisya, Hakiki Latifa; Putri, Dina Eka; Baskara, Zulhan Widya
Semeton Mathematics Journal Vol 2 No 2 (2025): Oktober
Publisher : Program Studi Matematika

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/semeton.v2i2.299

Abstract

The use of artificial intelligence technology, such as ChatGPT, is increasing among students to support their academic assignments. However, dependence on this technology needs to be analyzed to understand the factors that influence it. This study aims to analyze the factors that influence the dependence on the use of ChatGPT in completing assignments of Mataram University students. Sampling was carried out using the quota sampling method, involving 98 respondents who were Mataram University students and ChatGPT users. The method used was multiple linear regression to evaluate the effect of independent variables on dependence, and factor analysis to identify the structure of these variables. Based on the results of the analysis, one main factor was found which was formed from four variables, namely ChatGPT Ease of Use, ChatGPT Reliability, User Satisfaction, and Perceived Benefits. This main factor was able to explain 71.73% of the total data variation, which showed a significant contribution to students' dependence on using ChatGPT. Thus, this study shows that these variables are interrelated and influence the level of students' dependence on ChatGPT in completing academic assignments.
Pengendalian Kualitas Produksi Air Minum Dalam Kemasan Menggunakan Peta Kendali Zulhan Widya Baskara; Halifatunnisa, Nur; Baskara, Zulhan Widya; Harsyiah, Lisa
Semeton Mathematics Journal Vol 1 No 2 (2024): Oktober
Publisher : Program Studi Matematika

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/semeton.v1i2.239

Abstract

The most popular drinking water product produced by PT.X is the 220 ml glass packaging product. This product experienced the most production defects at 0.086% of total production. Based on observations that have been made, there are several problems that cause defective products, such as damaged packaging and poor water quality. So PT.X in maintaining production quality must improve the process of maintaining quality control. The aim of this research is in line with the problems faced by PT.X, namely controlling the quality of bottled drinking water using a decision on belief control chart. Control charts are used to monitor whether product defect data is statistically controlled or not. One of the control charts used to monitor whether product defect data is statistically controlled or not is the Decision on Belief control chart, because the Decision on Belief control chart is more sensitive to data shifts so that faster in detecting data that goes outside control limits or is out of control. Based on the graph of the results of the decision on belief control chart, of the 25 data there are 24 data that are out of the upper control limit and the lower control limit, meaning that the decision on belief control chart is sensitive to data shifts in detecting out of control data. Based on the results of the average run length calculation, it is concluded that the decision on belief control chart is weak in detecting out of control data because the shift value obtained is getting bigger.
Pengendalian Kualitas Produksi Air Minum dalam Kemasan (AMDK) Menggunakan Diagram Kendali MCUSUM dan MEWMA Zulhan Widya Baskara; Sari, Kurnia Mahraini Kartika; Harsyiah, Lisa; Baskara, Zulhan Widya
Semeton Mathematics Journal Vol 2 No 2 (2025): Oktober
Publisher : Program Studi Matematika

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/semeton.v2i2.324

Abstract

Quality control in the water production process at PT. X is an essential activity to ensure the quality of packaged drinking water (AMDK) is fit for consumption. Therefore, the water quality of PT. X production must always be closely monitored. To guarantee the safety of drinking water, it must meet microbiological, radioactive, Physical, and chemical requirements according to the regulations stipulated in the Indonesian Ministry of Health Regulation Number 2 of 2023. Quality control is performed using MEWMA and MCUSUM control charts since these control charts can detect shifts in the process mean. The results of applying MCUSUM and MEWMA control charts indicate that the water production quality is statistically out of control. After monitoring, it was found that PH is the most influential variable causing out-of-control situations. An ARL test was conducted to obtain a control chart with the best performance, where a smaller ARL value indicates better sensitivity in detecting shifts in the process mean. The MCUSUM control chart outperforms the MEWMA control chart, with an ARL value of  and parameters  and , compared to ARL MEWMA of with weighting parameter  and .
Perbandingan Regresi Nonparametrik Kernel dan Spline pada Pemodelan Hubungan antara Rata-Rata Lama Sekolah dan Pengeluaran per Kapita di Indonesia Zulhan Widya Baskara; Syahrul, Muhammad; Amanda, Humami Syifa; Fahrani, Indi Rizqy; Yasmin, Yasmin; Purnamasari, Nur Asmita; Baskara, Zulhan Widya
Indonesian Journal of Applied Statistics and Data Science Vol. 1 No. 1 (2024): November
Publisher : Universitas Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/ijasds.v1i1.5725

Abstract

Poverty remains a major issue in developing countries, including Indonesia. In 2021, Indonesia’s poverty rate reached 10.14%, or approximately 27.5 million people (BPS). Poverty alleviation is a primary goal within the Sustainable Development Goals (SDGs). Two important indicators for measuring poverty are per capita expenditure and average years of schooling, which can aid in formulating policies to reduce poverty. This study analyzes the relationship between average years of schooling and per capita expenditure in 2023 using nonparametric regression methods, specifically kernel and spline regression. The kernel regression analysis yielded an optimal bandwidth of 0.860 and a minimum GCV of 0.574. However, the truncated spline method, with one optimal knot, a minimum GCV of 0.5263514 at the 3rd order, and the smallest MSE of 0.4097892, proved to be more accurate in describing the relationship between the two variables. The study concludes that the truncated spline method is superior in modeling the relationship between per capita expenditure and average years of schooling, providing valuable insights for policy formulation aimed at poverty alleviation in Indonesia.
Perbandingan Peramalan Jumlah Produksi Air Bersih PT. Air Minum Giri Menang dengan Metode Double Exponential Smoothing dari Holt dan Brown menggunakan Optimasi Algoritma Kuadratik Zulhan Widya Baskara; Pazira, Era; Aini, Qurratul; Zulhan Widya Baskara
Indonesian Journal of Applied Statistics and Data Science Vol. 1 No. 1 (2024): November
Publisher : Universitas Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/ijasds.v1i1.5793

Abstract

Regional Water Supply Companies (PDAM) play a crucial role in ensuring the availability of clean and consumable water. This study aims to compare the Double Exponential Smoothing (DES) methods—Brown’s one-parameter and Holt’s two-parameter—for forecasting the clean water production of PT. Air Minum Giri Menang (Perseroda), emphasizing parameter optimization using a quadratic algorithm. The algorithm efficiently determines the optimal smoothing parameters to minimize forecasting errors measured by the Mean Absolute Percentage Error (MAPE). The results indicate that Brown’s DES method, with a MAPE of 3.29%, outperforms Holt’s DES method, which has a MAPE of 3.96%. While both methods are highly accurate for forecasting (MAPE ≤ 10%), the quadratic algorithm optimization makes Brown’s DES method the preferred choice for planning clean water production for the January–June 2023 period.
Faktor-Faktor yang Memengaruhi Minat Belanja Mahasiswa Kota Mataram pada Live Produk di Tiktok dan Shopee Zulhan Widya Baskara; Graha, Syifa Salsabila Satya; Istiqomah, Nisa Ul; Wulandari, Ika; Asmawati, Ismi; Baskara, Zulhan Widya; Putri, Dina Eka
Indonesian Journal of Applied Statistics and Data Science Vol. 2 No. 1 (2025): Mei
Publisher : Universitas Mataram

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.29303/ijasds.v2i1.6913

Abstract

The development of live shopping on the Shopee and TikTok platforms has changed consumer shopping behavior, including students in Mataram City. This study has two main objectives. The first objective is to identify eight independent variables that influence college students' shopping interest when Live shopping on the two platforms, which are analyzed using multiple linear regression. The second objective was to examine the relationship between shopping decisions and shopping interest using correlation analysis, which focused specifically on these two variables due to their significant relationship in the context of consumer action. Data was collected through a questionnaire that was tested for validity and reliability, with a Cronbach's Alpha value of 0.95 which indicates a high level of consistency. The results of the classical assumption test show that the model meets the assumption of multicollinearity, but does not meet the assumptions of normality and homogeneity. Multiple linear regression shows an R value of 0.75, which indicates a strong relationship between the independent variables and the shopping interest of respondents. Substantial factors that influence shopping interest include interaction and engagement, product quality and variety, and shopping satisfaction when Live. Meanwhile, price, influencer participation, time constraints, gender, and platform did not show a substantial influence.
Co-Authors Abdul Muiz Abdurahim, Abdurahim Aisya, Hakiki Latifa Amanda, Humami Syifa Amini, Elsa Angriani, Baiq Milla Anindita SHM Kusuma Apriliana, Baiq Nurul Arbyati, Asri Mustika Asih Priyati Asmawati, Ismi Choirunnisa, Fajarani Desy Komalasari Dewa Nyoman Adi Paramartha Dina Eka Putri Dina Eka Putri Dina Eka Putri Dito Anurogo, Dito Dwi Putra, Guyup Mahardian Eka Putri, Dina Era Pazira Fadhilah, Rifdah Fahrani, Indi Rizqy Fara Fid Fauzi, Meilinda Fitriani, Fenny Gangga Anuraga Graha, Syifa Salsabila Satya Hadijati, Mustika Halifatunnisa, Nur Hani Brilianti Rochmanto Harsyiah, Lisa Helmina Andriani Hidayat, Agriananta Fahmi Hidayatullah, Azka Farris Humami Syifa Amanda Ika Wulandari Ika Wulandari Indi Rizqy Fahrani Ismi Asmawati Istiqomah, Nisa Ul Jurnal Pepadu Jurniati, Jurniati Khairun Nisa Khoryanton, Ampala Kurniawan, Hary Lailia Awalushaumi, Lailia Lilik Hidayati, Lilik Maharani, Andika Ellena Saufika Hakim Marwan Marwan Muhamad Ikhsan Febriyanto Mbele Muhammad Rijal Alfian Muhammad Syahrul Musfita, Nurul Mustika Hadijati Nanang Apriandi Nisa Ul Istiqomah Nur Asmita Purnamasari Nurul Fitriyani Nurul Fitriyani Nurwahyuni Indah Nurwahyuni Pazira, Era PURNAMASARI, NUR ASMITA Putri, Devi Karina Qabul Dinanta Utama Qudsi, Jihadil Qurratul Aini Qurratul Aini Ramadhan, Hikmal Maulana Ramdhani, Triana Putri Rani Raharjanti Rio Satriyantara Rizaldi, Muhammad Rizka Okta Dini Robbaniyyah, Nuzla Af'idatur Robbaniyyah, Nuzla Af’idatur Rucitra Widyasari Rucitra Widyasari Salwa Salwa Sari, Kurnia Mahraini Kartika Sirajuddin Haji Abdullah Surya Abdul Muttalib, Surya Abdul Suryatin, Evatia syahrul, muhammad Syamsul Bahri Syechah, Bulqis Nabula Syifa Salsabila Satya Graha Tajalli, Halawatun Tri Isti Rahayu Tri Maryono Rusadi Ulfaturrahmi, Ulfaturrahmi Wardana, I Gede Adhitya Wisnu Widhiantari, Ida Ayu Wiharyani Werdiningsih Yanuar Mahfudz Safarudin Yasmin Yasmin Yasmin Yasmin Yeni Sulastri Yusuf Dewantoro Herlambang Zohrah, Baiq Siti Patimah Zulfikar, Wahyudi