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All Journal Union: Jurnal Ilmiah Pendidikan Matematika Theta: Journal of Statistics
Isnaini Mahuda
Universitas Sultan Ageng Tirtayasa
Education Mathematics

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Analysis of Gojek Service User Segmentation Among FT UNTIRTA Students Using the RFM Method Dinda Dwi Anugrah Pertiwi; Regina Dwirahma Alisya; Andhika Muhamad Ichsan; Faula Arina; Isnaini Mahuda
Theta: Journal of Statistics Vol 2, No 1 (2026): Available Online in March 2026
Publisher : Faculty of Engineering, Univesitas Sultan Ageng Tirtayasa

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62870/tjs.v2i1.39312

Abstract

The development of transportation and application-based services highlights the importance of user behavior analysis as a basis for data-driven marketing strategies. This study analyzes the segmentation of GOJEK service users (GoRide, GoCar, and GoFood) among students of the Faculty of Engineering, Sultan Ageng Tirtayasa University (FT UNTIRTA) using the Recency, Frequency, and Monetary (RFM) approach. Primary data were collected through questionnaires distributed to 105 active GOJEK users using purposive sampling. Data were analyzed through pre-processing, standardization, determination of the optimal number of clusters using the Elbow method, and clustering using the K-Medoids algorithm, which was selected over K-Means and K-Median due to its robustness against outliers, suitability for non-normally distributed RFM data, and use of actual data points as cluster centers for more interpretable segmentation results. The results showed that the optimal number of clusters for each service was three, classified as loyal, active, and passive customers. In GoRide, the distribution was 15 loyal, 32 active, and 16 passive users; in GoCar, 16 loyal, 10 active, and 35 passive users; and in GoFood, 25 loyal, 1 active, and 52 passive users. Loyal clusters are characterized by low recency and high frequency and monetary values, active clusters show medium usage rates, and passive clusters exhibit low frequency and transaction values. These results demonstrate that the RFM and K-Medoids combination is effective in identifying behavioral differences among GOJEK users, as validated by the Silhouette Score and Davies-Bouldin Index confirming cluster compactness and separation quality, and can serve as a basis for formulating more targeted marketing strategies in the student environment.
Application of the TARCH Model for Stock Price Prediction: Evidence from PT Bank Rakyat Indonesia (BRI) Tbk Putri Dina Sari; Faula Arina; Aulia Ikhsan; Isnaini Mahuda; Syarif Abdullah; Patricia Pingkan Kumenap; Regina Dwirahma Alisya
Theta: Journal of Statistics Vol 1, No 2 (2025): Available Online in September 2025
Publisher : Faculty of Engineering, Univesitas Sultan Ageng Tirtayasa

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.62870/tjs.v1i2.35930

Abstract

Stock price volatility is a crucial aspect in capital market analysis because it can influence investment decisions. The GARCH model is commonly used to model volatility, but this model assumes that positive and negative shocks affect volatility symmetrically. In practice, particularly in banking stocks, asymmetric effects are often observed, with negative shocks having a greater impact on volatility than positive shocks. To address this issue, this study uses the Threshold ARCH (TARCH) model, which is capable of capturing asymmetric effects. The research data consists of the daily closing prices of PT Bank Rakyat Indonesia (BRI) Tbk shares from January 2, 2015, to September 12, 2025. The results show that the TARCH model is more appropriate than the symmetric GARCH model, as the asymmetry coefficient is significant, indicating the presence of leverage in BRI shares. Therefore, the TARCH model can be used to forecast BRI stock volatility and provide more accurate information for investors and analysts in anticipating market risks.
Assemblr Edu AR-GeoGebra: Development of three-dimensional shapes material in junior high school on students' Junariah Junariah; Anton Nasrullah; Isnaini Mahuda; Ratu Khoirotun Nisa; Silvia Ratnasari; Mohamad Basri Nadzeri
UNION : Jurnal Ilmiah Pendidikan Matematika Vol 14 No 1 (2026)
Publisher : Universitas Sarjanawiyata Tamansiswa

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30738/union.v14i1.22240

Abstract

This study aims to develop and evaluate Augmented Reality (AR) integrated with GeoGebra learning media to enhance students’ conceptual understanding and learning interest in three-dimensional shapes at the junior high school level. This research employed a Research and Development (R&D) approach using the 4-D model (Define, Design, Develop, and Disseminate). The study involved 29 ninth-grade students at a state junior high school in Cilegon, Banten, Indonesia. Data were collected through validation questionnaires, student response surveys, and conceptual understanding tests (pretest–posttest). The results showed that the developed learning media achieved high validity, with scores of 85% for media validation and 82% for material validation. The practicality level was also high, with a student response score of 89.2%, indicating that the media was easy to use and engaging. In terms of effectiveness, students’ conceptual understanding improved, as indicated by an increase in the average score from 60 (pretest) to 80 (posttest), with a gain score of 0.67 (moderate category). Additionally, students’ learning interest increased from the “fair” category to the “good” category. These findings indicate that AR-GeoGebra-based learning media has the potential to improve students’ conceptual understanding and learning interest in three-dimensional shapes. However, the results should be interpreted cautiously due to the limited sample size and the absence of inferential statistical testing. Therefore, further studies with larger samples and more rigorous analysis are recommended.
Co-Authors Andhika Muhamad Ichsan Anton Nasrullah, Anton Arina, Faula Aulia Ikhsan Dinda Dwi Anugrah Pertiwi Junariah Junariah Mohamad Basri Nadzeri Patricia Pingkan Kumenap Putri Dina Sari Ratu Khoirotun Nisa Regina Dwirahma Alisya Regina Dwirahma Alisya Silvia Ratnasari Syarif Abdullah