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Made Ayu Dwi Octavanny
Universitas Udayana
Mathematics

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ANALISIS KUANTITATIF KECELAKAAN LALU LINTAS DI AMERIKA SERIKAT PADA TAHUN 2000-2023 MENGGUNAKAN STATISTICAL QUALITY CONTROL IDA AYU OKTAVIANTI; ZAKIA ALYA ALYA ROSYDA; KEZIA BRILLIANT NAZARENA; NI WAYAN RUSNIATI; MADE AYU DWI OCTAVANNY
E-Jurnal Matematika Vol. 14 No. 4 (2025)
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.2025.v14.i04.p493

Abstract

Traffic accidents are a critical issue in road safety and public health in the United States. This study examines the patterns and statistical stability of annual traffic accidents from 2000 to 2023 using a Statistical Quality Control (SQC) approach. Secondary data were obtained from official publications of the National Highway Traffic Safety Administration (NHTSA), including accident severity, numbers of fatalities and injuries, population size, and risk indicators. The analysis employed five of the seven basic SQC tools, namely check sheets, histograms, Pareto diagrams, control charts (p-charts and u-charts), and cause-and-effect diagrams. The results show that property damage only accidents dominate total crash occurrences, while fatal crashes represent a small proportion but lead to significant loss of life. Control chart analysis indicates statistical instability in the proportion of fatal crashes and fatality rates, suggesting the presence of special causes rather than random variation. Overall, the findings highlight the usefulness of SQC as an effective tool for monitoring traffic safety performance and identifying critical variations requiring targeted interventions.
ANALISIS PENGENDALIAN CACAT PRODUK TELUR AYAM MENGGUNAKAN STATISTICAL QUALITY CONTROL DI BRAM FARM EVA KOSASIH; ALEN VIKTORIA BRIA; NI NYOMAN AYU NIRMALA LUKITA; NI PUTU SINTYA ARTA DEWI; MADE AYU DWI OCTAVANNY
E-Jurnal Matematika Vol. 14 No. 4 (2025)
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.2025.v14.i04.p492

Abstract

This study aims to analyze the quality control of chicken egg production at Bram Farm by applying Statistical Quality Control (SQC) tools to identify the level and types of defects that occur during the production process. Quantitative data were obtained from primary documentation through daily records collected over a 14-day observation period, consisting of the total number of eggs produced and the number of defective eggs categorized into specific defect types. Qualitative data were collected through direct observations and unstructured interviews with the farm owner to validate statistical findings and explore operational factors causing defects. The analysis employs three main SQC tools: the check sheet to record defect occurrences, the Pareto diagram to identify dominant defect categories, and the p-chart to evaluate the statistical stability of the production process. The results show that cracked eggs, thin-shelled eggs, and broken eggs are the dominant defects contributing to the overall defect rate. The p-chart indicates that all daily defect proportions fall within the control limits, demonstrating that the production process was statistically stable. These findings suggest that quality control at Bram Farm is effective, although improvement efforts should focus on the dominant defect categories to enhance production quality further.
Co-Authors ALEN VIKTORIA BRIA EVA KOSASIH IDA AYU OKTAVIANTI KEZIA BRILLIANT NAZARENA NI NYOMAN AYU NIRMALA LUKITA NI PUTU SINTYA ARTA DEWI NI WAYAN RUSNIATI ZAKIA ALYA ALYA ROSYDA