Research Article | | Peer-Reviewed

Comparative Analysis of ARIMA, SARIMA and Prophet Model in Forecasting

Received: 7 September 2024     Accepted: 24 September 2024     Published: 18 October 2024
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Abstract

Machine learning has become a powerful tool in forecasting, offering greater accuracy than traditional human predictions in today’s data-driven world. The capability of machine learning to predict future trends has significant implications for key sectors such as finance, healthcare, and supply chain management. In this study, ARIMA/SARIMA (AutoRegressive Integrated Moving Average/Seasonal AutoRegressive Integrated Moving Average), alongside Prophet, a scalable forecasting tool developed by Facebook based on a generalized additive model, are considered. These models are applied to predict the demand for antidiabetic drugs. The records were collected by the Australian Health Insurance Commission. This dataset was sourced from Medicare Australia. The study evaluates the performance of these models based on their Mean Absolute Error (MAE), a key metric for assessing forecast accuracy. Root Mean Squared Error (RMSE) and Mean Absolute Percentage Error (MAPE) are also considered. The outcome of the comparative analysis shows that the Prophet model outperformed both ARIMA and SARIMA models, achieving an MAE of 0.74, which is significantly lower than the MAE values of 2.18 and 3.02 obtained by SARIMA and ARIMA, respectively. Prophet's superior performance shows its effectiveness in handling complex, non-linear trends and seasonal patterns often observed in real-world time series data. This research contributes to the growing knowledge of machine learning-based forecasting and shows the importance of advanced models like Prophet in optimizing business operations and driving innovation. The findings from this research offer valuable guidance for data experts, analysts, and researchers in selecting the best forecasting methods for reliable predictions.

Published in Research & Development (Volume 5, Issue 4)
DOI 10.11648/j.rd.20240504.13
Page(s) 110-120
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

AutoRegressive Integrated Moving Average (ARIMA), Seasonal AutoRegressive Integrated Moving Average (SARIMA), Mean Absolute Percentage Error (MAPE), Prophet, Time Series Forecasting, Comparative Analysis

References
[1] Bharatpur, A. S., A LITERATURE REVIEW ON TIME SERIES FORECASTING METHODS. 2022.
[2] Taylor, S. J. and B. Letham, Forecasting at Scale. PeerJ Preprints, 27 Sept. 2017.
[3] Yenidogan, I., et al., Bitcoin Forecasting Using ARIMA and PROPHET, in 2018 3rd International Conference on Computer Science and Engineering (UBMK). 2018. p. 621-624.
[4] Khashei, M., M. Bijari, and S. R. Hejazi, Combining seasonal ARIMA models with computational intelligence techniques for time series forecasting. Soft Computing, 2012. 16(6): p. 1091-1105.
[5] F. V. Ferdinand, T. H. Santoso and K. V. I. Saputra, "Performance Comparison Between Facebook Prophet and SARIMA on Indonesian Stock," 2023 IEEE International Conference on Industrial Engineering and Engineering Management (IEEM), Singapore, Singapore, 2023, pp. 1-5,
[6] Wang Y, Yan Z, Wang D, Yang M, Li Z, Gong X, Wu D, Zhai L, Zhang W, Wang Y. Prediction and analysis of COVID-19 daily new cases and cumulative cases: times series forecasting and machine learning models. BMC Infect Dis. 2022 May 25; 22(1): 495.
[7] Christophorus Beneditto Aditya Satrio, William Darmawan, Bellatasya Unrica Nadia, Novita Hanafiah, Time series analysis and forecasting of coronavirus disease in Indonesia using ARIMA model and PROPHET, Procedia ComputerScience, Volume 179, 2021, Pages 524-532, ISSN1877-0509,
[8] Peixeiro, M. S. a. S., Time Series Forecasting in Python. 15 Nov. 2022.
[9] Ali Hussein, Hussein, Mukhtar M. E. Mahmoud, and Haroun A. Eisa. 2023. “Performance Evaluation of ARIMA and FB-Prophet Forecasting Methods in the Context of Endemic Diseases: A Case Study of Gedaref State in Sudan”. EAI Endorsed Transactions on Smart Cities 7(2): e1.
[10] Botchkarev, A., A New Typology Design of Performance Metrics to Measure Errors in Machine Learning Regression Algorithms. Interdisciplinary Journal of Information, Knowledge, and Management, 2019. 14: p. 045-076.
[11] Vogt, M. R., Peter & Lauster, Moritz & Fuchs, Marcus & Mueller, Dirk., Selecting statistical indices for calibrating building energy models. Building and Environment. S144.
[12] Hodson, Timothy O. (2022). Root-mean-square error (RMSE) or mean absolute error (MAE): when to use them or not. Geoscientific Model Development. 15. 5481-5487.
[13] Nain N and Behera G 2019 A Comparative Study of Big Mart Sales Prediction 4th International Conference on Computer Vision and Image Processing (Jaipur: MNIT) p 4.
[14] Vandeput, N. (2023, September 27). Forecast KPI: RMSE, MAE, MAPE & BiAS | Towards Data Science. Medium.
Cite This Article
  • APA Style

    Kwarteng, S. B., Andreevich, P. A. (2024). Comparative Analysis of ARIMA, SARIMA and Prophet Model in Forecasting. Research & Development, 5(4), 110-120. https://doi.org/10.11648/j.rd.20240504.13

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    ACS Style

    Kwarteng, S. B.; Andreevich, P. A. Comparative Analysis of ARIMA, SARIMA and Prophet Model in Forecasting. Res. Dev. 2024, 5(4), 110-120. doi: 10.11648/j.rd.20240504.13

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    AMA Style

    Kwarteng SB, Andreevich PA. Comparative Analysis of ARIMA, SARIMA and Prophet Model in Forecasting. Res Dev. 2024;5(4):110-120. doi: 10.11648/j.rd.20240504.13

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  • @article{10.11648/j.rd.20240504.13,
      author = {Samuel Baffoe Kwarteng and Poguda Aleksey Andreevich},
      title = {Comparative Analysis of ARIMA, SARIMA and Prophet Model in Forecasting
    },
      journal = {Research & Development},
      volume = {5},
      number = {4},
      pages = {110-120},
      doi = {10.11648/j.rd.20240504.13},
      url = {https://doi.org/10.11648/j.rd.20240504.13},
      eprint = {https://article.sciencepublishinggroup.com/pdf/10.11648.j.rd.20240504.13},
      abstract = {Machine learning has become a powerful tool in forecasting, offering greater accuracy than traditional human predictions in today’s data-driven world. The capability of machine learning to predict future trends has significant implications for key sectors such as finance, healthcare, and supply chain management. In this study, ARIMA/SARIMA (AutoRegressive Integrated Moving Average/Seasonal AutoRegressive Integrated Moving Average), alongside Prophet, a scalable forecasting tool developed by Facebook based on a generalized additive model, are considered. These models are applied to predict the demand for antidiabetic drugs. The records were collected by the Australian Health Insurance Commission. This dataset was sourced from Medicare Australia. The study evaluates the performance of these models based on their Mean Absolute Error (MAE), a key metric for assessing forecast accuracy. Root Mean Squared Error (RMSE) and Mean Absolute Percentage Error (MAPE) are also considered. The outcome of the comparative analysis shows that the Prophet model outperformed both ARIMA and SARIMA models, achieving an MAE of 0.74, which is significantly lower than the MAE values of 2.18 and 3.02 obtained by SARIMA and ARIMA, respectively. Prophet's superior performance shows its effectiveness in handling complex, non-linear trends and seasonal patterns often observed in real-world time series data. This research contributes to the growing knowledge of machine learning-based forecasting and shows the importance of advanced models like Prophet in optimizing business operations and driving innovation. The findings from this research offer valuable guidance for data experts, analysts, and researchers in selecting the best forecasting methods for reliable predictions.
    },
     year = {2024}
    }
    

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    AU  - Samuel Baffoe Kwarteng
    AU  - Poguda Aleksey Andreevich
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    AB  - Machine learning has become a powerful tool in forecasting, offering greater accuracy than traditional human predictions in today’s data-driven world. The capability of machine learning to predict future trends has significant implications for key sectors such as finance, healthcare, and supply chain management. In this study, ARIMA/SARIMA (AutoRegressive Integrated Moving Average/Seasonal AutoRegressive Integrated Moving Average), alongside Prophet, a scalable forecasting tool developed by Facebook based on a generalized additive model, are considered. These models are applied to predict the demand for antidiabetic drugs. The records were collected by the Australian Health Insurance Commission. This dataset was sourced from Medicare Australia. The study evaluates the performance of these models based on their Mean Absolute Error (MAE), a key metric for assessing forecast accuracy. Root Mean Squared Error (RMSE) and Mean Absolute Percentage Error (MAPE) are also considered. The outcome of the comparative analysis shows that the Prophet model outperformed both ARIMA and SARIMA models, achieving an MAE of 0.74, which is significantly lower than the MAE values of 2.18 and 3.02 obtained by SARIMA and ARIMA, respectively. Prophet's superior performance shows its effectiveness in handling complex, non-linear trends and seasonal patterns often observed in real-world time series data. This research contributes to the growing knowledge of machine learning-based forecasting and shows the importance of advanced models like Prophet in optimizing business operations and driving innovation. The findings from this research offer valuable guidance for data experts, analysts, and researchers in selecting the best forecasting methods for reliable predictions.
    
    VL  - 5
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Author Information
  • Faculty of Innovation Technology, National Research Tomsk State University, Tomsk State, Russian Federation

  • Faculty of Innovation Technology, National Research Tomsk State University, Tomsk State, Russian Federation

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