APPLICATION OF THE PRINCIPAL COMPONENT ANALYSIS-VECTOR AUTOREGRESSIVE INTEGRATED (PCA-VARI) MODEL TO FORECASTING ECONOMIC GROWTH IN INDONESIA

  • Aulia Rahman Al Madani Magister of Applied Statistics, Faculty of Mathematics and Natural Sciences, Universitas Padjadjaran, Indonesia https://orcid.org/0009-0003-8158-7965
  • Sandrina Najwa Magister of Applied Statistics, Faculty of Mathematics and Natural Sciences, Universitas Padjadjaran, Indonesia https://orcid.org/0009-0009-9014-8124
  • Budi Nurani Ruchjana Department of Mathematics, Faculty of Mathematics and Natural Sciences, Universitas Padjadjaran, Indonesia https://orcid.org/0000-0001-7580-604X
Keywords: Economic Growth, Forecasting, Macroeconomic Indicator, PCA-VARI, Time Series

Abstract

Indonesia's economic growth has undergone significant fluctuations in recent years, driven by global shocks such as the 2020 COVID-19 pandemic, the 2013 taper tantrum, and the 2022 global energy crisis. These events underscore the urgent need for more accurate and robust forecasting models to support economic stability and policymaking. This study applies the Principal Component Analysis-Vector Autoregressive Integrated (PCA-VARI) model to forecast economic growth in Indonesia. PCA reduces seven economic variables into two principal components for ten years (2012-2022). The results show that the first component (PC1) shows the highest correlation with the variables of Money Supply, BI Rate, and Foreign Exchange Reserves, which reflect monetary policy and financial stability. Meanwhile, the second component (PC2) is highly correlated to the GDP Index, Exchange Rate, and Inflation variables, which reflect macroeconomic conditions. VARI, as a non-stationary multivariate time series model, is used to model the relationship between these components, with the third-order lag selected as the optimal lag based on the Akaike Information Criterion (AIC), Hannan-Quinn Criterion (HQ), and Final Prediction Error (FPE) values. The results show that the PCA-VARI(3) model is able to provide highly accurate forecasting with a MAPE of 1.21% for PC1 and 1.34% for PC2, and has met all the necessary model assumptions.

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References

C. Seftarita, Ferayanti, Fitriyani, and A. Diana, “DO PANDEMIC COVID 19 AND BUSINESS CYCLE INFLUENCE THE INDONESIA COMPOSITE INDEX?,” in E3S Web of Conferences, EDP Sciences, Jan. 2022.doi: https://doi.org/10.1051/e3sconf/202234005004

Badan Pusat Statistik, BERITA RESMI STATISTIK: PERTUMBUHAN EKONOMI INDONESIA TRIWULAN IV-2022. Jakarta: Badan Pusat Statistik, 2022.

R. Pardede and S. Zahro, “SAVING NOT SPENDING: INDONESIA’S DOMESTIC DEMAND PROBLEM,” Bull Indones Econ Stud, vol. 53, no. 3, pp. 233–259, Sep. 2017.doi: https://doi.org/10.1080/00074918.2017.1434928

OECD, OECD Economic Outlook. Paris: OECD Publishing, 2016.

Asian Development Bank, Meeting Asia’s Infrastructure Needs. Philippines: Asian Development Bank, 2017.

J. Mota, A. Moreira, and A. Alves, “Impact of export promotion programs on export performance,” Economies, vol. 9, no. 3, Sep. 2021.doi: https://doi.org/10.3390/economies9030127

Y. Xie, T. Wang, J. Kim, K. Lee, and M. K. Jeong, “LEAST ANGLE SPARSE PRINCIPAL COMPONENT ANALYSIS FOR ULTRAHIGH DIMENSIONAL DATA,” Ann Oper Res, 2024.doi: https://doi.org/10.1007/s10479-024-06428-0

S. Wulandary, “VECTOR AUTOREGRESSIVE INTEGRATED (VARI) METHOD FOR FORECASTING THE NUMBER OF INTERNASIONAL VISITOR IN BATAM AND JAKARTA,” Jurnal Matematika, Statistika & Komputasi, vol. 17, no. 1, pp. 94–108, 2020.doi: https://doi.org/10.20956/jmsk.v17i1.10536

F. Tan and Z. Lu, “STUDY ON THE INTERACTION AND RELATION OF SOCIETY, ECONOMY AND ENVIRONMENT BASED ON PCA-VAR MODEL: AS A CASE STUDY OF THE BOHAI RIM REGION, CHINA,” Ecol Indic, vol. 48, pp. 31–40, 2015.doi: https://doi.org/10.1016/j.ecolind.2014.07.036

S. Mamipour, M. Yahoo, and S. Jalalvandi, “AN EMPIRICAL ANALYSIS OF THE RELATIONSHIP BETWEEN THE ENVIRONMENT, ECONOMY, AND SOCIETY: RESULTS OF A PCA-VAR MODEL FOR IRAN,” Ecol Indic, vol. 102, pp. 760–769, Jul. 2019.doi: https://doi.org/10.1016/j.ecolind.2019.03.039

D. Munandar, B. N. Ruchjana, and A. S. Abdullah, “PRINCIPAL COMPONENT ANALYSIS-VECTOR AUTOREGRESSIVE INTEGRATED (PCA-VARI) MODEL USING DATA MINING APPROACH TO CLIMATE DATA IN THE WEST JAVA REGION,” BAREKENG: Jurnal Ilmu Matematika dan Terapan, vol. 16, no. 1, pp. 099–112, Mar. 2022.doi: https://doi.org/10.30598/barekengvol16iss1pp099-112

R. A. Johnson and D. W. Wichern, APPLIED MULTIVARIATE STATISTICAL ANALYSIS, Sixth Edition. Upper Saddle River: Pearson Prentice Hall, 2007.

I. T. Jolliffe, Principal Component Analysis, vol. Second Edition. 2002.

N. A. I. A. Latif, I. M. Z. Abidin, N. Azaman, N. Jamaludin, and A. A. Mokhtar, “A FEATURE EXTRACTION TECHNIQUE BASED ON FACTOR ANALYSIS FOR PULSED EDDY CURRENT DEFECTS CATEGORIZATION,” in IOP Conference Series: Materials Science and Engineering, Institute of Physics Publishing, 2019.

D. N. Gujarati, Basic Econometrics, Fourth Edition. New York: McGraw-Hill, 2003.

W. W. S. Wei, Multivariate Time Series Analysis and Applications. Upper Saddle River: Pearson Prentice Hall, 2019.

Z. Putri, A. Yuniar, T. Toharudin, and B. Ruchjana, “MODEL VECTOR AUTOREGRESSIVE INTEGRATED (VARI) DAN PENERAPANNYA PADA DATA PERKEMBANGAN HARGA ECERAN BERAS DI TIGA IBU KOTA PROVINSI WILAYAH PULAU JAWA,” Pattimura Proceeding: Conference of Science and Technology, vol. 2, no. 1, pp. 533–544, May 2022.doi: https://doi.org/10.30598/PattimuraSci.2021.KNMXX.533-544

E. Paparoditis and D. N. Politis, “THE ASYMPTOTIC SIZE AND POWER OF THE AUGMENTED DICKEY–FULLER TEST FOR A UNIT ROOT,” Econom Rev, vol. 37, no. 9, pp. 955–973, Oct. 2018.doi: https://doi.org/10.1080/00927872.2016.1178887

Z. Guo, “RESEARCH ON THE AUGMENTED DICKEY-FULLER TEST FOR PREDICTING STOCK PRICES AND RETURNS,” Advances in Economics, Management and Political Sciences, vol. 44, no. 1, pp. 101–106, Nov. 2023.doi: https://doi.org/10.54254/2754-1169/44/20232198

F. Bashir and H. L. Wei, “HANDLING MISSING DATA IN MULTIVARIATE TIME SERIES USING A VECTOR AUTOREGRESSIVE MODEL-IMPUTATION (VAR-IM) ALGORITHM,” Neurocomputing, vol. 276, pp. 23–30, Feb. 2018.doi: https://doi.org/10.1016/j.neucom.2017.03.097

L L. Fitria Dewi, Y. Suparman, and I. Gede Nyoman Mindra Jaya, “IMPLEMENTATION OF THE AUTOREGRESSIVE INTEGRATED (VARI) VECTOR MODEL FOR STRESS-TESTING ANALYSIS OF INDONESIAN BANKING,” Journal of Social Research, 2023.

L. Barnett and A. K. Seth, “THE MVGC MULTIVARIATE GRANGER CAUSALITY TOOLBOX: A NEW APPROACH TO GRANGER-CAUSAL INFERENCE,” J Neurosci Methods, vol. 223, pp. 50–68, Feb. 2014.doi: https://doi.org/10.1016/j.jneumeth.2013.10.018

A. Shojaie and E. B. Fox, “GRANGER CAUSALITY: A REVIEW AND RECENT ADVANCES,” Annu Rev Stat Appl, vol. 9, pp. 289–319, 2022.doi: https://doi.org/10.1146/annurev-statistics-040120-010930

L. Zhou, P. Zhao, D. Wu, C. Cheng, and H. Huang, “TIME SERIES MODEL FOR FORECASTING THE NUMBER OF NEW ADMISSION INPATIENTS,” BMC Med Inform Decis Mak, vol. 18, no. 1, Jun. 2018.doi: https://doi.org/10.1186/s12911-018-0616-8

E. Vivas, H. Allende-Cid, and R. Salas, “A SYSTEMATIC REVIEW OF STATISTICAL AND MACHINE LEARNING METHODS FOR ELECTRICAL POWER FORECASTING WITH REPORTED MAPE SCORE,” Entropy, vol. 22, no. 12, pp. 1–24, Dec. 2020.doi: https://doi.org/10.3390/e22121412

Published
2025-09-01
How to Cite
[1]
A. R. Al Madani, S. Najwa, and B. N. Ruchjana, “APPLICATION OF THE PRINCIPAL COMPONENT ANALYSIS-VECTOR AUTOREGRESSIVE INTEGRATED (PCA-VARI) MODEL TO FORECASTING ECONOMIC GROWTH IN INDONESIA”, BAREKENG: J. Math. & App., vol. 19, no. 4, pp. 2301-2316, Sep. 2025.

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