Robust Panel Data Regression Model of Standard Error in Firm Size, Leverage, and Profitability on Firm Value (Case Study: The Indonesian Mining Sector, 2022–2024, Listed on the Indonesia Stock Exchange)
Abstract
Corporate financial information such as firm size, leverage, and profitability sends signals to the market that are reflected in firm value. However, previous studies have yielded inconsistent results, likely due to differences in estimation methods and the disregard of violations of classical assumptions in panel data. This study aims to analyze the effects of firm size (Size), leverage (DER), and profitability (ROA) on firm value (PBV) by applying panel data regression with robust standard error correction. Data were collected from 21 mining sector companies listed on the Indonesia Stock Exchange (IDX) during the 2022–2024 period, yielding 63 observations. The model selected based on the Chow Test (p=1.46E-09) and the Hausman Test (p=0.002) is the Fixed Effects Model (FEM). The results of the classical assumption tests indicate violations of heteroscedasticity (p=0.029) and autocorrelation (p=0.005), so the estimation was continued using cluster-robust standard errors (clustering by time). After adjusting for the model, it was found that all three variables simultaneously had a significant effect on firm value (F-statistic, p = 0.0538). Partially, firm size had a significant negative effect (coefficient -0.481; p=0.038), leverage had a significant positive effect (coefficient 0.672; p=0.018), and profitability had a marginally significant negative effect (coefficient -0.796; p=0.092). An R-squared value of 17.6% indicates that there are still other factors outside the model that influence firm value. The conclusion of this study confirms that in the context of the Indonesian mining sector in the post-pandemic period, the market responds negatively to companies with large assets and high profitability, but responds positively to increased debt. These findings imply that investors should not focus solely on short-term profitability, and that company management should determine the optimal capital structure to increase firm value.
References
Arellano, M. (1987). PRACTITIONERS’ CORNER: Computing Robust Standard Errors for Within‐groups Estimators *. Oxford Bulletin of Economics and Statistics, 49(4), 431–434. https://doi.org/10.1111/j.1468-0084.1987.mp49004006.x
Baltagi, B. H. . (2015). The Oxford handbook of panel data. Oxford University Press.
Colin Cameron, A., & Miller, D. L. (2015). A Practitioner’s Guide to Cluster-Robust Inference. Journal of Human Resources, 50(2), 317–372. https://doi.org/10.3368/jhr.50.2.317
Dang, C., (Frank) Li, Z., & Yang, C. (2018). Measuring firm size in empirical corporate finance. Journal of Banking & Finance, 86, 159–176. https://doi.org/10.1016/j.jbankfin.2017.09.006
Dr. Kasmir. (2019). Analisis Laporan Keuangan - Rajawali Pers. Rajagrafindo Persada. https://books.google.co.id/books?id=EnjgzwEACAAJ
Fama, E. F., & French, K. R. (1998). Value versus Growth: The International Evidence. The Journal of Finance, 53(6), 1975–1999. https://doi.org/10.1111/0022-1082.00080
Hery, S. E. (2015). Analisis Kinerja Manajemen. Gramedia Widiasarana Indonesia. https://books.google.co.id/books?id=glFJDwAAQBAJ
Hidayat, M. J., Hadi, A. F., & Anggraeni, D. (2018). ANALISIS REGRESI DATA PANEL TERHADAP INDEKS PEMBANGUNAN MANUSIA (IPM) JAWA TIMUR TAHUN 2006-2015. Majalah Ilmiah Matematika Dan Statistika, 18(2), 69. https://doi.org/10.19184/mims.v18i2.17250
Hutagalung, I. P., & Darnius, O. (2022). Analisis Regresi Data Panel Dengan Pendekatan Common Effect Model (CEM), Fixed Effect Model (FEM) dan Random Effect Model (REM) (Studi Kasus : IPM Sumatera Utara Periode 2014 – 2020). FARABI: Jurnal Matematika Dan Pendidikan Matematika, 5(2), 217–226. https://doi.org/10.47662/farabi.v5i2.422
Jensen, M. C., & Meckling, W. H. (1976). Theory of the firm: Managerial behavior, agency costs and ownership structure. Journal of Financial Economics, 3(4), 305–360. https://doi.org/10.1016/0304-405X(76)90026-X
Kolari, J. W., & Velez-Pareja, I. (2010). Corporation Income Taxes and the Cost of Capital: A Revision. SSRN Electronic Journal. https://doi.org/10.2139/ssrn.1715044
Kotler, Philip., Kartajaya, Hermawan., & Setiawan, Iwan. (2021). Marketing 5.0 : technology for humanity. John Wiley & Sons, Inc.
Pratama, R. A., & Widyastuti, S. (2022). PENGARUH PENERIMAAN PAJAK DAN TINGKAT INFLASI TERHADAP PERTUMBUHAN EKONOMI DI INDONESIA. Veteran Economics, Management & Accounting Review, 1(1). https://doi.org/10.59664/vemar.v1i1.4832
RAJAN, R. G., & ZINGALES, L. (1995). What Do We Know about Capital Structure? Some Evidence from International Data. The Journal of Finance, 50(5), 1421–1460. https://doi.org/10.1111/j.1540-6261.1995.tb05184.x
Ross, S. A. (1977). The Determination of Financial Structure: The Incentive-Signalling Approach. The Bell Journal of Economics, 8(1), 23. https://doi.org/10.2307/3003485
Srihardianti, M., Mustafid, M., & Prahutama, A. (2016). Metode Regresi Data Panel Untuk Peramalan Konsumsi Energi Di Indonesia. Jurnal Gaussian, 5(3), 475–485.
Sudana, I. P., Putra, I. N. D., Sunarta, I. N., & Dwijendra, N. K. A. (2020). Impact of Backpacker Tourists on the Social, Economic and Environmental Aspects in Ubud, Bali, Indonesia. Journal of Social and Political Sciences, 3(4). https://doi.org/10.31014/aior.1991.03.04.225








