The heterogeneity of Okun’s law: A metaregression analysis

Porras, María Sylvina and Martín-Román, Ángel L. (2022): The heterogeneity of Okun’s law: A metaregression analysis.

Abstract

Okun’s law is an extremely influential parameter in empirical research and policy analysis, based on the sizable number of estimates from this perspective. Nevertheless, it is also subject to considerable heterogeneity. We first show graphical and statistical evidence on the existence of a high level of heterogeneity among Okun’s law estimates in existing research, then analyze potential sources of heterogeneity. Using 1,213 estimates of Okun’s law for various countries, regions, and time periods, separate metaregressions are estimated; one using estimates with the unemployment rate as the dependent variable, and the other with output as the dependent variable. Our findings indicate that the specification of the underlying model of the relationship has an effect on the magnitude of Okun’s parameter. Differential labor market characteristics may also explain part of the observed heterogeneity. Finally, the results are also found to be influenced by methodological issues, such as the type of data (time series or panel data), the frequency of the data (annual or quarterly), the spatial coverage of the estimates (country, region, or group of countries), whether more variables are included in estimations, and whether a dynamic or static, symmetric or asymmetric model is estimated. This paper contributes to highlight the heterogeneity affecting the estimates of Okun's law and that needs to be taken into account. In order to know the "true" relationship between unemployment and economic growth, researchers should bear in mind that there are a number of methodological choices that have consequences for the results.

• Item Type: MPRA Paper
• Language: English
• Keywords: Okun’s Law; heterogeneity; metaregression
• Subjects: C - Mathematical and Quantitative Methods > C5 - Econometric Modeling > C55 - Large Data Sets: Modeling and Analysis; E - Macroeconomics and Monetary Economics > E2 - Consumption, Saving, Production, Investment, Labor Markets, and Informal Economy > E23 - Production; E - Macroeconomics and Monetary Economics > E2 - Consumption, Saving, Production, Investment, Labor Markets, and Informal Economy > E24 - Employment ; Unemployment ; Wages ; Intergenerational Income Distribution ; Aggregate Human Capital ; Aggregate Labor Productivity; J - Labor and Demographic Economics > J6 - Mobility, Unemployment, Vacancies, and Immigrant Workers > J60 - General

References

Aiello, F. & Bonanno, G. (2019). Explaining Differences in Efficiency: A Meta-Study on Local Government Literature. Journal of Economic Surveys, 33(3): 999−1027. https://doi.org/10.1111/joes.12310

Balakrishnan, R., Das, M. & Kannan P. (2010). Unemployment Dynamics during Recessions and Recoveries: Okun's Law and Beyond. IMF World Econ. Outlook 1−40.

Ball, L., Furceri, Davide, Leigh, Daniel & Loungani, Prakash. (2019) Does One Law Fit All? Cross- Country Evidence on Okun's Law. Open Economies Review 30(5): 841−87.

Barreto, H. & Howland, F. (1993). There are two Okun’s law relationships between output and unemployment. Working Paper, Wabash College.

Baxter, M. & King R.G. (1999). Measuring Business Cycles: Approximate Band-Pass Filters for Economic Time Series. Review of Economics and Statistics, 81 (4): 575-593.

Belmonte, A. & Polo, C. (2004) Formulaciones de la ley de Okun y resultados para España, Estudios en homenaje a Luis Angel Rojo: políticas, mercados e instituciones económicas, Vol. 1, 2005, ISBN 84-7491-764-6: 263−294.

Berkey, C. S., Hoaglin, D. C., Mosteller, F., & Colditz, G. A.. (1995). A random-effects regression model for meta-analysis. Statistics in Medicine 14: 395−411. https://doi.org/10.1002/sim.4780140406.

Beveridge, S. & Nelson, C. (1981) A new approach to the decomposition of economic time series into permanent and transitory components with particular attention to measurement of the business cycle. Journal of Monetary Economics 7(2): 151–174.

Blanchard, Olivier. (1997). Macroeconomics, Prentice Hall.

Borenstein, M., Hedges. L.V., Higgins, J.P.T. & Rothstein, H. (2017) Regression in Meta-Analysis. In: https://www.meta-analysis.com/pages/cma_manual.php?cart=BWKS6015401

Canarella, G. & Miller, S. M. (2017). Did Okun's Law Die after the Great Recession? Business Economics 52(4): 216-26.

Cevik, E. I.; Dibooglu, S. & Barisik, S. (2013). Asymmetry in the Unemployment-Output Relationship over the Business Cycle: Evidence from Transition Economies. Comparative Economic Studies 55(4): 557-81.

Deeks JJ, Higgins JP & Altman DG (editors). Chapter 10: Analysing data and undertaking meta-analyses. In: Higgins JPT, Thomas J, Chandler J, Cumpston M, Li T, Page MJ, Welch VA (editors). Cochrane Handbook for Systematic Reviews of Interventions version 6.2 (updated February 2021). Cochrane, 2021. Available from: www.training.cochrane.org/handbook.

Folawewo, A.O. & Adeboje, O.M. (2017). Macroeconomic Determinants of Unemployment: Empirical Evidence from Economic Community of West African States. African Development Review 29: 197-210.

Freeman, D. G. (2001). Panel Tests of Okun's Law for Ten Industrial Countries. Economic Inquiry 39(4): 511-23.

Glass, G. V. (1976). Primary, secondary, and meta-analysis of research. Educational Researcher 5: 3−8. https://doi.org/10.2307/1174772

Gordon, R. J., (1984), Unemployment and Potential Output in the 1980s. Brooking Papers on Economic Activity 2: 537−586.

Harris, R. & Silverstone, B., (2001) Testing for asymmetry in Okun's law: A cross−country comparison. Economics Bulletin 5(2): 1−13.

Harvey, A.C. (1985) Trends and Cycles in Macroeconomic Time Series. Journal of Business & Economic Statistics 13: 216–227.

Harvey, A.C. (1989) Forecasting, Structural Time Series Models and the Kalman Filter. Cambridge Univ. Press. https://doi.org/10.1017/CBO9781107049994

Havránek, T., Stanley, T.D., Doucouliagos, H., Bom, P., Geyer-Klingeberg, J., Iwasaki, I., Reed, W.R., Rost, K. & van Aert, R.C.M. (2020). Reporting Guidelines for Meta-Analysis in Economics. Journal of Economic Surveys, 34: 469−475. https://doi.org/10.1111/joes.12363

Herwartz, H. & Niebuhr, A., (2011). Growth, unemployment and labour market institutions: Evidence from a cross-section of EU regions. Applied Economics 43: 4663−4676.

Higgins, J.P. & Thompson, S.G. (2002). Quantifying heterogeneity in a meta-analysis. Statistics in Medicine, 21 (11): 1539−1558. https://doi.org/10.1002/sim.1186

Higgins, J. P., Thompson, S. G., Deeks, J. J., & Altman, D. G. (2003), Measuring inconsistency in meta-analyses. BMJ: British Medical Journal 327(7414): 557−560. https://doi.org/10.1136/bmj.327.7414.557

Hodrick, R.J. & Prescott, E.C. (1997). Postwar U.S. Business Cycles: An Empirical Investigation. Journal of Money, Credit and Banking 29(1): 1-16.

Kalman, R.E. (1960) A new approach to linear filtering and prediction problems. Journal of Basic Engineering. 82(1): 35-45.

Katos, A; Pallis, D & Kat Souli, E. (2004). System Estimates of Cyclical Unemployment and Cyclical Output in the 15 European Union Member-States. International Journal of Applied Econometrics and Quantitative Studies 1(4): 5-26.

Knotek, B. (2007) How Useful is Okun's Law. Economic Review. Federal Reserve Bank of Kansas City, fourth qua, 73−103.

Lichter, A., Peichl, A. & Siegloch, S. (2015) The own-wage elasticity of labor demand: A meta-regression analysis. European Economic Review 80: 94-119.

Liquitaya, J. D., & Lizarazu, E. (2003). La ley de Okun en la economía. Denarius (08), 15. https://denarius.izt.uam.mx/index.php/denarius/article/view/299

Liu, X., Lam, R., Schipke, A. & Shen, G. (2018). A Generalized Okun's Law: Uncovering the Myth of China's Labor Market Resilience. Review of Development Economics 22 (3): 1195-1216

Marinkov, M. & Geldenhuys, J. (2007) Cyclical Unemployment and Cyclical Output: An Estimation of Okun's Coefficient for South Africa. South African Journal of Economics 75: 373−390.

Moosa, I. A. (1997). A Cross-Country Comparison of Okun's Law Coefficient. Journal of Comparative Economics 24(3): 335−356.

Okun, A. (1962). «Potential GNP: its measurement and significance». In 1962 Proceedings of the Business and Economic Statistics Section of the American Statistical Association. https://cowles.yale.edu/author/arthur-m-okun.

Palombi, S.; Perman, R. & Tavera, C. (2015) Regional Growth and Unemployment in the Medium Run: Asymmetric Cointegrated Okun's Law for UK Regions. Applied Economics. 47 (55-57): 6228−38.

Pérez, J. J., Rodríguez, J. & Usabiaga, C. (2003). Análisis dinámico de la relación entre ciclo económico y ciclo del desempleo: Una aplicación regional. Investigaciones Regionales 2: 141−162.

Perman, R. & Tavera, C., (2005), A Cross-Country Analysis of the Okun's Law Coefficient Convergence in Europe. Applied Economics 37(21): 2501−13.

Perman, R., Stephan, G. & Tavéra, C. (2015). Okun's Law—a Meta-analysis. The Manchester School 83: 101−126. https://doi.org/10.1111/manc.12057

Porras-Arena, M.S & Martín-Román, Á.L. (2019). Self-employment and the Okun's law. Economic Modelling 77: 253−265.

Porras-Arena, M.S. & Martín-Román, Á.L. (2021). La relación entre el desempleo y el crecimiento económico en América Latina: Estimaciones de la ley de Okun por países. Revista Internacional del Trabajo. Accepted Author Manuscript. https://doi.org/10.1111/ilrs.12191

Prachowny, M.F. J. (1993). Okun's Law: Theoretical Foundations and Revised Estimates. The Review of Economics and Statistics 75(2): 331−336.

Spineli, L.M & Pandis; N. (2020). Fixed-effect versus random-effects model in meta-regression analysis. Statistics and Research Design 158(5):770−772.

Stanley, T., Doucouliagos, H., Giles, M., Heckemeyer, J.H., Johnston, R.J., Laroche, P., Nelson, J.P., Paldam, M., Poot, J., Pugh, G., Rosenberger, R.S. & Rost, K. (2013). Meta-analysis of economics research reporting guidelines. Journal of Economic Surveys 27: 390−394. https://doi.org/10.1111/joes.12008

Stanley, T.D. & Doucouliagos, H. (2015). Neither fixed nor random: weighted least squares meta-analysis. Statistics in Medicine 34(13): 2116−27.

Sögner, L. & Stiassny, A. (2002). An analysis on the structural stability of Okun’s law: a cross-country study. Applied Economics 34(14): 1775−1787.

Thompson, S.G. & Sharp, S.J. (1999). Explaining heterogeneity in meta-analysis: a comparison of methods. Statistics in Medicine 18: 2693−2708.

Thompson, S.G. & Higgins, J.P. (2002). How should meta-regression analyses be undertaken and interpreted? Statistics in Medicine 21(11):1559−73. https://doi.org/10.1002/sim.1187

Valadkhani, A. (2015). Okun's Law in Australia. Economic Record 91(295): 509-22.

Villaverde, J. & Maza, A. (2009). The robustness of Okun’s law in Spain, 1980-2004. Regional evidence. J. Policy Model 31: 289−297.

Virén, M. (2001). The Okun curve is non-linear. Economics Letters 70(2): 253−257.