Lyócsa, Štefan and Výrost, Tomáš and Baumöhl, Eduard (2011): Unitroot and stationarity testing with empirical application on industrial production of CEE4 countries.

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Abstract
The purpose of this paper is to explain both the need and the procedures of unitroot testing to a wider audience. The topic of stationarity testing in general and unit root testing in particular is one that covers a vast amount of research. We have been discussing the problem in four different settings. First we investigate the nature of the problem that motivated the study of unitroot processes. Second we present a short list of several traditional as well as more recent univariate and panel data tests. Third we give a brief overview of the economic theories, in which the testing of the underlying research hypothesis can be expressed in a form of a unitroot / stationary test like the issues of purchasing power parity, economic bubbles, industry dynamic, economic convergence and unemployment hysteresis can be formulated in a form equivalent to the testing of a unit root within a particular series. The last, fourth aspect is dedicated to an empirical application of testing for the nonstationarity in industrial production of CEE4 countries using a simulation based unitroot testing methodology.
Item Type:  MPRA Paper 

Original Title:  Unitroot and stationarity testing with empirical application on industrial production of CEE4 countries 
Language:  English 
Keywords:  Unitroot, Stationarity, Univariate tests, Panel tests, Simulation based unit root tests, Industrial production 
Subjects:  C  Mathematical and Quantitative Methods > C2  Single Equation Models; Single Variables > C20  General E  Macroeconomics and Monetary Economics > E2  Macroeconomics: Consumption, Saving, Production, Employment, and Investment > E23  Production C  Mathematical and Quantitative Methods > C3  Multiple or Simultaneous Equation Models; Multiple Variables > C30  General E  Macroeconomics and Monetary Economics > E6  Macroeconomic Policy, Macroeconomic Aspects of Public Finance, Macroeconomic Policy, and General Outlook > E60  General 
Item ID:  29648 
Depositing User:  Eduard Baumöhl 
Date Deposited:  19. Mar 2011 19:02 
Last Modified:  11. Feb 2013 23:11 
References:  [1] Afonso, A. – Rault, Ch. (2010). What Do We Really Know about Fiscal Sustainability in the EU? A Panel Data Diagnostic. Review of World Economics, 145(4), 731–55. [2] Amara, J. – Papell, D. H. (2006). Testing for Purchasing Power Parity using stationary covariates. Applied Financial Economics, 16(12), 2939. [3] Banerjee, A. – Dolado, J. – Galbraith, J. W. – Hendry, D. F. (1993). Cointegration, error correction, and the econometric analysis of nonstationary data, reprint 2003. Oxford University Press, New York. [4] Baum, Ch. F. – Barkoulas, J. T. – Caglayan, M. (1999). Long memory or structural breaks: can either explain nonstationary real exchange rates under the current float? Journal of International Financial Markets, Institutions and Money, 9(4), 35976. [5] Baumöhl, E. – Lyócsa, Š. (2009). Stationarity of Time Series and the Problem of Spurious Regression. SSRN Working Paper Series. Available at: <http://papers.ssrn.com/sol3/papers.cfm?abstract_id=1480682>. [6] Belke, A. – Polleit, T. (2009). Monetary Economics in Globalised Financial Markets. SpringerVerlag Berlin. [7] Breitung, J. – Das, S. (2005). Panel unit root tests under crosssectional dependence. Statistica Neerlandica, 59(4), 41433. [8] Breuer, J. B. – McNown, R. – Wallace, M. (2002). Seriesspecific Unit Root Tests with Panel Data. Oxford Bulletin of Economics and Statistics, 64(5), 527546. [9] Camarero, M. – CarrioniSilvestre, J. L. – Tamarit, C. (2006). Testing for hysteresis in employment in OECD countries. New evidence using stationarity panel tests with breaks. Oxford Bulleting of Economics and Statistics, 68(2), 16782. [10] CarrioniSilvestre, J. L. – Sansó, A. (2007). The KPSS test with two structural breaks. Spanish Economic review, 9(2), 10527. [11] Chang, H.L. – Su, Ch.W. – Zhu, M. N. (2010). Is Middle East Countries Per Capita Real GDP Stationary? Evidence from Nonlinear Panel Unitroot Tests. Middle Eastern Finance and Economics, 6, 1519. [12] Chang, Y. (2002). Nonlinear IV Unit Root Tests in Panels with CrossSectional Dependency, Journal of Econometrics, 110(2), 26192. [13] Chen, S. W. (2009). Nonstationary and Nonlinearity in Stock Prices: Evidence from the OECD Countries, Economics Bulletin, 3(11), 111. [14] Choi, I. (2001). Unit Root Tests for Panel Data, Journal of International Money and Finance, 20(2), 24972. [15] Choi, I. (2006). Combination Unit Root Tests for Crosssectionally Correlated Panels. In: Corbae, D. – Durlauf, S. – Hansen, B. (Eds.), Econometric Theory and Practice: Frontiers of Analysis and Applied Research, essays in honor of Peter C. B. Phillips. Cambridge: Cambridge University Press. [16] Christidou, M. – Panagiotidis, T. (2010). Purchasing Power Parity and the European single currency: Some new evidence. Economic Modelling, 27(5), 1116123. [17] Christopoulos, D. K. – Tsionas, E. G. (2007). Are US regional incomes converging? A nonlinear perspective. Regional Studies, 41(4), 52530. [18] Clemente, J. – Montanes, A. – Reyes, M. (1998). Testing for a unit root in variables with a double change in the mean. Economics Letters, 59(2), 175182. [19] Cuestas, J. C. (2009). Purchasing power parity in Central and Eastern European countries: an analysis of unit roots and nonlinearities. Applied Economics Letters, 16(1), 8794. [20] Cunado, J. – GilAlana, L. A. – Perez de Gracia, F. (2007). Testing for stock market bubbles using nonlinear models and fractional integration. Applied Financial Economics, 17(16), 13131321. [21] Darné, O. (2009). The uncertain unit root in real GNP: A reexamination. Journal of Macroeconomics, 31(1), 15366. [22] Davidson, R. – MacKinnon, J.G. (2003). Econometric theory and Methods. Oxford University Press, New York. ISBN 0195123727 [23] Dickey, D. A. – Fuller, W. A. (1979). Distribution of the Estimators for Autoregressive Time Series With a Unit Root. Journal of the American Statistical Association, 74(366), 42731. [24] Dickey, D. A. – Fuller, W. A. (1981). Likelihood ratio statistics for autoregressive time series with a unit root. Econometrica, 49(4), 105772. [25] Divino, J. A. – Teles, V. K. – Andrade, J. P. (2009). On the purchasing power parity for latinamerican countries. Journal of Applied Economics, 12(1), 3354. [26] Elliott, G. – Jansson, M. (2003). Testing for unit roots with stationary covariates. Journal of Econometrics, 115(1), 7589. [27] Elliott, G. – Rothenberg, T. J. – Stock, J. H. (1996). Efficient tests for an autoregressive unit root. Econometrica, 64(4), 81336. [28] Gallet, C, A. – List, J. A. (2001). Market share instability: an application of unit root tests to the cigarette industry. Journal of Economics and Business, 53(5), 47380. [29] Giannetti, C. (2009). Unit Roots and the Dynamics of Market Shares: An analysis using an Italian Banking micropanel. Center for Economic Research: Tilburg University, 200844. [30] Granger, C. W. J. – Newbold, P. (1974). Spurious regression in econometrics. Journal of Econometrics, 2(2), 11120. [31] Granger, C. W. J. (2003). Spurious Regressions in Econometrics, A companion to Theoretical Econometrics, ed. Baltagi, B. H., Blackwell Publishing, 55761. [32] Hadri, K. – Rao, Y. (2008). Panel stationarity test with structural break. Oxford Bulletin of Economics and Statistics, 70(2), 24569. [33] Hadri, K. – Rao, Y. (2008). Panel Stationarity Test with Structural Break. Oxford Bulletin of Economics and Statistics, 70(2), 24569. [34] Hadri, K. (2000). Testing for stationarity in heterogeneous panels. The Econometrics Journal, 3(2), 14861. [35] Hamilton, J. D. (1994). Time Series Analysis. Princeton University Press. [36] Harris, D. – Leybourne, S. – McCabe, B. (2005). Panel Stationarity Tests for Purchasing Power Parity with CrossSectional Dependence. Journal of Busienss and Economic Statistics, 23(4), 395409. [37] Harris, R. D. F. – Tzavalis, E. (1999). Inference for unit roots in dynamic panels where the time dimension is fixed. Journal of Econometrics, 91(2), 20126. [38] Holmes, M. – Otero, J. – Panagiotidis, T. (2010). Are EU Budget Deficits Stationary? Empirical Economics, 38(3), 767–78. [39] Holmes, M. J. – Grimes, A. (2008). Is There Longrun Convergence among Regional House Prices in the UK? Urban Studies, 45(8), 153144. [40] Holmes, M. J. (2009). How Convergent are Regional House Prices in the United Kingdom? Some New Evidence from Panel Data Unit Root Testing. Journal of Economic and Social Research, 9(1), 117. [41] Im, K. – Pesaran, M. – Shin, Y. (2003). Testing for Unit Roots in Heterogeneous Panels. Journal of Econometrics, 115(1), 53–74. [42] Im. S. K. – Lee, J. – Tieslau, M. (2010). Stationarity of Inflation: Evidence from Panel Unit Root Tests with Trend Shifts. 20th Annual Meetings of the Midwest Econometrics Group, Oct 12, 2010. [43] Ito, T. (2009). Fisher Hypothesis in Japan: Analysis of Longterm Interest Rates under Different Monetary Policy Regimes. The World Economy, 32(7), 101935. [44] Jirasakuldech, B. – Emekter, R. – Went, P. (2006). Rational speculative bubbles and duration dependence in exchange rates: an analysis of five currencies. Applied Financial Economics, 16(3), 23343. [45] Johnson, P. A. (2006). Is it really the Fisher effect? Applied Economics Letters, 13(4), 20103. [46] Kapetanios, G. – Shin, Y. – Snell, A. (2003). Testing for a unit root in the nonlinear STAR framework. Journal of Econometrics, 112(2), 359379. [47] Kasman, S. – Kasman, A. – Ayhan, D. (2010). Testing the Purchasing Power Parity Hypothesis for the New Member and Candidate Countries of the European Union: Evidence from Lagrange Multiplier Unit Root Tests with Structural Breaks. Emerging Markets Finance & Trade, 46(2), 5365. [48] Kejriwal, M. – Lopez, C. (2010). Unit Roots, Level Shifts and Trend Breaks in Per Capita Output: A Robust Evaluation. Department of Economics: Purdue University, 1227. [49] Kim, D. – Perron, P. Unit root tests allowing for a break in the trend function at an unknown time under both the null and alternative hypotheses, Journal of Econometrics, 148(1), 113. [50] Kirikos, D. G. – Rich, K. (1994). Some tests for speculative exchange rate bubbles based on unit root tests, Spoudai, 44(12), 1530. [51] Kuo, BS. – Mikkola, A. (1999). Reexamining Longrun Purchasing Power Parity. Journal of International Money & Finance, 18(2), 25166. [52] Kwiatkowski, D. – Phillips, P. C. B. – Schmidt, P. – Shin, Y. (1992). Testing the null hypothesis of stationarity against the alternative of a unit root. Journal of Econometrics, 15978. [53] Lee, J. – Strazicich, M. (2001). Testing the null of stationarity in the presence of a structural break. Applied Economics Letters, 8(6), 37782. [54] Lee, J. – Strazicich, M. (2003). Minimum lagrange multiplier unit root test with two structural breaks. The Review of Economics and Statistics, 85(4), 108289. [55] Lee, J. – Strazicich, M. (2004). Minimum LM Unit Root Test with One Structural Break, Department of Economics, Appalachian State University, 0416. [56] Lee, Junsoo, Kyung S. Im, and Margie Tieslau (2005), Panel LM unit root tests with level shifts, Oxford Bulletin of Economics and Statistics, 67(3), 393419. [57] LeónLedesma, M. – McAdam, P. (2004). Unemployment, Hysteresis and Transition. Scottish Journal of Political Economy, 51(3), 377401. [58] Levin, A. – Lin, C.F. – Chu, C.S. (2002). Unit Root Tests in Panel Data: Asymptotic and Finite Sample Properties. Journal of Econometrics, 108(1), 1–24. [59] Levin, A. – Lin, C.F. (1993). Unit Root Test in Panel Data: New Results, Discussion Paper, 9356, Department of Economics, University of California at San Diego. [60] Leybourne, S. J. – McCabe, B. P. M. (1994). A consistent test for a Unit Root. Journal of Business & Economic Statistics, 12(2), 15766. [61] Llorca, M. – Redzepagic, S. (2008). Debt Sustainability in the EU New Member States: Empirical Evidence from a Panel of Eight Central and East European Countries. PostCommunist Economies, 20(2), 159–72. [62] Lopez, C. (2008). Evidence of purchasing power parity for the floating regime period. Journal of International Money and Finance, 27(1), 156164. [63] Lumsdaine, R. L. – Papell, D. H. (1997). Multiple Trend Breaks and the UnitRoot Hypothesis, The Review of Economics and Statistics, 79(02), 212218. [64] Lyócsa, Š. – Baumöhl, E. – Výrost, T. (2011). The Stock Markets and Real Economic Activity: New Evidence from CEE. Eastern European Economics, forthcoming. [65] Maddala, G. – Wu, S. (1999). A Comparative Study of Unit Root Tests and a New Simple Test, Oxford Bulletin of Economics and Statistics, 61(0), 63152. [66] Marmol, F. (1996). Nonsense regressions between integrated processes of different orders. Oxford Bulletin of Economics and Statistics, 58(3), p.52536. [67] Moon, H. – Perron, B. (2004). Testing for a Unit Root in Panels with Dynamic Factors. Journal of Econometrics, 122(1), 8–126. [68] Murray, Ch. J. – Nelson, Ch. R. (2002). The Great Depression and Output Persistence. Journal of Money, Credit and Banking, 34(4), 109098. [69] Murray, Ch. J. – Nelson, Ch. R. (2004). The Great Depression and Output Persistence: A Reply to Papell and Prodan. Journal of Money, Credit and Banking, 36(3), 42932. [70] Murray, M. P. (1994). A Drunk and Her Dog: An Illustration of Cointegration and Error Correction. The American Statistician, 48(1), 3739. [71] Murthy, V. N. R. – Anoruo, E. (2009). Are Per Capita Real GDP Series in African Countries Nonstationary or Nonlinear? What does Empirical Evidence Reveal? Economics Bulletin, 29(4), 2492504. [72] Narayan, P. K. (2005). Are the Australian and New Zealand stock prices nonlinear with a unit root? Applied Economics, 37(18), 216166. [73] Narayan, P. K. (2008). The purchasing power parity revisited: New evidence for 16 OECD countries from panel unit root tests with structural breaks. Journal International Financial Markets, Institutions and Money, 18(2), 13746. [74] Nelson, Ch. R. – Plosser, Ch. R. (1982). Trend and random walks in macroeconomic time series: Some evidence and implications. Journal of Monetary Economics, 10(2), 13962. [75] Ng, S. – Perron, P. (1995). Unit Root Tests in ARMA Models with DataDependent Methods for the Selection of the Truncation Lag. Journal of the American Statistical Association, 90(419), 26881. [76] Ng, S. – Perron, P. (2001). Lag length selection and the construction of unit root tests with good size and power. Econometrica, 69(6), 151954. [77] Papell, D. H. – Prodan, R. (2004). The Uncertain Unit Root in U.S. Real GDP: Evidence with Restricted and Unrestricted Structural Change. Journal of Money, Credit and Banking, 36(3), 42327. [78] Papell, D. H. – Prodan, R. (2007). Restricted structural change and the unit root hypothesis. Economic Inquiry, 45(4), 83453. [79] Perron, P. – Vogelsang, T. J. (1992). Nonstationarity and level shifts with an application to purchasing power parity. Journal of Business & Economic Statistics, 10(3), 30120. [80] Perron, P. (1989). The great crash, the oil price shock, and the unit root hypothesis. Econometrica, 57(6), 1361401. [81] Perron, P. (1997). Further evidence on breaking trend functions in macroeconomic variables. Journal of Econometrics, 80(2), 35585. [82] Pesaran, M.H. – Smith, L.V. – Yamagata, T. (2009). A Panel Unit Root Test in the Presence of a Multifactor Error Structure. Working paper, Cambridge University. [83] Pesaran, M.H. (2007). A Simple Panel Unit Root Test In The Presence Of Cross Section Dependence, Journal of Applied Econometrics, 22(2), 265312. [84] Phillips, P. C. B. – Perron, P. (1988). Testing for a unit root in time series regression. Biometrica, 75(2), 33546. [85] Phillips, P. C. B. (1986). Understanding spurious regressions in econometrics. Journal of Econometrics, 33(3), 31140. [86] Phillips, P.C.B. – Sul, D. (2003). Dynamic Panel Estimation and Homogeneity Testing Under Cross Section Dependence, Econometrics Journal, 6(1), 21759. [87] Quian, X. Y. – Song, F. T. – Zhou, W. X. (2008). Nonlinear behaviour of the Chinese SSEC index with a unit root: Evidence from threshold unit root tests. Physica A: Statistical Mechanics and its Applications. 387(23), 50310. [88] Resende, M. – Lima, M. A. M. (2005). Market share instability in Brazilian industry: a dynamic panel data analysis. Applied Economics, 37(6), 713718. [89] Schwarz, G. E. (1978). Estimating the dimension of a model. Annals of Statistics 6 (2), 461–464. [90] Schwert, G. W. (1989). Tests for Unit Roots: A Monte Carlo Investigation. Journal of Business & Economic Statistics, 7(2), 14759. [91] Sephton, P. (2008). Market shares and rivalry in the U.S. cigarette industry. Applied Economics Letters, 15(6), 41722. [92] Taylor, A. M. – Taylor, M. P. (2004). The Purchasing Power Parity Debate. Journal of Economic Perspective, 18(4), 13558. [93] Taylor, M, P. – Sarno, L. The behaviour of real exchange rates during the postBretton Woods period. Journal of International Economics, 46(2), 281312. [94] Taylor, M. P. – Sarno, L. (1998). The behavior of real exchange rates during the postBretton Woods period. Journal of International Economics, 46(2), 281312. [95] Wilcox, D. (1989). The Sustainability of Government Deficits: Implications of the presentvalue Borrowing Constraint. Journal of Money Credit and Banking, 21(3), 291–306. [96] Zivot, E – Andrews, D. W. K. (1992). Further Evidence on the Great Crash, the OilPrice Shock, ant the UnitRoot Hypothesis. Journal of Business & Economic Statistics, 10(03), 251270. 
URI:  http://mpra.ub.unimuenchen.de/id/eprint/29648 