Testing for structural breaks in dynamic factor models. (English) Zbl 1441.62615
Summary: In this paper we investigate the consequences of structural breaks in the factor loadings for the specification and estimation of factor models based on principal components and suggest procedures for testing for structural breaks. It is shown that structural breaks severely inflate the number of factors identified by the usual information criteria. The hypothesis of a structural break is tested by using LR, LM and Wald statistics. The LM test (which performs best in our Monte Carlo simulations) is generalized to test for structural breaks in factor models where the break date is unknown and the common factors and idiosyncratic components are serially correlated. The proposed test procedures are applied to datasets from the US and the euro area.
MSC:
| 62P20 | Applications of statistics to economics |
| 62H25 | Factor analysis and principal components; correspondence analysis |
References:
| [1] | Andrews, D. W.K., Tests for parameter instability and structural change with unknown change point, Econometrica, 61, 821-856 (1993) · Zbl 0795.62012 |
| [2] | Andrews, D. W.K.; Lee, I.; Ploberger, W., Optimal change point tests for normal linear regression, Journal of Econometrics, 70, 9-38 (1996) · Zbl 0834.62066 |
| [3] | Andrews, D. W.K.; Ploberger, W., Optimal tests when a nuisance parameter is present only under the alternative, Econometrica, 62, 1383-1414 (1994) · Zbl 0815.62033 |
| [4] | Altissimo, F., Forni, M., Lippi, M., Veronese, G., Cristadoro, R., 2007. New Eurocoin: tracking economic growth in real time. Bank of Italy Working Paper 631.; Altissimo, F., Forni, M., Lippi, M., Veronese, G., Cristadoro, R., 2007. New Eurocoin: tracking economic growth in real time. Bank of Italy Working Paper 631. |
| [5] | Amengual, D.; Watson, M. W., Consistent estimation of the number of dynamic factors in a large N and T panel, Journal of Business & Economic Statistics, 25, 91-96 (2007) |
| [6] | Bai, J., Inferential theory for factor models of large dimensions, Econometrica, 71, 135-172 (2003) · Zbl 1136.62354 |
| [7] | Bai, J.; Ng, S., Determining the number of factors in approximate factor models, Econometrica, 70, 191-221 (2002) · Zbl 1103.91399 |
| [8] | Bai, J.; Ng, S., Determining the number of primitive shocks in factor models, Journal of Business and Economic Statistics, 25, 52-60 (2007) |
| [9] | Bai, J.; Perron, P., Estimating and testing linear models with multiple structural changes, Econometrica, 66, 47-78 (1998) · Zbl 1056.62523 |
| [10] | Bai, J.; Perron, P., Computation and analysis of multiple structural change models, Journal of Applied Econometrics, 18, 1-22 (2003) |
| [11] | Banerjee, A., Marcellino, M., 2008. Forecasting macroeconomic variables using diffusion indexes in short samples with structural change. CEPR Working Paper 6706.; Banerjee, A., Marcellino, M., 2008. Forecasting macroeconomic variables using diffusion indexes in short samples with structural change. CEPR Working Paper 6706. |
| [12] | Baxter, M.; Kouparitsas, M. A., Determinants of business cycle comovement: a robust analysis, Journal of Monetary Economics, 52, 1, 113-157 (2005) |
| [13] | Benati, L., Mumtaz, H., 2007. US evolving macroeconomic dynamics—a structural investigation. ECB Working Paper 746.; Benati, L., Mumtaz, H., 2007. US evolving macroeconomic dynamics—a structural investigation. ECB Working Paper 746. |
| [14] | Billingsley, P., Convergence of Probability Measures (1968), Wiley: Wiley New York · Zbl 0172.21201 |
| [15] | Breitung, J.; Pesaran, M., Unit roots and cointegration in panels, (Matyas, L.; Sevestre, P., The Econometrics of Panel Data: Fundamentals and Recent Developments in Theory and Practice (2008), Kluwer Academic Publishers), 279-322 · Zbl 1137.62088 |
| [16] | Breitung, J., Tenhofen, J., 2008. GLS estimation of dynamic factor models. Working Paper, University of Bonn.; Breitung, J., Tenhofen, J., 2008. GLS estimation of dynamic factor models. Working Paper, University of Bonn. · Zbl 1229.62081 |
| [17] | Canova, F., Ciccarelli, M., Ortega, E., 2009. Do institutional changes affect business cycles? Evidence from Europe, Mimeo, Universitat Pompeu Fabra, Barcelona.; Canova, F., Ciccarelli, M., Ortega, E., 2009. Do institutional changes affect business cycles? Evidence from Europe, Mimeo, Universitat Pompeu Fabra, Barcelona. · Zbl 1345.91038 |
| [18] | Chamberlain, G.; Rothschild, M., Arbitrage, factor structure and mean-variance analysis in large asset markets, Econometrica, 51, 1305-1324 (1983) |
| [19] | Clarida, R.; Galí, J.; Gertler, M., Monetary policy rules and macroeconomic stability: evidence and some theory, The Quarterly Journal of Economics, 115, 147-180 (2000) · Zbl 1064.91512 |
| [20] | Davis, S. J.; Kahn, J. A., Interpreting the great moderation: changes in the volatility of economic activity at the macro and micro levels, Journal of Economic Perspectives, 22, 155-180 (2008) |
| [21] | Del Negro, M., Otrok, C., 2008. Dynamic factor models with time-varying parameters: measuring changes in international business cycles. Revised Version of Federal Reserve Bank of New York Staff Report 326 (2005).; Del Negro, M., Otrok, C., 2008. Dynamic factor models with time-varying parameters: measuring changes in international business cycles. Revised Version of Federal Reserve Bank of New York Staff Report 326 (2005). |
| [22] | Eickmeier, S., Lemke, W., Marcellino, M., 2009. Classical time-varying FAVAR models—estimation, forecasting and structural analysis. Mimeo, Deutsche Bundesbank.; Eickmeier, S., Lemke, W., Marcellino, M., 2009. Classical time-varying FAVAR models—estimation, forecasting and structural analysis. Mimeo, Deutsche Bundesbank. |
| [23] | Frankel, J. A.; Rose, A. K., The endogeneity of the optimum currency area criteria, Economic Journal, 108, 1009-1025 (1998) |
| [24] | Galí, J., Gambetti, L., 2008. On the sources of the great moderation. CEPR Discussion Paper 6632.; Galí, J., Gambetti, L., 2008. On the sources of the great moderation. CEPR Discussion Paper 6632. |
| [25] | Giordani, P., 2007. Discussion of “forecasting in dynamic factor models subject to structural instability” by James Stock and Mark Watson, December 2007. http://www.ecb.int/events/pdf/conferences/ftworkshop2007/Giordani.pdf; Giordani, P., 2007. Discussion of “forecasting in dynamic factor models subject to structural instability” by James Stock and Mark Watson, December 2007. http://www.ecb.int/events/pdf/conferences/ftworkshop2007/Giordani.pdf |
| [26] | Imbs, J., Trade, finance, specialization and synchronization, Review of Economics and Statistics, 86, 723-734 (2004) |
| [27] | IMF, 2008. World Economic Outlook: Housing and the Business Cycle (Chapter 3).; IMF, 2008. World Economic Outlook: Housing and the Business Cycle (Chapter 3). |
| [28] | Kim, C.; Nelson, C. R., Has the US economy become more stable? A Bayesian approach based on a Markov-switching model of the business cycle, Review of Economics and Statistics, 81, 608-616 (1999) |
| [29] | Kose, A. M.; Prasad, E. S.; Terrones, M. E., How does globalization affect the synchronization of business cycles?, American Economic Review, 93, 57-62 (2003) |
| [30] | McConnell, M.; Perez-Quiros, G., Output fluctuations in the United States: what has changed since the early 1980s?, American Economic Review, 90, 1464-1476 (2000) |
| [31] | Newey, W. K.; West, K. D., A simple, positive semi-definite, heteroskedasticity and autocorrelation consistent covariance matrix, Econometrica, 55, 703-708 (1987) · Zbl 0658.62139 |
| [32] | Perron, P., Dealing with structural breaks, (Mills, T. C.; Patterson, K., Econometric Theory. Econometric Theory, Palgrave Handbook of Econometrics, vol. 1 (2006), Palgrave Macmillan: Palgrave Macmillan New York), 278-352 |
| [33] | Stock, J. H.; Watson, M. W., Forecasting using principal components from a large number of predictors, Journal of the American Statistical Association, 97, 1167-1179 (2002) · Zbl 1041.62081 |
| [34] | Stock, J.H., Watson, M.W., 2003. Has the business cycle changed? Evidence and explanations. Forthcoming FRB Kansas City Symposium, Jackson Hole, Wyoming, August 28-30.; Stock, J.H., Watson, M.W., 2003. Has the business cycle changed? Evidence and explanations. Forthcoming FRB Kansas City Symposium, Jackson Hole, Wyoming, August 28-30. |
| [35] | Stock, J.H., Watson, M.W., 2005. Implications of dynamic factor models for VAR analysis. NBER Working Paper No. 11467.; Stock, J.H., Watson, M.W., 2005. Implications of dynamic factor models for VAR analysis. NBER Working Paper No. 11467. |
| [36] | Stock, J. H.; Watson, M. W., Forecasting in dynamic factor models subject to structural instability, (Castle, J.; Shephard, N., The Methodology and Practice of Econometrics, A Festschrift in Honour of Professor David F. Hendry (2008), Oxford University Press: Oxford University Press Oxford) · Zbl 1456.62219 |
| [37] | Vogelsang, T. J., Sources of nonmonotonic power when testing for a shift in mean of a dynamic time series, Journal of Econometrics, 88, 283-299 (1999) · Zbl 0933.62092 |
| [38] | White, H., A heteroskedasticity-consistent covariance matrix estimator and a direct test for heteroskedasticity, Econometrica, 48, 817-838 (1980) · Zbl 0459.62051 |
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