Panel Stationarity Test with Structural Breaks

In this paper, we extend the heterogeneous panel data stationarity test of Hadri [Econometrics Journal, Vol. 3 (2000) pp. 148–161] to the cases where breaks are taken into account. Four models with different patterns of breaks under the null hypothesis are specified. Two of the models have been already proposed by Carrion-i-Silvestre et al.[Econometrics Journal,Vol. 8 (2005) pp. 159–175]. The moments of the statistics corresponding to the four models are derived in closed form via characteristic functions.We also provide the exact moments of a modified statistic that do not asymptotically depend on the location of the break point under the null hypothesis. The cases where the break point is unknown are also considered. For the model with breaks in the level and no time trend and for the model with breaks in the level and in the time trend, Carrion-i-Silvestre et al. [Econometrics Journal, Vol. 8 (2005) pp. 159–175]showed that the number of breaks and their positions may be allowed to differ acrossindividuals for cases with known and unknown breaks. Their results can easily be extended to the proposed modified statistic. The asymptotic distributions of all the statistics proposed are derived under the null hypothesis and are shown to be normally distributed. We show by simulations that our suggested tests have in general good performance in finite samples except the modified test. In an empirical application to the consumer prices of 22 OECD countries during the period from 1953 to 2003, we found evidence of stationarity once a structural break and cross-sectional dependence are accommodated.

ARE OECD MACROECONOMIC VARIABLES TREND STATIONARY? EVIDENCE FROM PANEL STATIONARITY TESTS ALLOWING FOR A STRUCTURAL BREAK AND CROSS-SECTIONAL DEPENDENCE

This article applies the panel stationarity test with a break proposed by Hadri and Rao (2008) to examine whether 14 macroeconomic variables of OECD countries can be best represented as random walk or stationary fluctuations around a deterministic trend. In contrast to previous studies, based essentially on visual inspection of the break type or just applying the most general break model, we use a model selection procedure based on BIC. We do this for each time series so that heterogeneous break models are allowed for in the panel. Our results suggest, overwhelmingly, that if we account for a structural break, cross-sectional dependence and choose the break models to be congruent with the data, then the null of stationarity cannot be rejected for all the 14 macroeconomic variables examined in this article. This is in sharp contrast with the results obtained by Hurlin (2004), using the same data but a different methodology.

Evidence of panel stationarity from Chinese provincial and regional income

The aim of this paper is to examine whether Chinese provincial and regional real GDP and per capita real GDP are panel stationary for the period 1952–2003. We allow for multiple structural breaks based on a technique developed by Carrion-i-Silvestre et al. [Carrion-i-Silvestre, J. L., Barrio-Castro, T, D., & Lopez-Bazo, E. (2005). Breaking the panels: An application to the GDP per capita. Econometrics Journal, 8, 159–175]. Allowing for at most five structural breaks, we find that for 67% of the provinces, per capita real GDP is stationary; while we only find stationarity of real GDP for 17% of the provinces. However, when we extend the analysis to panel data models, we find statistically strong evidence of panel stationarity of Chinese provincial and regional income.

Is income inequality persistent? Evidence using panel stationarity tests, 1870-2011

Using data on inequality for 21 OECD countries over the period 1870-2011 this paper tests the Piketty hypothesis that income inequality is likely to grow in the 21st century. It is shown that the null hypothesis of trend stationarity of inequality cannot be rejected at conventional significance levels, suggesting that shocks to income inequality are likely to be temporary.

Is Asian per capita GDP panel stationary?

The goal of this paper is to examine whether per capita GDP for 15 Asian countries is panel stationary. We apply a panel test for stationarity that allows for multiple structural breaks developed by Carrion-i-Silvestre et al. (Econ J 8: 159–179, 2005). Our main findings are: (1) when we apply conventional tests, such as the ADF and KPSS univariate tests without structural breaks, we find little evidence for stationarity; (2) when we apply the KPSS univariate test with multiple structural breaks, we find evidence of stationarity for 10 out of 15 countries; and (3) when we apply the KPSS panel test with multiple structural breaks, we find overwhelming evidence of panel stationarity of per capita real GDP for different panels of Asian countries.

Are shocks to real output permanent or transitory? Evidence from a panel of Pacific Island countries

Panel unit root and stationarity tests without structural breaks suggest that for eight Pacific island economies real gross domestic product (GDP) per capita contains a unit root. The panel stationarity test that accommodates structural change in the trend function, however, finds evidence in favour of regimewise trend stationarity. This result points to the importance of taking structural breaks into account. The finding implies that, for the period considered, the permanent secular component of output is dominated by transitory fluctuations accompanied by infrequent changes in the trend function. The only exceptions are Fiji and Kiribati, for which individual stationarity tests with multiple structural breaks suggest that real GDP per capita contains a unit root.

Testing the law of one price in food markets: evidence for Colombia using disaggregated data

This paper applies stationarity tests to examine evidence of market integration for a relatively large sample of food products in Colombia. We Önd little support for market integration when using the univariate KPSS tests for stationarity. However, within a panel context and after allowing for cross sectional dependence, the Hadri tests provide much more evidence supporting the view that food markets are integrated or, in other words, that the law of one price holds for most products.

Response of inflation to shocks: new evidence from Sub-Saharan African countries

In this paper, we investigate whether or not the inflation rate of 17 Sub-Saharan African countries can be modelled as a stationary process. We achieve this goal through using univariate and panel stationarity tests for data over the period 1966 to 2002. We use the Kwiatkowski, Phillips, Schmidt and Shin (KPSS, 1992) univariate test and allow for multiple structural breaks. We find that except for Burkina Faso, Burundi and Gambia, the inflation rate is stationary for the rest of the 14 countries. We then apply the panel version of the KPSS test, developed by Carrion-i-Silvestre et al. (2005), which accounts for multiple structural breaks. We find strong evidence of panel stationarity of the inflation rate. However, for a panel consisting of Burkina Faso, Burundi and Gambia, we could not find evidence that the inflation rate is stationary. © 2013 Elsevier B.V.

TESTING FOR STATIONARITY IN HETEROGENEOUS PANEL DATA IN THE CASE OF MODEL MISSPECIFICATION

This paper investigates the performance of the tests proposed by Hadri and by Hadri and Larsson for testing for stationarity in heterogeneous panel data under model misspecification. The panel tests are based on the well known KPSS test (cf. Kwiatkowski et al.) which considers two models: stationarity around a deterministic level and stationarity around a deterministic trend. There is no study, as far as we know, on the statistical properties of the test when the wrong model is used. We also consider the case of the simultaneous presence of the two types of models in a panel. We employ two asymptotics: joint asymptotic, T, N -> infinity simultaneously, and T fixed and N allowed to grow indefinitely. We use Monte Carlo experiments to investigate the effects of misspecification in sample sizes usually used in practice. The results indicate that the assumption that T is fixed rather than asymptotic leads to tests that have less size distortions, particularly for relatively small T with large N panels (micro-panels) than the tests derived under the joint asymptotics. We also find that choosing a deterministic trend when a deterministic level is true does not significantly affect the properties of the test. But, choosing a deterministic level when a deterministic trend is true leads to extreme over-rejections. Therefore, when unsure about which model has generated the data, it is suggested to use the model with a trend. We also propose a new statistic for testing for stationarity in mixed panel data where the mixture is known. The performance of this new test is very good for both cases of T asymptotic and T fixed. The statistic for T asymptotic is slightly undersized when T is very small (