Journal of Economic and Social Research Vol 15(2) 2013, 41-63 Transportation- Communication Infrastructure and Economic Growth: The Panel VAR Application Rudra P. Pradhan*, Bele Samadhan** and Shashikant Pandey*** Abstract. Previous studies generally find mixed empirical evidence on the relationship between transportation- communication infrastructure investment and economic growth. In this paper, we re-examine the causal relationship between transportation- communication infrastructure investment and economic growth by panel Granger causality test and by utilizing a richer panel data set that includes 34OECD countries over the period 1960-2012. Our empirical findings strongly support the existence of cointegration between transportation- communication infrastructure investment and economic growth in the long run and have bidirectional Granger causality effects. JEL Classification Codes: L96, O32, O33, O43. Keywords: Transportation- Communication Infrastructure, Economic Growth, Panel VAR. * Assistant Professor, Vinod Gupta School of Management, Indian Institute of Technology Kharagpur, India. Corresponding author. Email: [email protected] ** Research Scholar, RCG School of Infrastructure Design and Management, Indian Institute of Technology Kharagpur, India. *** Research Scholar, Vinod Gupta School of Management, Indian Institute of Technology Kharagpur, India. Rudra P. Pradhan, Bele Samadhan and Shashikant Pandey 1. Background of the Study The role of infrastructure investment in economic development is an important issue in growth literature, particularly for the development research community, government and international development agencies (see, for instance, Wilhelmsson and Wigren, 2011; Pradhan, 2010a; Glass, 2009; Delgado and Alvarez, 2007; Bose and Haque, 2005; Turnovsky, 1997; Rebelo, 1991; Barro, 1990). Over the past several years, the relationship between infrastructure investment and economic growth has been studied in a vast range of papers since the seminar work of Aschaure (1989) and become a controversial issue (see, for instance, Wahab, 2011; Chakraborty and Nandi, 2011; Rodriguez, 2010; Gramlich, 1994; Munnell 1992). There are two groups of thoughts in this notorious issue between infrastructure investment and economic growth: first, high infrastructure investment can bring high economic growth; second, high economic growth can increase the demand for infrastructure services and so induces the increased supply (Kruger, 2012). Hence, it is not just sufficient to establish an empirical relationship between infrastructure investment and economic growth; the problem of the direction of causality between the two has to be explicitly addressed. This is because the direction of causality between infrastructure investment and economic growth has significant policy implications for infrastructure policy and hence economic growth (Pradhan and Bagchi, 2012; Wolde-Rufael, 2007). For instance, a unidirectional causality running from infrastructure investment to economic growth implies that reducing infrastructure investment could lead to a decrease in economic growth. Similarly, for the case of reverse causality, running from economic growth to infrastructure investment, policies aimed at stimulating the economy by accelerating investment in the infrastructure sector may not be successful. Again for the existence of bidirectional causality between the two, policies aimed at stimulating investment in infrastructure can induce economic growth while economic growth in turn can stimulate the growth of infrastructure activity. Moreover, if there is no causality in any direction, increase or decrease of infrastructure may or may not have any effect on economic growth and economic growth may or may not stimulate the demand for infrastructure. Over and above, it might well be the case that high economic growth and high infrastructure investment are vastly correlated, but that there is no causal relationship, which has important implications for public policy (Kruger, 2012; Ozbay et al., 2007). A summary of brief controversial results 42 Transportation- Communication Infrastructure and Economic Growth: The Panel VAR Application are reported in Table 1. So the diverse empirical evidence combined with infrastructure investment being increasingly identified as one of the strong potential forces for improving economic growth, not only necessitates further research but also the use of alternative testing methodology. The paper addresses the debate by re-examining the empirical evidence using panel vector autoregressive (VAR) model, originally developed by Chamberlain (1982) and Holtz- Eakin et al. (1988). The remaining of the paper can be summarized as follows. Section 2 describes the methodology we used and data descriptions. Section 3 discusses the empirical results. The final section provides concluding remarks and policy implications. 2. Methodology The focus of the analysis is to investigate the causal relationship between public expenditure on transport-communication infrastructure and economic growth. The variables used in this paper are public investment in transportcommunication infrastructure and per capita GDP†. The data are obtained from World Development Indicators, World Bank, Washington. It consists of annual observations from 1960-2012 for 34 OECD‡ countries. The variables incorporated in the panel VAR model are used in natural logarithmic so that their first differences approach the growth rates. The descriptive statistics and correlation of these data is presented in Table 2. The correlation matrix provides signal that the relationship between transport-communication infrastructure investment and economic growth are positive and significant. However, the present study looks for this evidence by the cointegration and causality analysis. It simply tries to assess the importance of infrastructure development to economic growth, by investigating whether the development of infrastructure sector has contributed to economic growth, or whether the expansion of infrastructure sector is simply a consequence of rapid economic growth. † GDP stand for Gross domestic product. OECD stands for Organization of Economic Cooperation and Development. The countries include in this analysis are namely Australia, Austria, Belgium, Canada, Chile, Czech Republic, Denmark, Estonia, Finland, France, Germany, Greece, Hungary, Iceland, Ireland, Israel, Italy, Japan, Korea Republic, Luxembourg, Mexico, Netherlands, New Zealand, Norway, Poland, Portugal, Slovak Republic, Slovenia, Spain, Sweden, Switzerland, Turkey, the United Kingdom and the United States. 43 ‡ Rudra P. Pradhan, Bele Samadhan and Shashikant Pandey The causality between transport-communication infrastructure and economic growth is examined within the framework of Granger causality. The definition of Granger causality between two series, given by Granger (1969), is exclusively based on the predictability. Essentially, Xt is said to cause Yt, if Xt contains information in the past terms that helps in the prediction of Yt. For the reverse causation, the feedback from Yt to Xt can exist if a prediction of Xt can be significantly improved by taking into account the past values of Yt (Granger, 1988). Hence, Granger causal relation between Yt and Xt can be bidirectional if the causation is found to run in both-sided directions simultaneously (Yu et al., 2012). For this study, the Granger causality between transportcommunication infrastructure and economic growth is addressed by using the panel data of 34 OECD countries, covering the period 1960-2012. In other words, we used panel VAR§ model to examine the nexus between transport-communication infrastructure and economic growth. The panel VAR model is the application of cointegration and causality test on a panel of cross sectional units. It is a powerful technique to examine the long run nexus between time variables (Canova and Ciccarelli, 2004). The panel VAR model has an advantage to improve the power of test, which is available from the cross sectional units like states, countries, regions, etc. The VAR technique is not something new; we have extensive literature on this technique, particularly with respect to long run relationship between various time series variables. The estimation process of panel VAR model involves three steps. First, the deployment of panel unit root test to know the stationarity (i.e., order of integration) of time series variables. Second, the deployment of panel cointegration test to know the existence of long run relationship between the time series variables and estimate long run equation by using fully modified OLS (FMOLS**). Third, the deployment of VAR model to investigate the size and direction of causality between the time series variables, particularly in the panel setting. The detail descriptions of these three techniques are given below. § VAR stands for Vector-autoregressive. FMOLS is a non-parametric approach, takes into account the possible correlation between the error term and the first differences of the regressor as well as the presence of a constant term, to dealing with corrections for serial correlation (see, for instance, Maeso-Fernandez et al., 2006; Pedroni, 2000, 2001). ** 44 Transportation- Communication Infrastructure and Economic Growth: The Panel VAR Application 2. 1. Panel Unit Root Test The definitions of Granger causality have assumed that only stationary variables are involved. We deployed panel unit root tests, LLC (Levin-LinChu; Levin et al., 2002) and IPS (IM- Pesaran- Shin; Im et al., 2003), for the same. They have been deployed on the principles of conventional ADF†† test. The LLC allows for heterogeneity of the intercepts across members of the panel, while IPS allows for heterogeneity in intercepts as well as in the slope coefficients. Both the tests are applied by averaging individual ADF tstatistics across cross-section units. The test follows the estimation of following equation: pi ∆Yt = µ i + γ i Yit −1 + ∑ β ij ∆Yit − j + λi t + ε it (1) j =1 Where i = 1, 2….N; t = 1, 2…. T; Yit is the series for country i in the panel over period t; pi is the number of lags selected for the ADF regression; ∆ is the first difference filter (I –L); and εit are independently and normally distributed random variables for all i and t with zero means and finite heterogeneous variances (σi2). The IPS tests the null hypothesis of unit root for each individual in the panel, that is, H0: γi = 0 for ∀i against an alternative HA: γi < 0, i = 1, 2… N1; γi = 0, i = N1 + 1, …., N, which allows for some of the individual series to be integrated. The IPS develops the t-bar statistic calculated as a simple average across groups of the individual ADF t statistics. This is as follows: t = 1 N N γˆi ∑ σˆ i =1 (2) γˆi The standardized t-bar statistic, Ztbar, converges to standard normal distribution sequentially, as N tends to very high. The LLC unit root test is also based on model (1) but it differs from IPS in some ways. On the one hand, IPS allows the coefficients of the autoregressive term, γi, to differ across section units, while LLC considers the coefficients of the autoregressive term as homogenous across all individuals, i.e., γi = γ for ∀i . The LLC unit root test tests the null hypothesis that each individual in the panel has integrated time series, i.e., †† ADF stands for Augmented Dickey Fuller test. 45 Rudra P. Pradhan, Bele Samadhan and Shashikant Pandey H0: γi = γ = 0 for ∀i against an alternative HA: γi = γ < 0 for ∀i . Hence, under an alternative hypothesis, all single series are stationary. LLC considers pooling the cross-section time series data and it follows the t- star statistics, which is as follows: tγ = * ) γ ) s.e(γ ) (3) The t- statistic also asymptotically follows standard normal distribution. The computation of this statistics along with the determination of order of integration for each variable completes the first phase of testing for cointegration. 2. 2. Panel Cointegration Test If the series are individually integrated of same order, then they may be cointegrated (Granger, 1988). That means there is possibility of some linear combination between them. Traditional cointegration tests, such as Engle and Granger (1987) and Johansen (1988), have low power when the length of the series is low. Pedroni (2000) proposes a methodology to test for panel data cointegration, which is considered as an extension of traditional Engle and Granger (1987) two step residual-biased methods. The Pedroni’s method is used in this paper for investigating co-integration in a heterogeneous panel data (see Larsson et al., 2001). The technique starts with the following regression equation. TCI it = β 0i + β 1i t + β 2i GDPit + ε it (4) and ε it = γ i ε it −1 + ξ it (5) Where TCI is public investment in transport- communication infrastructure; GDP is per capita economic growth; i = 1, 2, ….., N; t = 1, 2…. T; β0i is the fixed effect or individual specific effect that is allowed to vary across individual cross-sectional units. The β1it is a deterministic time trend specific to individual countries in the panel. The slope coefficients β2i can vary from one individual to another allowing the cointegrating vectors to be heterogeneous across countries. Pedroni proposed seven different statistics for the cointegration test in the panel data setting (see Pedroni, 1999). Of the seven proposed statistics, first four are known as panel cointegration statistics and that is 46 Transportation- Communication Infrastructure and Economic Growth: The Panel VAR Application within-dimension statistic, while the last three are known as group mean panel cointegrating statistics and that is between-dimension statistic. Their levels are based on the way the autoregressive coefficients are manipulated to arrive at the final statistic. There are basically five steps to obtain these cointegration statistics. Step 1: compute the residuals ( εˆit ) from the panel regression (equation 4). The estimation involves the inclusion of all appropriate fixed effects, time trends or common time dummies. Step 2: Compute the residuals ( ζˆit ) from the following regression: ∆Yit = β 1i ∆X it + β 2i ∆X it + ... + β mi ∆X mit + ξ it (6) 2 ˆ Step 3: Compute ( Lˆ11 i ), the long run variance of ζ it : 1 2 Ki S T 2 2 ˆ ∑ cˆit cˆit − s L11i = ∑ cˆit + ∑ 1 − T T S =1 K i + 1 t − s +1 (7) Step 4: Compute the residuals of the ADF test for εˆit ( uˆ it ) and compute the following variances of these residuals 1 T Sˆ i2 = ∑ uˆ it2 T t =1 and ~2 1 T S NT = ∑ Sˆ i2 T t =1 (8) Step 5: Computation of panel-t and group-t statistics (see, for details, Pedroni, 2000). These statistics are asymptotically normally distributed. The null of no cointegration is then tested, based on the above description of standard normal distribution. The null hypothesis of no cointegration is H0: γi = 1 for ∀i against an alternative hypothesis HA: γi < 1 for ∀i , in the residuals from the panel cointegration. In contrast, the group means panel cointegration statistics test the null hypothesis of no cointegration against an alternative HA: γi < 1 for ∀i , which allows the possibility of an additional heterogeneity source across the countries. These statistics diverge to negative infinity under the alternative hypothesis. So, the left tail of the normal distribution is usually employed here to reject the null hypothesis (see, for more detail, Pedroni, 1999). 47 Rudra P. Pradhan, Bele Samadhan and Shashikant Pandey 2. 3. Fully Modified OLS Panel Estimates Pedroni proves that the panel OLS estimator is biased when the variables are cointegrated and suggests estimating and testing hypothesis for cointegrating vectors in dynamic panels by fully modified OLS (FMOLS). The model of FMOLS is described as follows (Pedroni, 2004): Yit = δ i + β i X it + ξ it (9) X it = X it −1 + ζ it (10) Where Y is the log of TCI or log of GDP and X represents the corresponding vector of independent variables. Let Z it = (Yit , X it )′ ~ I (1) andϖ it = (ξ it , ζ it )′ ~ I (0) with long run covariance matrix Ω i = Li Li′ . Li is the lower triangular decomposition of Ω i , which can be decomposed as Ω i = Ω 0i + Γi + Γi′ . Where, Ω i0 is the contemporaneous covariance and Γi is a weighted sum of co-variances. We can also augment the above cointegrating regression with lead and lagged differences of the regressors to control for endogenous feedback. This can be presented as follows: ki Yit = δ i + β i X it + ∑ λik ∆X it − k + ξ it (11) k = ki The panel FMOLS estimator of the β is: −1 T T 2 β = N ∑ ∑ ( X it − X i ) ∑ ( X it − X i )Yit* − Tτˆi i =1 i =1 i =1 ˆ L Where, Yit* = (Yit − Yi ) − 21i ∆X it Lˆ * NT −1 N (12) 22 i and ˆ0 − τˆi = Γˆ 21i + Ω 21i Lˆ 21i ˆ ˆ0 ) (Γ22i + Ω 22 i Lˆ 22 i 48 (13) Transportation- Communication Infrastructure and Economic Growth: The Panel VAR Application 2. 4. Panel Causality Test The panel causality test, proposed by Holtz-Eakin et al. (1988), is deployed to know the direction of causality. The proposed panel VAR model is as follows: p q k =1 k =1 ∆TCI it = η1 j + ∑ α 11ik ∆TCI it − k + ∑ α 12ik ∆GDPit − k + λ1i EC1it −1 + ε 1it (14) p q k =1 k =1 ∆GDPit = η 2 j + ∑ α 21ik ∆GDPit − k + ∑ α 22ik ∆TCI it − k + λ 2i EC1it −1 + ε 2it (15) Where TCI is public investment in transportation- communication infrastructure and GDP is per capita economic growth. The ECT is the lagged error correction term derived from the long run cointegrating relationship. The ε1it & ε2it are the disturbance terms. The null hypotheses are to test α12i ≠ 0 & λ1i ≠ 0 in equation (14) and α22i ≠ 0 & λ2i ≠ 0 in equation (15). The significance of α12 and α22 represent the possibility of short run causality, while the significance of λ1i & λ2i represent the possibility of long run causality. Moreover, the coefficients of λ1i & λ2i should be negative (Engle and Granger, 1987; Hamilton, 1994). The variables incorporated in the panel VAR model are used in natural logarithms so that their first differences approach the growth rates. The descriptive statistics and correlation of these data is presented in Table 2. 3. Empirical Results This section scans the empirical results. It deals in three parts: panel unit roots test, cointegration test; and Granger causality test. The Tables 3 and 4 summarizes the estimated results of panel unit root tests and panel cointegration tests respectively, while Table 5 summarizes the panel causality test. As the empirical findings show, when we run the panel unit root test on the original values of transport-communication infrastructure investment (TCI) and economic growth (GDP), the results show that the null hypotheses of a unit root test cannot be rejected at the 5% level. However, when we conduct the joint unit root test for the first difference of each of the two variables, we are able to reject the null hypotheses (see, Table 3). Hence, we can conclude that both variables (TCI and GDP) are integrated of order 49 Rudra P. Pradhan, Bele Samadhan and Shashikant Pandey one, i.e. I (1). It now opens the path to know, whether there is a long run equilibrium relationship between TCI and GDP. Given that each variable is integrated of order one, we test for panel cointegration using Engle and Granger’s (1987) two-step test procedure: first, estimating the long run model specified in equation (4) for obtaining the estimated residuals; and second, to check whether the residuals are stationary. If ζit are stationary, we can conclude that the two series are cointegrated. As the empirical findings show, all the statistics (Pedroni, 2000) significantly reject the null hypotheses of no cointegration and obtain a strong evidence of integration among the series. Hence, it can be concluded that TCI and GDP move together in the long run, which indicates that transport-communication infrastructure can facilitate the economic growth of 34 OECD countries and vice versa. That means it concludes that there is a long run equilibrium relationship between transport-communication infrastructure and per capita economic growth. Following Pedroni (2000), the long run equation (2) is estimated by fully modified OLS (FMOLS) in order to avoid the bias of the OLS estimator. The FMOLS results indicate that the coefficient of TCI is statistically significant and positive at 1% significance level. It justifies that a 1% increase in TCI lead to an increase of economic growth by 0.60% in the sample of OECD- 34. The estimates for individual countries show the significance of the coefficient of TCI for all countries. The results are not reported here due to space constraints and can be available with request. After knowing the status of cointegration, the next step is to check the direction of causality between transport-communication infrastructure and economic growth. According to Granger (1969), the existence of cointegration relationship implies that there will be at least a unidirectional Granger causality, which is also applicable to the panel data analysis. The panel cointegration results already cleared that GDP and TCI are cointegrated, which means that the Granger causality between GDP and TCI exists in the long run. However, we are not sure whether it is a bidirectional or unidirectional causality. Given that the variables are co- integrated, the vector error correction model (VECM) is deployed to perform the Granger causality tests in order to identify the direction of long run causality and to examine its causal relationship in the short term (Pedroni, 2004; Everaert and Heylen, 2001; Kao, 1999). 50 Transportation- Communication Infrastructure and Economic Growth: The Panel VAR Application The estimated results reflect that the coefficients of error correction term are negative and significant from both directions, which means the existence of bidirectional causality between transportation- communication infrastructure investment and economic growth in the panel of 34 OECD countries. This represents that economic growth is the Granger cause of transportcommunication infrastructure development (GDP => TCI) and transportcommunication infrastructure development is also Granger cause of economic growth (TCI => GDP). For GDP to TCI, it reflects that economic growth is indeed a major cause of rapid development of transport-communication infrastructure. This is justified on the ground that economic growth usually provides necessary financial and technical support for transport-communication infrastructure investment and improvement. Typically, most infrastructures have been financed, built, owned and operated by the governments at the various levels (see, for instance, Newell et al., 2009). To fulfill the growing demand for transport-communication infrastructure induced by increasing economic growth, the governments are supposed to make an effort on transportcommunication infrastructure creation. In this context, government should take the initiative to develop the transport-communication infrastructure, through both public-finance projects and public-private partnership modes (Mu et al., 2011). In summary, economic growth can increase the investment in transport-communication infrastructure and thus promoted infrastructure development. For TCI to GDP, it reflects that transport-communication infrastructure investment is also a major cause of economic growth. That means transport-communication investment is a productive stimulus contributing to its economic growth. The estimated results are also supported by the generalized impulse response functions (GIRFs), which are very responsive to panel VAR results. The results are not reported here due to space constraints and can be available with request. 4. Concluding Remarks and Policy Implications Understanding the policy implications of the nexus between public investment in transportation- communication infrastructure and economic growth is of great importance in the development economics. Much still needs to be understood about the various integrations between the two in order for the policy makers to make the right decisions about investments in transportations and communications in terms of not only the most efficient 51 Rudra P. Pradhan, Bele Samadhan and Shashikant Pandey use of funds, but also land use and air quality, to name a few (Kustepeli et al., 2012; Eruygur et al., 2012; Ozkan et al., 2012; Pradhan, 2010b; Ozbay et al., 2007; Pereira and Andraz, 2005; Haque and Kim, 2003; Ozbay et al., 2003; Banister and Berechman, 2003; Eberts, 2000; World Bank, 1996; Cullison, 1993; Munnell, 1992; Aschauer, 1989). We presume that public investment in transportation- communication infrastructure is a key to long run economic growth (Bose and Haque, 2005). This is since transportation- communication infrastructure is considered as a vehicle through which capital, ideas, technology, and skills are transferred across borders and hence, provide substantial spillover effect. The debate is, however, always whether transportation- communication infrastructure determines economic growth or economic growth determines transportationcommunication infrastructure development. The existing literature on the nexus between the two is far from settled (see Table 1). This paper contributes to the existing literature by exploring short- and long-run relationships between transport-communication infrastructure investment and economic growth. The study examined the causal relationship between transportcommunication infrastructure investment and economic growth in a panel Cointegration and Granger causality framework. The results show that there is a stable long run equilibrium relationship transport-communication infrastructure investment and economic growth in the panel of 34 OECD countries, namely Australia, Austria, Belgium, Canada, Chile, Czech Republic, Denmark, Estonia, Finland, France, Germany, Greece, Hungary, Iceland, Ireland, Israel, Italy, Japan, Korea Republic, Luxembourg, Mexico, Netherlands, New Zealand, Norway, Poland, Portugal, Slovak Republic, Slovenia, Spain, Sweden, Switzerland, Turkey, United Kingdom and United States. The results of Granger causality show that the bidirectional causality between the two variables exists. That means there is feedback hypothesis, which emphasizes the interdependence relationship between transportcommunication infrastructure investment and economic growth. The complementary relationship opens the possibility that transportcommunication infrastructure is a productive stimulus contributing to its economic growth and at the same time, economic growth can provide necessary support (both financial and technical) to transport-communication infrastructure investment and its improvement. Furthermore, a booming economy always creates demand for more transport-communication 52 Transportation- Communication Infrastructure and Economic Growth: The Panel VAR Application infrastructure development. This is in line with the expectations of decision makers. Figure 1 can reflect the feedback loop of transport-communication infrastructure and economic growth. That means governments have to make corresponding transport-communication infrastructure policies to achieve economic goals on the analysis of evaluating transportation and communications network. Over and above, the findings suggest that increased economic growth can induce additional investment in transportcommunications infrastructure because of the high income elasticity of transport-communication usage. It also suggests that investment in transportcommunication infrastructure may prove to be a critical tool for enhancing economic growth and closing the developmental gap in OECD countries. So the paper complements the previous studies by providing more robust results on the causal relationships between transportation- communication infrastructure investment and economic growth. 53 Rudra P. Pradhan, Bele Samadhan and Shashikant Pandey References Aschauer, A. D. (1989) “Is Public Expenditure Productive?” Journal of Monetary Economics, 23: 177-200. Banister, D. and Berechman, J. (2003) “ Transport Investment and Economic Development”. Routledge, London. Barro, R. (1990) “ Government Spending in a Simple Model of Endogenous Growth”. Journal of Political Economy, 98: 103-S125. 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Pradhan, Bele Samadhan and Shashikant Pandey Table 1: Relationship Summary of Studies Countries Yu et al., 2012 Series Nature of Causality Government transport GDP => GTI investment Ozkan et al. 2012 Government construction GCI < => GDP investment World Bank, 2009 Government construction GCI < ≠> GDP investment Shiu and Lam, 2008 Government GDP => GTI telecommunication investment Wolde-Rufael, 2007 Government GTI < => GDP telecommunication investment Changa and Nieh, 2004 Government construction GDP = > GCI investment Nijkamp and Poot, 2004 Government investment GI < => GDP Esfahani and Ramirez, Government construction GCI < => GDP 2003 investment Wang, 2002 Government investment GI < => GDP Madsen, 2002 Government construction GDP = > GCI investment Tse and Ganesan, 1997 Government construction GDP = > GCI investment Blomstrom et al., 1996 Government construction GDP = > GCI investment In this study Government investment in GTCI <=> GDP transport and communication Note: GCI: Government Construction Investment; GTI: Government Telecommunication/ transport Investment; GTCI: Government Transportcommunication Investment; and GDP: Per capita GDP. 60 Transportation- Communication Infrastructure and Economic Growth: The Panel VAR Application Table 2: Descriptive Statistics for TCI and GDP Note: TCI: Public investment in transportation- communication infrastructure; GDP: Per capita GDP; Med: Median; max: Maximum; Min: Minimum; Std: Standard Deviation; Skew: Skewness; Kur: Kurtosis. Source: Author’s calculation. Table 3: Results of Panel Unit Roots Test Note 1: TCI: Public investment in transportation- communication infrastructure; GDP: Per capita GDP; LLC: Levin-Lin-Chu panel unit root test; IPS: Im-PesaranShin panel unit root test Note 2: *: Indicates statistical level of significance at 1%. Note 3: The critical values for LLC test are derived from Levin and Lin (1992) [see Table 3]; and the critical values of IPS test are derived from Im et al. (1997) [see Table 4]. Source: Author’s calculation. 61 Rudra P. Pradhan, Bele Samadhan and Shashikant Pandey Table 4: Results of Panel Cointegration Tests for Heterogeneous Panel Note 1: The parentheses indicate the probability level of significance. Note 2: The critical values for the panel cointegration tests are derived from Pedroni (2001). Source: Author’s calculation. Table 5: Results of Panel Causality Test Note 1: The parentheses indicate standard errors; *: Indicate statistical level of significance at 5%. Note 2: The critical values are as usual structure for t-test and F-test. Source: Author’s calculation. 62 Transportation- Communication Infrastructure and Economic Growth: The Panel VAR Application Figure 1: Feedback Loop of Economic Growth to TransportCommunication Infrastructure 63
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