The African Financial Review July-August 2014 | Page 63

this, the study assumed study that there is a connection between the level of growth experienced in a country in the preceding year with that of the current level, that is, the level of growth achieved in the previous year has a link with the level of growth that the country would attain in the current year. In other words, there is integrated growth in the country. This is particularly necessary because the economy is assumed not to exist in isolation; there are interconnections among the various sectors in the economy, hence, the economic activities in the preceding year have a bearing with current economic activities. This is why the dynamic panel data is used in this study to estimate this link. Thus the linear dynamic panel data model is expressed as: Grgdpit = α 1Grgdpi,t-1 + α 2INST it + α 3TLIB it + vi + eit (3.8) where; Grgdpt-1: one period lag of growth rate of real GDP; INST is a vector that comprises of strictly institutional exogenous covariates (ones dependent on neither current nor past eit ); TLIB is the trade liberalization exogenous covariate.Thus, expressing equation (3.8) in dynamic panel data form putting all the variables in equation (3.6) gives equation (3.9): lGrgdpit = α0i + α1ilGrgdpt-1 + α2ilGkapit + α3ilLabit + α4ilHkapit + α5iRepriskit + α6iPolrigit + α7iEthsionit + α8ilOpenit + α9ilNareit + α 10ilTaxesit + εit (3.9) Equation (3.9) was estimated using the Generalized Methods of Moments (GMM) technique. Data analyses and discussion In this section, data analysis and discussion of results for this study are made. The unit root test is used to test the nature of time series to determine whether they are stationary or non-stationary. If a time series is stationary, it means that its mean, variance and auto covariance are the same at the very point they are measured. That is, they are time invariant. But if the mean, variance and auto covariance of a time series are not the same at any point they are measured, the time series is non stationary. This is a unit root problem. This implies that the study of the behaviour of that time series is only possible for the time period under consideration. It cannot be generalized to other time periods. Such time series may be of little value for forecasting. The stationarity of the time series is important because correlation could persist in non stationary time series even if the sample is very large and may result in what is called spurious or nonsense regression (Yule, 1989; Wei, 2006). Thus, in order not to have spurious results, this study carried out panel unit root tests. The panel unit test can be carried out on a pooled data when two conditions are met; first, the time series and cross-sectional observations must be more than fifteen years each and second, the panel must be balanced, that is, there should not be any missing data. These two conditions are met by this study. There are thirty countries selected and the time period is twentyeight years; while the data used is a balanced one. Panel unit root test is the panel data (both time series and cross- sectional data) version of the time-series unit root test. The null and alternative hypotheses are formulated as: H0: All panels contain unit roots. H1: At least one panel is stationary. The rule of thumb for decision making under panel unit root test involves the rejection of the null hypothesis at the 1 percent statistical significance level, this implies that all panel series in the panel data set do not contain a unit root; therefore, at least one panel is stationary. This automatically implies the acceptance of the alternative hypothesis which means that at least one panel is stationary. The results presented in Table 1 are the panel unit root tests of the variables. It reveals that all the variables used in the growth model are statistically significant at 1 percent and are stationary at levels. Therefore, we reject the null hypothesis that states that all panels contain unit roots. This means that there are no unit roots in the panels of this study, therefore, this implies that at least one panel is stationary. The implication of this is that the variables are stationary which means that the results obtained from this study Table 1: Augmented Dickey Fuller (ADF) unit root test results at levels Variables Chi-squared Statistic Remark Lngrgdp 206.02*** (0.0000) I(1) Stationary Lnssenr 132.43*** (0.0086) I(1) Stationary Lngkap Lnpsenr Lnopen Ethsion Reprisk Polrig Lntaxes Lnnare Number of panels 30 142.09*** (0.0034) 123.02*** (0.0000) 181.09 *** (0.0002) 244.47*** (0.0000) 128.87*** (0.0012) 89.61*** (0.0084) 88.23*** (0.0074) 166.12*** (0.0000) I(1) Stationary I(1) Stationary I(1) Stationary I(1) Stationary I(1) Stationary I(1) Stationary I(1) Stationary I(1) Stationary Number of periods 26 Source: Estimated by the Author. Probability values are displayed in parentheses beside the chi-squared coefficients. Note: *** - significant at 1 percent, ** - significant at 5 percent. The African Financial Review | 63