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Furuoka et al, 2018



               million in 2017. By contrast, its exports to the EU dropped from US$7,464 million in 2010 to
               US$7,397 million in 2015, and only slightly rebounded back to US$7,654 million in 2017
               (International Monetary Fund, 2017).

               The shifting trends in Singapore’s exports to China and the EU, as elaborated above, have
               raised the question of whether the country’s current export practices have a positive effect on
               its economic development.  In this study, focus is given on the relationship between the amount
               of exports and Gross Domestic Product (GDP).  Details of the data collection and data analysis
               procedures adopted in the study are described in the following section.


               Data and Methods

               This paper has selected Singapore as a case study to examine the country’s exports to China
               and  EU  and  its  contribution  to  economic  growth  in  Singapore  for  the  period  of  1975Q1-
               2017Q3. Statistics on Singapore’s exports to China and the EU were obtained from the database
               on the Direction of Trade (International Monetary Fund, 2017). On the other hand, GDP figures
               were  sourced  from  Statistics  Singapore  (2017).    All  data  on  exports  and  income  were
               transformed into natural logarithms.

               For the purpose of empirical analysis, three econometric methods were employed, namely the
               Phillips-Perron (PP) unit root test, the Johansen cointegration test and the Granger causality
               test. In the first stage of empirical analysis, the Phillips-Perron unit root test was based on the
               following equation (Phillips and Perron, 1988):

                 y      y t1                                                       (1)
                       0
                  t
                                  t

               where yt is variable of interest, β0 is intercept, α is slope coefficient for the lagged dependent
               variable, εt is disturbance term. The PP statistic was calculated as follows (Phillips and Perron,
               1988):

                               T  f (     )( se( ))
                pp   t (  0 )  2 / 1    0  0                             (2)
                      
                        f 0            f 2  0  2 / 1  s

               where tα is t-statistic of α in Equation (1), γ0 is residual variance, f0 is the long-run residual
               variance, T is number of observation, s is standard error of regression and se(α) is standard
               error of α in Equation (1). The PP test is a nonparametric unit root test which modifies the ADF
               statistics (Dickey and Fuller, 1979). In this PP statistic, the presence of serial correlation does
               not affect the asymptotic distribution of t-statistic (Phillips and Perron, 1988). The bandwidth
               length is determined by the Newey-West method.

               In the second stage of empirical analysis, this study relied on the Johansen cointegration test to
               examine  the  long-run  relationship  between  variables.  Johansen  (1991)  proposed  a  Vector
               Autoregression (VAR) for the analysis of cointegration. The Johansen test is based on the
               following VAR:

                         p
                y       i y t i                                                   (3)
                                    t
                 t
                         i1


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