Page 13 - AEI Insights 2018 Vol 4 Issue 1
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AEI Insights, Vol 4, Issue 1, 2018


               where yt is k-vector of variables, p is lag order, μ is intercept, βi are slope coefficients and εt is
               error term.  Equation (3) can be transformed into:

                                  p
                 y      y t1     i  y t i                                   (4)
                                             t
                  t
                                 i1
               where Π is coefficient matrix for the lagged dependent variables and Γ is the coefficient matrix
               for the lagged differenced dependent variables. Furthermore, the coefficient matrix Π can be
               written as:

                                                                                      (5)

               where α is the vector of adjustment parameter and β is the vector of cointegrating equation. In
               this study, the maximum eigenvalue method was used to estimate the Johansen test statistic.
               Due to the limited number of observations, the lag order was set up as one in the current study.

               In the third stage of empirical analysis, the Granger causality test was employed to analyse the
               causal  relationship  between  variables.  The  Granger  causality  test  could  be  based  on  the
               following equations (Granger, 1969):

                             p             p
                                       i 
                         1 
                GDP          i 1  EXP    i 2  GDP  
                                      t
                                                    t
                                                          t 1
                    t
                                                     i
                            i 1          i 1

                                       i 
                         2 
                EXP       p   i 3  GDP   p   i 4  EXP         (6)
                                                    t
                                      t
                    t
                                                           t 2
                                                      i
                             
                                           
                            i 1            i 1

               There were two null hypotheses in the current study. The first null hypothesis of no causality
               from exports to economic development can be formulated as:

                  11    12   .......... ...  1p   0                                     (7)


               The second null hypothesis of no  causality from economic development to exports can be
               formulated as:

                  21    22   .......... ...  2 p   0                                    (8)

               The Granger causality test was used to test four alternative hypotheses that would explain
               causal relations between variables. The first hypothesis is on export-led economic development
               (ELED). According to this hypothesis, exports can be considered as a source of economic
               development. The ELED hypothesis would be substantiated if the empirical findings could
               point to the presence of a unidirectional causality from exports to economic development. The
               rejection of the first null hypothesis (Equation 8) and non-rejection of the second hypothesis
               (Equation 9) would provide empirical evidence to support this hypothesis.

               The second hypothesis concerns development-led export expansion (DLEE). In other words,
               economic  development  will  lead  to  export  expansion.  The  DLEE  hypothesis  would  be
               substantiated if the empirical findings could identify the presence of a unidirectional causality
               from  economic  development  to  export  expansion.  The  rejection  of  the  second  hypothesis


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