Page 97 - CITN 2017 Journal
P. 97

Diagnostic Test on the Variables

         The  Sargan  test  of  over-identifying  restrictions,  suggesting  whether  the  instrumental
         variables and residuals are independent was conducted. This is to check for the validity of
         the specification of the instrumental variable used in the GMM estimation; the Sargan test
         will be implemented. Sargan Test as developed by Sargan (1958) was employed to test for
         over-identifying restrictions for one-step and two-step GMM respectively. Hence, the first
         and second order autocorrelation disturbance was also confirmed using the p-values of AR
         (1) and AR (2) using Arellano-Bond Serial Correlation Test.

         The  probability  value  of  J-statistics  of  0.548362  is  insignificant  indicating  that  the
         instruments are valid and the GMM estimates are reliable. To estimate Sargan test of over-
         identifying restriction, the formula “Scalar pval = @chisq (J-statistic, instrument rank-
         number of parameters estimated” must gives the same probability value. For the stated
         model, the Scalar P-Value was computed using ScalarPval = @chisq (34.32538, 45-9).
         The resultant value is the same P-Value as reported for J-statstics shown in Table 4. This
         indicates the validity of the instrument used.In order to confirm the efficiency of the first
         difference GMM estimator was computed and the soundness of the result with AR (1) with
         p-value of 0.0001 which is significant and AR (2) with a p-value of 0.2455 which is not
         significant, hence, there is no serial correlation in residual.

         Test of Stationarity
         Before estimating the model, the dependent and independent variables are separately
         subjected to some stationary tests using unit root test since the assumption for the classical
         regression model require that both variables be stationary and that errors have a zero mean
         and finite variance. The formulated model was tested for stationarity using the using Levin,
         Lin & Chut, Im, Pesaran & Shin W-stat, Augmented Dickey-Fuller- Fisher Chi-Square and
         Phillips-Perron (PP) - Fisher Chi-Square Unit root test to be sure that one is not analysing
         inconsistent and spurious relationship. A series that exhibit a stochastic trend, or even
         simply wanders around at random will not be stationary and cannot be forecast far into the
         future. A stationary series will constantly return to a given value and no matter the starting
         point, in the long-run, it is expected to attain that value (Hall, 1994). The Table 4 shows that
         all the variables were at level

         Table 4: Summary of Panel Unit Root Test Results



                        Levin, Lin   Im, Pesaran&   ADF - Fisher   PP - Fisher
          Variables                                                          Status
                         &Chut       Shin W-stat    Chi-Sq       Chi-Sq
                        -7.58257***   -2.75222***   141.270***   174.627***
          TOBINQ                                                              1(0)
                            (0.0000)     (0.0030)     (0.0042)     (0.0000)
                         -1.95795**     -1.29503*    123.257**   212.267***
            ETR                                                               1(0)
                            (0.0251)     (0.0977)     (0.0573)     (0.0000)
                        -5.25813***     1.33844*      121.210*   163.248***
            LEV                                                               1(0)
                            (0.0000)     (0.0904)     (0.0733)      0.0001
                        -52.2878***   -9.42506***   174.519***   177.961***
            ROA                                                               1(0)
                            (0.0000)     (0.0000)     (0.0000)     (0.0000)
                        -18.4810***   -6.21517***    56.020***    214.614***
            SIZE                                                              1(0)
                            (0.0000)     (0.0000)     (0.0003)     (0.0000)
                        -28.9996***   -7.02961***   180.088***   180.677***
            LIQ                                                               1(0)
                            (0.0000)     (0.0000)     (0.0000)     (0.0000)


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