Page 25 - Contributed Paper Session (CPS) - Volume 8
P. 25

CPS2151 Sarah B. Balagbis
             Legend C – two methods comparable; x – proposed method is inferior to the time series cross section
             regression (GLS); * - proposed method better than GLS; blank – both values are far from the true value.

            4.  Discussion and Conclusion
            The following conclusions are arrived at based on the simulation results:
            1.  Covariate  parameter  estimates  change  minimally  only  regardless  of  the
               extent of structural perturbation and/or panel heterogeneity (5% or 10%)
               and regardless of the location of the perturbation except when 5% panel
               heterogeneity and structural change is spread all throughout the three (3)
               locations.
            2.  Robustness:  (a) With no perturbation  or with structural change, β1 and β2
               estimates are robust and are comparable for the two methods;  (b) With
               panel  heterogeneity,    β1  and  β2  estimates  are  better  for  the  proposed
               procedure except β2 with 5% panel heterogeneity which proves to be just
               comparable; (c) With panel heterogeneity and structural change, β1 and β2
               estimates  are  better  for  the  proposed  procedure  except  when  5%
               perturbation are spread all throughout the three (3) locations.
            3.  Efficiency: (a) With no perturbation or in the presence of structural change,
               the covariable parameter estimates for the two methods are comparable;
               (b)  With  panel  heterogeneity  or  a  mixture  of  panel  heterogeneity  and
               structural change, GLS  is more efficient though the  β1 estimates of the
               proposed  method  can  also  be  considered  efficient  since  the  values  are
               generally small (except when 5% panel heterogeneity and structural change
               is spread all throughout the three (3) locations.
            4.  Reliability:  With no perturbation or with structural perturbation, the β1 and
               β2 estimates of the proposed method are reliable and comparably reliable
               to its GLS counterpart.
                Assessing the effect on the ρ estimate when the temporal parameter is
            estimated first before the covariate parameters are estimated or  when the
            temporal  parameter  is  estimated  simultaneously  with  the  covariate
            parameters would be informative.













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