Page 156 - Contributed Paper Session (CPS) - Volume 3
P. 156

CPS1979 Francisco N. de los R.
                  In the analysis, three values of M were used: twenty thousand, thirty thousand
                  and forty thousand all with 50% burn-in. The posterior samples are then used
                  to construct samples  ()   = ( 1 ()  , … ,  () ), using the inverse logit transform
                                                        

                                ()        ()   ()             ()    ()
                                  =  (   +   ) / [1  +   (   +   )].
                                          0                     0       

                  The jth sample from the posterior distribution of D is constructed as

                                  ()  ()
                                     − 
                                 |
                                  
                    ()  = ∑   2 () (1− () | )  ,  = 1, … ,   where  ()  = (∑     () )/(∑    ).
                           =1
                                                                      =1
                                                                                         
                                                                                    =1
                                                                           
                                                                              

                  Finally,  D  can  be  estimated  by  the  median  of { (1) , … ,  () },  while  a  95%
                  credible  interval  is  obtained  from  the  2.5   and  97.5   quantiles  of
                                                                 th
                                                                             th
                  { (1) , … ,  () }.

                      Voter  Participation  in  the  Philippine  National  and  Local  Elections
                  (NLE) of 2016, official data from the Commission on Elections was used in the
                  research. Since voter turnout is viewed here in a spatial data analysis paradigm,
                  and  therefore  contiguity-sensitive,  turnout  from  overseas  voting  was  not
                  included.  Provincial  level  information  on  number  of  registered  voters  and
                  actual voter turnout for 86 areal units comprise the entirety of the dataset. This
                  includes  special  readings  for  the  cities  of  Isabela  and  Cotabato,  which are
                  labeled special provinces, and the four districts of Manila. Proximity due to
                  common-border cannot be used since there are 15 provinces which islands.
                  These  are  Batanes,  Biliran,  Bohol,  Camiguin,  Catanduanes,  Cebu,  Dinagat,
                  Guimaras, Marinduque, Masbate, Palawan, Romblon, Siquijor, Sulu and Tawi-
                  Tawi. Here, connectivity was based on a nominated critical distance. Special
                  consideration arose for the island of Palawan since a large critical distance was
                  needed  for  it  to  have  just  one  neighbor.  Thus  for  this  specific  province,
                  indication of geographic integration like presence of boat routes and trade
                  with  a  nearby  province was  used.  This  led  to  Iloilo  being  set  as  Palawan’s
                  neighbor.  The  proximity  matrix  was  then  revised  to  force  a  neighbor  for
                  Palawan. Areal centroids were identified via the Universal Transverse Mercator
                  (UTM)  coordinate  system.  Inter-unit  distance  was  computed  via  these
                  coordinates. Created a proximity matrix W based on   distance of at most a
                                                                       1
                  nominated .
                                                1,    ( ,  ) ≤  
                                                            
                                                               
                            = { } has  = {         1                 ;       = 0
                                          
                                  
                                                                              
                                                0,
                                                        ( ,  ) ≤ 
                                                         1    

                      Several values were tried for  but only in   =  500 UTM units did all areal
                  units, except Palawan, had at least one neighbor. Iloilo was forced to become
                  Palawan’s neighbor by virtue of transportation and trade relations. A distance
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