Page 157 - Contributed Paper Session (CPS) - Volume 3
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CPS1979 Francisco N. de los R.
            decay term was introduced to the spatial variance matrix in accordance to
            Tobler’s principle. The term is ( ) =   −3   where   is the inter-centroid
                                              
                                                                 
            distance  between  areal  units  and .  A  piecewise  mean  function  was  also
            generated for two clusters: voter turnout > 80% where the mean turnout is
            83%  and  voter  turnout  is  73%.  The  logit  transform  of  the  proportions  are
            generated from a multivariate Gaussian distribution with a mean of 0.99 (logit
            corresponding to the mean turnout of 73%) or 1.73 (logit corresponding to
            the mean turnout of 83%). Low, moderate and high (on account of Cotabato
            City) spatial variation scenarios were investigated. The Bayesian model was
            fitted at  = 20,000 , 30,000  40,000 MCMC samples. Parameter estimation
            proceeded  after  50%  burn-in.  Data  integration,  computation  of  proximity
            matrix and testing for spatial autocorrelation were done in Geoda. Modelling
            was  done  in  R  CARBayes  package  with  extensive  use  of  the  S.CARleroux
            function.

            3.   Results
                Voter turnout was generally high in the NLE of 2016 as indicated by an
            average of 79% across the 86 areal units (Figure 1). The special province of
            Cotabato City was outlying with a turnout of only 48%. There was a significant
            positive spatial autocorrelation in voter turnout (Moran’s I = 0.22, p = 0.0067).
            This indicates that areas with relatively higher voter turnout are spatially close.
            A similar conclusion can be said of areas with relatively lower voter turnout.
            There  is  suggestion  of  parity  in  voter  participation  across  provinces  as
            evidenced by a dissimilarity index of D=0.15. The 95% confidence interval is
            (0.113, 0.175) based on 10,000 bootstrap samples.

                 Figure 1. Registered Voters, Actual Voters and Voter Turnout in the
                           Philippine National and Local Elections of 2016

























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