Page 169 -
P. 169

166                                                         G. Polhill



                       aptly  linear  by  have    <  *  2)  loss  close’  0.5),  weighted:  model  *
                       (the  hence  a  as  (estimated)  we  likelihoods  2     est.aic2,  /  information  >  the
                       AIC  and  such  assume  model2,  been  <  <  ‘reasonably  2)  be
                       the  likelihood  object,  computed  we  and  estimated  have  vdata:est.aic1  the  are  /  can  otherwise,
                       compute  the  model  Here  model1  and  which  of  est.aic1 ((est.aic1--est.aic2)  minimize  models  predictions  2);  log(length(vdata))--2


                       to  uses  fitted  be  to  likelihood.  k2  both  same log(est.lik1)est.aic2  to  two  their  exp  /  rejected
                       function  function  a  has  AIC  matrices  and  k1  model1  the  If ((est.aic1--est.aic2)  so,  by  be


                       a   passed  the  estimated  output  est.lik2,  the  log(est.lik2)If  data.  do  to  model2  would  k  *
                       provides  this  being  ABMs,  with  parameters  and  using  *  exp  is  as  the  sense  by1and ((est.aic1--est.aic2)  AIC    log(est.likelihood)


                       R  AIC()),  is  it  For  the  using  models  of  k1-2  *  model2  probable  to  respect  makes  higher  <
                     code  Although  named  assumes  model.  numbers  est.lik1  computed  *  k2-2  as  exp  it  model1  est.bic
                     R         hand  two  2  then  times  with  (e.g.  and  with

                       for  have   model  of  the  during  form  and  n,  with  the  of
                       used  must  to  any  intended  number  minimally  incremented  to  ‘noise’  ABM’s  well  to  log  k  hence  AIC,

                       be      of  not  is  the  model  equivalent  AIC  selection  AIC:  and  length
                       can  models  application  is  AIC  using  the  is  the  probability  be  Gaussian  your  could  the  the  the  the
                       that  The  likelihood  the  AIC  The  with  of  k  in  should  be  a  in  k  of  model  than  AIC  the  is  n  with  as
                       measure  data.  maximum  makes  the  of  context  associated  penalization  purposes,  adjusting  from  k  would  with  models  ‘count’  incrementing  applicability  preferred  for  parameters  in  (as  and  ABM),  Just  k.


                       theoretic  same  the  of  the  than  value  absolute  comparison  loss  a  includes  our  For  (k).  been  have  samples  has  parameters,  (This  too.  might  what  of  the  are  AIC  principles  for  parameters  to  applying  >>  n  that  preferred  are


                       information  models  selecting  by  restriction  a  –  The  model  information  and  data  has  model  you  model  hard-coded  parameters  mathematical  for  about  purposes  the  questioning  smaller  with  Bayesian  on  term  penalty  of  number  when  required  BIC  smaller



                       an  is  various  calibrated  challenging.  a  outside  the  the  the  parameters  your  If  with  those  of  k  Debate  for  code  further  of  Models  based  is  stronger  the  is  issues  is  It  with
                     Description  AIC  The  comparing  been  parameterization  ABM  interest  represent  to  estimate  to  parameters  of  number  calibration.  distributions  each  for  incrementing  parameter.)  program  basis  the  ABMs  BIC  The  a  uses  k  where  same  the  vector.  vdata  models



                  (continued)  (AIC)                          information  (BIC)




                  8.3    information
                  Table  Metric  Akaike  criterion            Bayes  criterion
   164   165   166   167   168   169   170   171   172   173   174