Page 28 - Contributed Paper Session (CPS) - Volume 7
P. 28

CPS2020 Honeylet T. S.
                  RBIAS decreases. Also, the RBIAS under these two matching methods are lower
                  compared to those of random hot deck imputation.
                      The  three  estimation  procedures  yield  similar  results  under  Poisson
                  regression  and  MCMC  imputation  matching  methods,  although  Poisson
                  regression without bootstrap and bootstrap within methods yield the lowest
                  RBIAS. Poisson regression without bootstrap produces the lowest RBIAS when
                  the true coefficient of X1 has dominating effect on Y in the data generating
                  process.
                      Generally,  bootstrap  within  method  produces  lowest  RBIAS  when  true
                  coefficients of X1 and X2  have equal effect on Y. Furthermore, under random
                  hot deck imputation, bootstrap across method produces the largest RBIAS
                  which are far from values produced by the other two estimation methods.
                      When the common variable used is X2 and X1 has dominating effect on
                  both Y and Z, resulting RBIAS are larger. This is true for Poisson regression
                  imputation  and  MCMC  imputation  which  generally  have  similar  results,
                  although MCMC imputation has the lowest RBIAS in most cases. In general,
                  bootstrap within and bootstrap across estimation methods under these two
                  matching methods have lower RBIAS.
                      Furthermore, under Poisson regression imputation and MCMC imputation
                  the differences of RBIAS values among the three estimation procedures are
                  not  large.  However,  under  random  hot  deck  imputation,  bootstrap  across
                  method yields large RBIAS values far from values yielded by using Poisson
                  regression without bootstrap and bootstrap within methods. Bootstrap within
                  reduces RBIAS in scenario cases when X1 and X2 have equal effect on both Y
                  and Z while X1 and X2 have low correlation.
                      Regardless of the common variable, the three estimation procedures yield
                  similar results although bootstrap within and bootstrap across always have
                  lower MAE values than those of Poisson regression without bootstrap. For
                  small sample (size 200), bootstrap within produces lowest MAE values. This is
                  true  for  all  matching  methods.  Also,  under  random  hot  deck  imputation,
                  bootstrap  within  always  yields  lowest  MAE  values  compared  to  those
                  produced  by  using  Poisson  regression  imputation  and  MCMC  imputation.
                  Moreover,  comparable  results  were  produced  by  using  Poisson  regression
                  imputation and MCMC imputation methods, while larger MAE values were
                  produced by using random hot deck imputation.
                  Ratio of Data Source A and Data Source B to total sample
                      When  common  variable  used  is  X1,  RBIAS  produced  by  the  three
                  estimation procedures are comparable when matching methods are Poisson
                  regression  imputation  and  MCMC  imputation.  Generally,  when  X1  has
                  dominating effect on Y, Poisson regression imputation yields the lowest RBIAS.
                       Also, lower RBIAS results from using Poisson regression imputation for
                  scenario cases that satisfy all of the following conditions: (a) X1, X2 have equal

                                                                      17 | I S I   W S C   2 0 1 9
   23   24   25   26   27   28   29   30   31   32   33