Page 368 - Contributed Paper Session (CPS) - Volume 2
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CPS1888 Chen C. et al.
                  are  obtained  by  adding  up  the  three-month  GST  value  of  these  units. We
                  assume  there  is  no  uncertainty  arising  from  the  use  of  modelling  and/or
                  sampling, as actual data is used.
                      Direct transformed approach - The direct transformed approach uses one
                  part of the GST data that is fit for use, to estimate another part of the data
                  which can meet most our quality criteria, but the reporting frequency is not fit
                  for the purpose of producing quarterly outputs. This method is applied to the
                  GST two-monthly and six-monthly filers with simple reporting structures.
                     •  For two monthly filers we always have one month of GST data for the
                        reference quarter missing, either the first month data or the third month
                        data,  depending  on  the  reporting  type  of  the  filer.  Modelling  in
                        conjunction with monthly filers is used transform the two-monthly data
                        to quarterly data, with no other data sources involved. The estimated
                        quarterly GST value of a two-monthly filer can be calculated as follows
                                                           ̂
                                                    ̂    =   
                                                             

                  Where   is a ratio of the total GST value of eligible monthly filers for the three
                          ̂
                          
                  months of the reference quarter, to their GST value for the two months where
                  the two-monthly filer files a GST return.

                                                 ∑ 3   ∑    ℎ
                                             ̂
                                             =   =3−2  =1  ,,
                                              
                                                 ∑     ∑    ℎ
                                                   =−1  =1  ,,

                  Where
                          ℎ  =    ℎ 
                            =     ℎ 
                          = ℎ       [1~4]
                          = ℎ ℎ  ℎ  ℎ  ℎ   ℎ 
                              [1~12]  =   
                                                                             
                          =     ℎ    = {
                                                                             
                          =       {1, … , }, ℎ  ℎ    ℎ
                              ℎ
                         
                  For the two-monthly data we have implemented a quality indicator in selected
                  outputs, measuring the variability in the aggregate estimates that occurs in
                  the data transformation.

                     •  Six monthly filers can file GST returns in any two months of the year that
                        are six months apart. That means we always have to deal with data filed
                        for six different months and which contains the reference quarter. Firstly,
                        we disaggregate six-monthly data to two-monthly data based on the

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