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STS547 Owen A.
                   Figure 11: Percentage difference from census estimates for males by five-
                                             year age group
                                            England and Wales, 2011




















                        Source: Office for National Statistics
                   Further work is being undertaken to refresh the simulation framework from
               the earlier studies to enable a fuller evaluation of the performance of all of
               these versions of capture-recapture estimators.

               4.  Discussion and Conclusion
                   Capture-recapture  methods  depend  heavily  on  the  underlying
               assumptions being met, and when they are not estimates based upon them
               are biased. This is clearly not desirable when using such techniques for official
               statistics about the size of the population. This paper has outlined various ways
               that National Statistical Institutes are attempting to tackle this issue in the
               context of using administrative data to drive such estimates. Essentially, it is
               an exploration of ways in which the assumptions can be balanced in different
               ways according to the likely qualities of the data.
                   The  methodological  challenges  of  transforming  population  statistics
               should  not  be  underestimated.  ONS  is  devoting  significant  resources  to
               exploring what might be possible, and this paper only touches the surface of
               those that need and are being addressed. For instance, other methodological
               challenges  not  covered  here  include  data  linkage,  disclosure  control,
               uncertainty measurement and the output definitions. Research is into these is
               continuing apace.

               References
               1.  Abbott, O., Castaldo, A., Racinskij, V., Ross, H., Smith, P. A. and Brown, J. J.
                   (2015) Developing a weighting-class approach for the 2021 Census.
                   Accessed at:
                   www.researchgate.net/publication/305710321_Developing_a_weighting-
                   class approach for the 2021 Census


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