Different methods to complete datasets used for capture-recapture estimation: Estimating the number of usual residents in the Netherlands

S.C. Gerritse, B.F.M. Bakker, P.G.M. van der Heijden

Research output: Contribution to journalArticleAcademicpeer-review

Abstract

We are interested in an estimate of the usual residents in the Netherlands. Capture-recapture estimation with three registers enables us to estimate the size of the total population, of which the usual residents are a part. However, usual residence cannot be used as a covariate because it is not available in one of the registers.We approach this as a missing data problem. There are different methods available to handle missing data. In this manuscript we use Expectation Maximization (EM) algorithm and Predictive Mean Matching (PMM). The EM algorithm is often used in categorical data analysis, but PMM has the advantage
of flexibility in the choice for a specific part of the observed data used for the imputation of the missing data. Four scenarios have been identified where the missing data are completed via either the EMalgorithm or PMMimputation, resulting in different population size estimates for usual residence. It was found that the different scenarios lead to different population size estimates.
Even small changes in the completed data lead to different population size estimates. In this study PMM imputation performs best according flexibility and it is theoretically better motivated.
Original languageEnglish
Pages (from-to)613–627
Number of pages15
JournalStatistical Journal of the IAOS
Volume31
Issue number4
DOIs
Publication statusPublished - 2015

Keywords

  • Predictive mean matching
  • EM-algorithm
  • capture-recapture
  • usual residents
  • census

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