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An Overview of Population Size Estimation where Linking Registers Results in Incomplete Covariates, with an Application to Mode of Transport of Serious Road Casualties Cover

An Overview of Population Size Estimation where Linking Registers Results in Incomplete Covariates, with an Application to Mode of Transport of Serious Road Casualties

Open Access
|Mar 2018

References

  1. Alho, J.M. 1990. “Logistic Regression in Capture-Recapture Models.” Biometrics 46(3): 623-635. Doi: http://dx.doi.org/10.2307/2532083.10.2307/2532083
  2. Baker, S.G. 1990. “A Simple EM Algorithm for Capture-Recapture Data with Categorical Covariates (with discussion).” Biometrics 46: 1193-1197. Doi: http://dx.doi.org/10.2307/2532461.10.2307/2532461
  3. Bell, W.R. 1993. “Using Information from Demographic Analysis in Post-Enumeration Survey Estimation.” Journal of the American Statistical Association 88(423): 1106-1118. Doi: http://dx.doi.org/10.2307/2290805.10.1080/01621459.1993.10476381
  4. Bishop, Y.M.M., S.E. Fienberg, and P.W. Holland. 1975. Discrete Multivariate Analysis, Theory and Practice. New York: McGraw-Hill. Doi: http://dx.doi.org/10.1007/978-0-387-72806-3.10.1007/978-0-387-72806-3
  5. Brown, J., O. Abbott, and I. Diamond. 2006. “Dependence in the 2001 One-Number Census Project.” Journal of the Royal Statistical Society: Series A (Statistics in Society) 169: 883-902. Doi: http://dx.doi.org/10.1111/j.1467-985X.2006.00431.x.10.1111/j.1467-985X.2006.00431.x
  6. Brown, J., O. Abbott, and P.A. Smith. 2011. “Design of the 2001 and 2011 Census Coverage Surveys for England and Wales.” Journal of the Royal Statistical Society: Series A (Statistics in Society) 174(4): 881-906. Doi: http://dx.doi.org/10.1111/j.1467-985X.2011.00697.x.10.1111/j.1467-985X.2011.00697.x
  7. Brown, J.J., I.D. Diamond, R.L. Chambers, L.J. Buckner, and A.D. Teague. 1999. “A Methodological Strategy for a One-Number Census in the UK.” Journal of the Royal Statistical Society: Series A (Statistics in Society) 162(2): 247-267. Doi: http://dx.doi.org/10.1111/1467-985X.00133.10.1111/1467-985X.0013312349249
  8. Buckland, S. and P. Garthwire. 1991. “Quantifying Precision of Mark-Recapture Estimates Using the Bootstrap and Related Methods.” Biometrics 47: 255-268. Doi: http://dx.doi.org/10.2307/2532510.10.2307/2532510
  9. Chao, A., P. Tsay, S. Lin, W. Shau, and D. Chao. 2001. “The Applications of Capture- Recapture Models to Epidemiological Data.” Statistics in Medicine 20: 3123-3157. Doi: http://dx.doi.org/10.1002/sim.996.10.1002/sim.99611590637
  10. Darroch, J., S. Fienberg, G. Glonek, and B. Junker. 1993. “A Three-Sample Multiple-Recapture Approach to Census Population Estimation with Heterogeneous Catchability.” Journal of the American Statistical Association 88: 1137-1148. Doi: http://dx.doi.org/10.2307/2290811.10.1080/01621459.1993.10476387
  11. Elliott, M.R. and R.J.A. Little. 2000. “A Bayesian Approach to Combining Information from a Census, a Coverage Measurement Survey, and Demographic Analysis.” Journal of the American Statistical Association 95: 351-362. Doi: http://dx.doi.org/10.1080/01621459.2000.10474205.10.1080/01621459.2000.10474205
  12. Fienberg, S., M. Johnson, and B. Junker. 1999. “Classical Multilevel and Bayesian Approaches to Population Size Estimation Using Multiple Lists.” Journal of the Royal Statistical Society: Series A 162: 383-406. Doi: http://dx.doi.org/10.1111/1467-985X.00143.10.1111/1467-985X.00143
  13. Gerritse, S.C. 2016. “An Application of Population Size Estimation to Official Statistics. Sensitivity of Model Assumptions and the Effect of Implied Coverage.” Utrecht University (dissertation), Utrecht, 2016. Available at: https://dspace.library.uu.nl/handle/1874/337476 (accessed February 1, 2018).
  14. Gerritse, S.C., B.F.M. Bakker, and P.G.M. van der Heijden. 2015a. “Different Methods to Complete Datasets Used for Capture-Recapure Estimation: Estimating the Number of Usual Residents in the Netherlands.” Statistical Journal of IAOS 31: 613-627. Doi: http://dx.doi.org/10.3233/SJI-150938.10.3233/SJI-150938
  15. Gerritse, S.C., P.G.M. van der Heijden, and B.F.M. Bakker. 2015b. “Sensitivity of Population Size Estimation for Violating Parametric Assumptions in Loglinear Models.” Journal of Official Statistics 31: 357-379. Doi: http://dx.doi.org/10.1515/jos-2015-0022.10.1515/jos-2015-0022
  16. Griffin, R.A. 2014. “Potential Uses of Administrative Records for Triple System Modeling for Estimation of Census Coverage Error in 2020.” Journal of Official Statistics 30: 177-189. Doi: http://dx.doi.org/10.2478/jos-2014-0012.10.2478/jos-2014-0012
  17. Héraud-Bousquet, V., F. Lot, M. Esvan, F. Cazein, C. Laurent, J. Warszawski, and A. Gallay. 2012. “A Three-Source Capture-Recapture Estimate of the Number of New HIV Diagnoses in Children in France from 2003-2006 with Multiple Imputation of a Variable of Heterogeneous Catchability.” BMC infectious diseases 12(1) : 1. Doi: http://dx.doi.org/10.1186/1471-2334-12-251.10.1186/1471-2334-12-251352656823050554
  18. Huggins, R.M. 1989. “On the Statistical Analysis of Capture Experiments.” Biometrika 76(1): 133-140. Doi: http://dx.doi.org/10.1093/biomet/76.1.133.10.1093/biomet/76.1.133
  19. International Working Group for Disease Monitoring and Forecasting. 1995. “Capture-Recapture and Multiple Record Systems Estimation. Part I. History and Theoretical Development.” American Journal of Epidemiology 142: 1047-1058. Doi: http://dx.doi.org/10.1093/oxfordjournals.aje.a117558.10.1093/oxfordjournals.aje.a117558
  20. Madigan, D. and J.C. York. 1997. “Bayesian Methods for Estimation of the Size of a Closed Population.” Biometrika 84: 19-31. Doi: http://dx.doi.org/10.1093/biomet/84.1.19.10.1093/biomet/84.1.19
  21. Meng, X.L. and D.B. Rubin. 1991. “IPF for Contingency Tables with Missing Data via the ECM Algorithm.” In Proceedings of the Statistical Computing Section of the American Statistical Association, 244-247. Washington D.C.: American Statistical Association.
  22. Pelle, E., D.J. Hessen, and P.G.M. van der Heijden. 2016. “A Log-Linear Multidimensional Rasch Model for Capture-Recapture.” Statistics in Medicine 35: 622-634. Doi: http://dx.doi.org/10.1002/sim.6741.10.1002/sim.674126423044
  23. Pollock, K.H. 2002. “The Use of Auxiliary Variables in Capture-Recapture Modelling: an Overview.” Journal of Applied Statistics 29: 85-102. Doi: http://dx.doi.org/10.1080/02664760120108430.10.1080/02664760120108430
  24. Reurings, M.C.B. and N.M. Bos. 2012. “Ernstig Verkeersgewonden in de Periode 2009 en 2010. Update van de Cijfers.” Stichting Wetenschappelijk Onderzoek Verkeersveiligheid SWOV, ref.; R-2012-7, Leidschendam, 2012. Available at: https://www.narcis.nl/publication/RecordID/oai:library.swov.nl:129380.
  25. Reurings, M.C. and H.L. Stipdonk. 2011. “Estimating the Number of Serious Road Injuries in the Netherlands.” Annals of Epidemiology 21(9): 648-653. Doi: http://dx.doi.org/10.1016/j.annepidem.2011.05.007.10.1016/j.annepidem.2011.05.00721820630
  26. Schafer, J. 1997a. Analysis of Incomplete Multivariate Data. New York: Chapman & Hall/CRC.10.1201/9781439821862
  27. Schafer, J. 1997b. Imputation of Missing Covariates under a General Linear Mixed Model. PennState University, Department of Statistics.
  28. Sutherland, J.M., C.J. Schwarz, and L.-P. Rivest. 2007. “Multilist Population Estimation with Incomplete and Partial stratification.” Biometrics 63: 910-916. Doi: http://dx.doi.org/10.1111/j.1541-0420.2007.00767.x.10.1111/j.1541-0420.2007.00767.x17825020
  29. Tilling, K. and J.A.C. Sterne. 1999. “Capture-Recapture Models Including Covariate Effects.” American Journal of Epidemiology 149(4): 392-400. Doi: http://dx.doi.org/10.1093/oxfordjournals.aje.a009825.10.1093/oxfordjournals.aje.a00982510025483
  30. Van der Heijden, P.G.M., E. Zwane, and D. Hessen. 2009. “Structurally Missing Data Problems in Multiple List Capture-Recapture Data.” Advances in Statistical Analysis 93: 5-21. Doi: http://dx.doi.org/10.1007/s10182-008-0098-6.10.1007/s10182-008-0098-6
  31. Van der Heijden, P.G.M., J. Whittaker, M. Cruyff, B. Bakker, and R. van der Vliet. 2012. “People Born in the Middle East but Residing in the Netherlands: Invariant Population Size Estimates and the Role of Active and Passive Covariates.” The Annals of Applied Statistics 6(3): 831-852. Doi: http://dx.doi.org/10.1214/12-AOAS536.10.1214/12-AOAS536
  32. Whittaker, J. 1990. Graphical Models in Applied Multivariate Statistics. Chichester: Wiley.
  33. Wolter, K.M. 1986. “Some Coverage Error Models for Census Data.” Journal of the American Statistical Association 81(394): 337-346. Doi: http://dx.doi.org/10.1080/01621459.1986.10478277.10.1080/01621459.1986.10478277
  34. Zhang, L.-C. 2015. “On Modelling Register Coverage Errors.” Journal of Official Statistics 31: 381-396. Doi: http://dx.doi.org/10.1515/jos-2015-0023.10.1515/jos-2015-0023
  35. Zwane, E. and P.G.M. van der Heijden. 2007. “Analysing Capture-Recapture Data when some Variables of Heterogeneous Catchability are not Collected or Asked in All Registrations.” Statistics in Medicine 26: 1069-1089. Doi: http://dx.doi.org/10.1002/sim.2577.10.1002/sim.257716708346
  36. Zwane, E. and P.G.M. van der Heijden. 2008. “Capture-Recapture Studies with Incomplete Mixed Categorical and Continuous Covariates.” Journal of Data Science 6: 557-572.10.6339/JDS.2008.06(4).426
  37. Zwane, E., K. van der Pal-de Bruin, and P.G.M. van der Heijden. 2004. “The Multiple- Record Systems Estimator when Registrations Refer to Different but Overlapping Populations.” Statistics in Medicine 23: 2267-2281. Doi: http://dx.doi.org/10.1002/sim.1818.10.1002/sim.181815236430
  38. Zwane, E. and P. van der Heijden. 2005. “Population Estimation Using the Multiple System Estimator in the Presence of Continuous Covariates.” Statistical Modelling 5(1): 39-52. Doi: http://dx.doi.org/10.1191/1471082X05st086oa.10.1191/1471082X05st086oa
Language: English
Page range: 239 - 263
Submitted on: Apr 1, 2016
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Accepted on: Sep 1, 2017
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Published on: Mar 1, 2018
Published by: Sciendo
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year

© 2018 Peter G.M. van der Heijden, Paul A. Smith, Maarten Cruyff, Bart Bakker, published by Sciendo
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.