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

Alho, J.M. 1990. “Logistic Regression in Capture-Recapture Models.” Biometrics 46(3): 623-635. Doi: http://dx.doi.org/10.2307/2532083.10.2307/2532083Open DOISearch in Google Scholar

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/10.2307/2532461.10.2307/2532461Open DOISearch in Google Scholar

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/10.2307/2290805.10.1080/01621459.1993.10476381Open DOISearch in Google Scholar

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/10.1007/978-0-387-72806-3.10.1007/978-0-387-72806-3Open DOISearch in Google Scholar

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.xOpen DOISearch in Google Scholar

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.xOpen DOISearch in Google Scholar

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.0013312349249Open DOISearch in Google Scholar

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/10.2307/2532510.10.2307/2532510Open DOISearch in Google Scholar

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.99611590637Open DOISearch in Google Scholar

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/10.2307/2290811.10.1080/01621459.1993.10476387Open DOISearch in Google Scholar

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/10.1080/01621459.2000.10474205.10.1080/01621459.2000.10474205Open DOISearch in Google Scholar

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.00143Open DOISearch in Google Scholar

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).Search in Google Scholar

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-150938Open DOISearch in Google Scholar

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-2015-0022Open DOISearch in Google Scholar

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-2014-0012Open DOISearch in Google Scholar

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/10.1186/1471-2334-12-251.10.1186/1471-2334-12-251352656823050554Open DOISearch in Google Scholar

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/76.1.133Open DOISearch in Google Scholar

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.a117558Open DOISearch in Google Scholar

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/84.1.19Open DOISearch in Google Scholar

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.Search in Google Scholar

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.674126423044Open DOISearch in Google Scholar

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/10.1080/02664760120108430.10.1080/02664760120108430Open DOISearch in Google Scholar

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.Search in Google Scholar

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.2011.05.00721820630Open DOISearch in Google Scholar

Schafer, J. 1997a. Analysis of Incomplete Multivariate Data. New York: Chapman & Hall/CRC.10.1201/9781439821862Search in Google Scholar

Schafer, J. 1997b. Imputation of Missing Covariates under a General Linear Mixed Model. PennState University, Department of Statistics.Search in Google Scholar

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.x17825020Open DOISearch in Google Scholar

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.a00982510025483Open DOISearch in Google Scholar

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/s10182-008-0098-6Open DOISearch in Google Scholar

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-AOAS536Open DOISearch in Google Scholar

Whittaker, J. 1990. Graphical Models in Applied Multivariate Statistics. Chichester: Wiley. Search in Google Scholar

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/10.1080/01621459.1986.10478277.10.1080/01621459.1986.10478277Open DOISearch in Google Scholar

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-2015-0023Open DOISearch in Google Scholar

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.257716708346Open DOISearch in Google Scholar

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).426Search in Google Scholar

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.181815236430Open DOISearch in Google Scholar

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.10.1191/1471082X05st086oaOpen DOISearch in Google Scholar