Multiple-record systems estimation using latent class models

Australian and New Zealand Journal of Statistics

Volumn 51, Issue 1, 2009, Pages 101-111

  Wang, Yan ^a   Thandrayen, Joanne ^b  

^a RMIT UNIVERSITY   (Australia)

^b UNIVERSITY OF SOUTH AUSTRALIA   (Australia)

Author keywords

Capture recapture; Conditional likelihood; EM algorithm; Identifiability; Multinomial logit

Indexed keywords

EID: 62249166532     PISSN: 13691473     EISSN: 1467842X     Source Type: Journal    
DOI: 10.1111/j.1467-842X.2008.00531.x     Document Type: Article

References (28)

1. Agresti, A. (1994). Simple capture-recapture models permitting unequal catchability and variable sampling effort. Biometrics 50, 494 500.
2. Bartolucci, F. Forcina, A. (2001). Analysis of capture-recapture data with a Rasch-type model allowing for conditional dependence and multidimensionality. Biometrics 57, 714 719.
3. Bartolucci, F. Forcina, A. (2006). A class of latent marginal models for capture-recapture data with continuous covariates. J. Amer. Statist. Assoc. 101, 786 794.
4. Bishop, Y.M.M., Fienberg, S.E. Holland, P.W. (1975). Discrete Multivariate Analysis. Cambridge, MA : MIT Press.
5. Bohning, D. (2000). Computer-assisted Analysis of Mixtures and Applications. Meta-analysis, Disease Mapping and Others. Boca Raton, FL : Chapman and Hall.
6. Bohning, D., Dietz, E., Kuhnert, R. Schon, D. (2005). Mixture models for capture-recapture count data. Statist. Method. Appl. 14, 29 43.
7. Bruno, G., Biggeri, A., Merletti, F., Laporte, R., McCarthy, D. Pagano, G. (1994). Applications of capture-recapture to count diabetes. Diabetes Care 17, 548 556.
8. Buckland, S.T. Garthwaite, P. (1991). Quantifying precision of mark-recapture estimates using the bootstrap and related methods. Biometrics 47, 255 268.
9. Chamberlain, C. MacKenzie, D. (2004). Counting the Homeless 2001; South Australia. Hawthorn, Australia : Swinburne University and RMIT University.
10. Chao, A., Tsay, P.K., Lin, S.-H., Shau, W.-Y. Chao, D.-Y. (2001). The applications of capture-recapture models to epidemiological data. Statist. Med. 20, 3123 3157.
11. Clogg, C.C. (1977). Unrestricted and restricted maximum likelihood latent structure analysis: a manual for users. Working paper. University Park, Population Issues Research Center, Pennsylvania State University.
12. Clogg, C.C. (1995). Latent class models. In : Handbook of Statistical Modelling for the Social and Behavioral sciences, eds G. Arminger, C.C. Clogg, M.E. Sobel, Chapter 6, pp. 311 359. New York : Plenum Press.
13. Cormack, R. (1999). Problems with using capture-recapture in epidemiology: an example of a measles epidemic. J. Clin. Epidemiol. 52, 909 914.
14. D'Onise, K., Wang, Y. McDermott, R. (2007). The importance of numbers: using capture-recapture to make the homeless count in Adelaide. Aust. J. Primary Health 13, 89 96.
15. Dorazio, R.M. Royle, J.A. (2003). Mixture models for estimating the size of a closed population when capture rates vary among individuals. Biometrics 59, 351 364.
16. Formann, A.K. (1985). Constrained latent class models: Theory and applications. Br. J. Math. Statist. Psychol. 38, 87 111.
17. Formann, A.K. (2003a). Latent class model diagnosis from a frequentist point of view. Biometrics 59, 189 196.
18. Formann, A.K. (2003b). Latent class model diagnostics - a review and some proposals. Comput. Statist. Data. An. 41, 549 559.
19. Goodman, L.A. (1974). Exploratory latent structure analysis using both identifiable and unidentifiable models. Biometrika 61, 215 231.
20. Hook, E.B. Regal, R.R. (1995). Capture-recapture methods in epidemiology: methods and limitations. Epidemiol. Rev. 17, 243 264.
21. International Working Group for Disease Monitoring and Forecasting (1995a). Capture-recapture and multiple record systems estimation 1: history and theoretical development. Am. J. Epidemiol. 142, 1047 1058.
22. International Working Group for Disease Monitoring and Forecasting (1995b). Capture-recapture and multiple record systems estimation 2: applications. Am. J. Epidemiol. 142, 1059 1068.
23. McCutcheon, A.L. (1987). Latent Class Analysis. Beverly Hills : Sage Publications.
24. Pledger, S. (2000). Unified maximum likelihood estimates for closed capture-recapture models using mixtures. Biometrics 56, 434 442.
25. Sanathanan, L. (1972). Estimating the size of a multinomial population. Ann. Math. Statist. 42, 58 69.
26. Sudman, S., Sirken, M. Cowan, C. (1988). Sampling rare and elusive populations. Science 240, 991 996.
27. van Wieringen, W.N. (2005). On identifiability of certain latent class models. Statist. Probab. Lett. 75, 211 218.
28. Zwane, E.N. van der Heijden, P.G.M. (2005). The multiple system estimator in the presence of continuous covariates. Statist. Model. 5, 39 52.