Multiple system estimation using covariates having missing values and measurement error: Estimating the size of the Māori population in New Zealand

We investigate the use of two or more linked lists, for both population size estimation and the relationship between variables appearing on all or only some lists. This relationship is usually not fully known because some individuals appear in only some lists, and some are not in any list. These two...

Full description

Saved in:
Bibliographic Details
Published in:Journal of the Royal Statistical Society. Series A, Statistics in society Statistics in society, 2022-01, Vol.185 (1), p.156-177
Main Authors: van der Heijden, Peter G. M., Cruyff, Maarten, Smith, Paul A., Bycroft, Christine, Graham, Patrick, Matheson‐Dunning, Nathaniel
Format: Article
Language:English
Subjects:
administrative data
Algorithms
capture–recapture
Censuses
Error analysis
Estimation
Ethnicity
Innovations
Latent class analysis
latent class model
list coverage
Lists
Maoris
Measurement
Population
population size estimation
Subsets
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We investigate the use of two or more linked lists, for both population size estimation and the relationship between variables appearing on all or only some lists. This relationship is usually not fully known because some individuals appear in only some lists, and some are not in any list. These two problems have been solved simultaneously using the EM algorithm. We extend this approach to estimate the size of the indigenous Māori population in New Zealand, leading to several innovations: (1) the approach is extended to four lists (including the population census), where the reporting of Māori status differs between registers; (2) some individuals in one or more lists have missing ethnicity, and we adapt the approach to handle this additional missingness; (3) some lists cover subsets of the population by design. We discuss under which assumptions such structural undercoverage can be ignored and provide a general result; (4) we treat the Māori indicator in each list as a variable measured with error, and embed a latent class model in the multiple system estimation to estimate the population size of a latent variable, interpreted as the true Māori status. Finally, we discuss estimating the Māori population size from administrative data only. Supplementary materials for our article are available online.
ISSN:0964-1998
1467-985X
DOI:10.1111/rssa.12731