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Potential Uses of Administrative Records for Triple System Modeling for Estimation of Census Coverage Error in 2020

Richard A. Griffin
  • U.S. Census Bureau, 4210 Southwinds Place Unit 109, White Plains, Maryland 20695, U.S.A.
  • Email:
Published Online: 2014-05-08 | DOI: https://doi.org/10.2478/jos-2014-0012


Heterogeneity in capture probabilities is known to produce bias in the dual system estimates that have been used to estimate census coverage in U.S. Censuses since 1980. Triple system estimation using an administrative records list as a third source along with the census and coverage measurement survey has the potential to produce estimates with less bias. This is particularly important for hard-to-reach populations.

The article presents potential statistical methods for the estimation of net census undercount using three systems for obtaining population information: (1) a decennial census; (2) an independent enumeration of the population in a sample of block clusters; and (3) administrative records. The 2010 Census Match Study will create census-like files for the entire nation using federal and commercial sources of administrative records. The 2010 Census Coverage Measurement Survey is an enumeration in a sample of block clusters that is independent of the 2010 decennial Census.

Keywords: Heterogeneity; independence; log-linear model


  • Agresti, A. (2002). Categorical Data Analysis (2nd edition). New York: John Wiley and Sons.

  • Alho, J.M. (1990). Logistic Regression in Capture-Recapture Models. Biometrics, 46, 623-635. [PubMed]

  • Bishop, Y.M.M., Fienberg, S.E., and Holland, P.W. (1975). Discrete Multivariate Analysis: Theory and Practice. Cambridge, MA: MIT Press.

  • Bell, W.R. (1993). Using Information from Demographic Analysis in Post-Enumeration Survey Estimation. Journal of the American Statistical Association, 88, 1106-1118. DOI: http://www.dx.doi.org/10.1080/01621459.1993.10476381 [Crossref]

  • Chandrasekar, C. and Deming, W.E. (1949). On a Method of Estimating Birth & Death Rates and the Extent of Registration. Journal of the American Statistical Association, 44, 101-115.

  • Chao, A. and Tsay, P.K. (1998). A Sample Coverage Approach to Multiple-System Estimation with Aoolication to Census Undercount. Journal of the American Statistical Association, 93, 283-293.

  • Darroch, J., Fienberg, S., Glonek, G., and Junker, B. (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://www.dx.doi.org/10.1080/01621459.1993.10476387 [Crossref]

  • Fienberg, S. (1972). The Multiple Recapture Census for Closed Populations and Incomplete 2k Contingency Tables. Biometrika, 59, 591-603. DOI: http://www.dx.doi.org/10.1093/biomet/59.3.591 [Crossref]

  • Fienberg, S.E. (2000). Contingency Tables and Log-Linear Models: Basic Results and New Developments. Journal of the American Statistical Association, 95, 643-647. DOI: http://www.dx.doi.org/10.1080/01621459.2000.10474242 [Crossref]

  • Fienberg, S.E. and Manrique-Vallier, D. (2009). Integrated Methodology for Multiple Systems Estimation and Record Linkage using a Missing Data Formulation. AStA Advances in Statistical Analysis, 93, 49-60. DOI: http://www.dx.doi.org/10.1007/ s10182-008-0084-z Madigan, D. and York, J.C. (1997). Bayesian Methods for Estimation of the Size of a Closed Population. Biometrika, 84, 19-31. DOI: http://www.dx.doi.org/10.1093/biomet/84.1.19 [Crossref]

  • Mulry, M.H. and Spencer, B.D. (1991). Total Error in PES Estimates. Journal of the American Statistical Association, 86, 839-855. DOI: http://www.dx.doi.org/10.1080/ 01621459.1991.10475122 [Crossref]

  • Rastogi, S. and O’Hara, A. (2012). 2010 Census Match Study. 2010 Census Program for Evaluations and Experiments, Center for Administrative Records Research and Applications. November 19, 2012.

  • Wolter, K.M. (1986). Some Coverage Error Models for Census Data. Journal of the American Statistical Association, 81, 338-346. DOI: http://www.dx.doi.org/10.1080/ 01621459.1986.10478277 [Crossref]

  • Zaslavsky, A.M. and Wolfgang, G.S. (1990). Triple-System Modeling of Census, Post- Enumeration Survey, and Administrative List Data. In Proceedings of the Survey Research Methods Section of the American Statistical Association (Anaheim, CA, August 1990).

  • Zaslavsky, A.M. and Wolfgang, G.S. (1993). Triple-System Modeling of Census, Post- Enumeration Survey, and Administrative List Data. Journal of Business & Economic Statistics, 11, 279-288. DOI: http://www.dx.doi.org/10.1080/07350015.1993.10509955 [Crossref]

About the article

Received: 2013-02-01

Accepted: 2014-02-01

Published Online: 2014-05-08

Published in Print: 2014-06-01

Citation Information: Journal of Official Statistics, ISSN (Online) 2001-7367, DOI: https://doi.org/10.2478/jos-2014-0012. Export Citation

© by Richard A. Griffin. This article is distributed under the terms of the Creative Commons Attribution Non-Commercial License, which permits unrestricted non-commercial use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY-NC-ND 3.0)

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Anders Holmberg
Journal of Official Statistics, 2015, Volume 31, Number 3

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