Chapter 21 Small Area Estimation
21.1 Small area estimation (SAE)
Small area estimation (SAE) is an umbrella term to describe a number of approaches that provide “reliable small area statistics even when only very small samples are available for these areas.” (Pfeffermann 2002) The applications are often seen
Many of these approaches are based upon Bayesian hierarchical models (see Gómez-Rubio et al. as one example).
21.1.1 Theory and methods
Australian Bureau of Statistics, Methodology Advisory Committee (2009) Small Area Estimation with Simulated Samples from the Population Census, research paper.
BIAS Project. http://www.bias-project.org.uk
Cadwell, Betsy L., Theodore J. Thompson, James P. Boyle and Lawrence E. Barker (2010) “Bayesian Small Area Estimates of Diabetes Prevalence by U.S. County, 2005”, Journal of Data Science, 8, 173-188.
Chen, C.X., T. Lumley and J. Wakefield (?) “The Use of Sampling Weights in Bayesian Hierarchical Models for Small Area Estimation”_, Technical Report no.583, Department of Statistics, University of Washington, Seattle.
Ghosh, M. and J. N. K. Rao (1994). “Small area estimation: An appraisal.” Statistical Science 9(1), 55–76.
Goldstein, H. and D. J. Spiegelhalter (1996). “League tables and their limitations: Statistical issues in comparisons of institutional performance (with discussion).” Journal of the Royal Statistical Society, Series A 159(3), 385–443.
Gómez-Rubio, V., N. Best, S. Richardson and P. Clarke (2007) Bayesian Statistics, Small Area Estimation and why no one is poor in Sweden, presentation to the Royal Statistical Society Conference, 2007-07-18.
Hidiroglou, Michael (2007) “Small-Area Estimation: Theory and Practice”, Proceedings of the Joint Statistical Meetings: Section on Survey Research Methods
Holt, D. and Fernando A.S. Moura (1999) “Small area estimation using multilevel models”, Survey Methodology (cat. 12-001-X), Statistics Canada, Vol.25 No.1,, pp.73-80, June 2015.
Jiang, Jiming (2010) Large Sample Techniques for Statistics (Chapter 13, "Small-Area Estimation).
Kim, Jae-kwang, Seunghwan Park and Seo-young Kim (2015) “Small area estimation combining information from several sources”, Survey Methodology (cat. 12-001-X), Statistics Canada, Vol.41 No.1, June 2015.
Longford, Nicholas T. (2005) Missing Data and Small-Area Estimation: Modern Analytical Equipment for the Survey Statistician. Springer.
Longford, Nicholas T. (2006) “Sample size calculation for small-area estimation”, Survey Methodology (cat. 12-001-X), Statistics Canada, Vol. 32, No. 1, pp. 87-96.
Marton, Krisztina and Jennifer C. Karberg, Rapporteurs, The Future of Federal Household Surveys: Summary of a Workshop, The National Academies Press
- Chapter 6: “Small-Area Estimation: Finding the Boundaries: When do Direct Survey Estimates Meet Small-Area Needs?”
Molina, Isabel, J.N.K. Rao and Gauri Sankar Datta (2015) “Small area estimation under a Fay-Herriot model with preliminary testing for the presence of random area effects”, Survey Methodology (cat. 12-001-X), Statistics Canada, Vol.41 No.1, June 2015.
Petrucci, Alessandra, Monica Pratesi, and Nicola Salvati (2005) “Geographic Information in Small Area Estimation: Small Area Models and Spatially Correlated Random Area Effects”, January 2005, researchgate.net
Pfeffermann, Danny (2002) “Small Area Estimation – New Developments and Directions” (Pfeffermann 2002)
Phadia, Eswar G. (2016) Prior Processes and Their Applications: Nonparametric Bayesian Estimation (2nd ed.), Springer.
Public Health Ontario (2018) Small Area Analysis: A primer for Public Health Units
Rahman, Azizur and Ann Harding (2017) Small Area Estimation and Microsimulation Modeling (CRC Press page)
Rao, J. N. K. (2003). Small Area Estimation. John Wiley & Sons, Inc., Hoboken, New Jersey.
Seliske, L., T. A. Norwood, J. R. McLaughlin, S. Wang, C. Palleschi and E. Holowaty (2016) “Estimating micro area behavioural risk factor prevalence from large population-based surveys: a full Bayesian approach”, BMC Public Health.
Song, Lin; Laina Mercer; Jon Wakefield; Amy Laurent; David Solet (2016) “Using Small-Area Estimation to Calculate the Prevalence of Smoking by Subcounty Geographic Areas in King County, Washington, Behavioral Risk Factor Surveillance System, 2009–2013”, Preventing Chronic Disease 2016; 13:150536
Sperling, Jonathan (2012) [“The Tyranny of Census Geography: Small-Area Data and Neighborhood Statistics”], Cityscape, 14(2), pp.219-223, www.jstor.org/stable/41581107.
Whitworth, Adam (ed.) (2013) Evaluations and improvements in small area estimation methodologies
Zhang, Xingyou, James B. Holt, Hua Lu, Anne G. Wheaton, Earl S. Ford, Kurt J. Greenlund and Janet B. Croft (2014) “Multilevel Regression and Poststratification for Small-Area Estimation of Population Health Outcomes: A Case Study of Chronic Obstructive Pulmonary Disease Prevalence Using the Behavioral Risk Factor Surveillance System”, American Journal of Epidemiology, 179-8, pp.1025-1033.
Zhou, Qian and Yong You (2011) Hierarchical Bayes small area estimation under a spatial model with application to health survey data, Statistics Canada, Survey Methodology Series (12-001-X)
22.214.171.124 Conferences, symposia, and other confabs
Statistical Society of Canada annual meeting, May 29 to June 1, 2016: “Small Area Estimation: New Developments”, Statistical Society of Canada.
U.S. Census Bureau, Center for Statistical Research and Methodology: Small Area Estimation
Arranged by package
Bivand, Roger S., Edzer Pebesma and Virgilio Gómez-Rubio (2013) Applied Spatial Data Analysis with R, 2nd edition. Springer
Gómez-Rubio, Virgilio (2016) Small Area Estimation with R, tutorial at the UseR 2016 Conference, Stanford University.
- earlier version: Gómez-Rubio, Virgilio (2008) 3-hour tutorial on Small Area Estimation, tutorial at the R User Conference, 2008, Technische Universität Dortmund, Germany.
Andrés Gutiérrez, 2017-04-16, Small Area Estimation 101(https://hagutierrezro.blogspot.com/2017/04/small-area-estimation-101.html)
- alternate via R-Bloggers)
CRAN page: sae: Small Area Estimation
Molina, Isabel and Yolanda Marhuenda (2015) “sae: An R Package for Small Area Estimation”, The R Journal Vol. 7/1, June 2015
Pfeffermann, Danny. 2002. “Small Area Estimation: New Developments and Directions.” International Statistical Review / Revue Internationale de Statistique 70 (1): 125–43. https://doi.org/10.2307/1403729.