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Combining Survey and Non-survey Data for Improved Sub-area Prediction Using a Multi-level Model

Author

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  • Jae Kwang Kim

    (Iowa State University)

  • Zhonglei Wang

    (Iowa State University)

  • Zhengyuan Zhu

    (Iowa State University)

  • Nathan B. Cruze

    (United States Department of Agriculture)

Abstract

Combining information from different sources is an important practical problem in survey sampling. Using a hierarchical area-level model, we establish a framework to integrate auxiliary information to improve state-level area estimates. The best predictors are obtained by the conditional expectations of latent variables given observations, and an estimate of the mean squared prediction error is discussed. Sponsored by the National Agricultural Statistics Service of the US Department of Agriculture, the proposed model is applied to the planted crop acreage estimation problem by combining information from three sources, including the June Area Survey obtained by a probability-based sampling of lands, administrative data about the planted acreage and the cropland data layer, which is a commodity-specific classification product derived from remote sensing data. The proposed model combines the available information at a sub-state level called the agricultural statistics district and aggregates to improve state-level estimates of planted acreages for different crops. Supplementary materials accompanying this paper appear on-line.

Suggested Citation

  • Jae Kwang Kim & Zhonglei Wang & Zhengyuan Zhu & Nathan B. Cruze, 2018. "Combining Survey and Non-survey Data for Improved Sub-area Prediction Using a Multi-level Model," Journal of Agricultural, Biological and Environmental Statistics, Springer;The International Biometric Society;American Statistical Association, vol. 23(2), pages 175-189, June.
    • Handle: RePEc:spr:jagbes:v:23:y:2018:i:2:d:10.1007_s13253-018-0320-2
    DOI: 10.1007/s13253-018-0320-2
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    References listed on IDEAS

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    1. Giancarlo Manzi & David J. Spiegelhalter & Rebecca M. Turner & Julian Flowers & Simon G. Thompson, 2011. "Modelling bias in combining small area prevalence estimates from multiple surveys," Journal of the Royal Statistical Society Series A, Royal Statistical Society, vol. 174(1), pages 31-50, January.
    2. Jae Kwang Kim & J. N. K. Rao, 2012. "Combining data from two independent surveys: a model-assisted approach," Biometrika, Biometrika Trust, vol. 99(1), pages 85-100.
    3. Takis Merkouris, 2010. "Combining information from multiple surveys by using regression for efficient small domain estimation," Journal of the Royal Statistical Society Series B, Royal Statistical Society, vol. 72(1), pages 27-48, January.
    4. Siu-Ming Tam & Frederic Clarke, 2015. "Big Data, Official Statistics and Some Initiatives by the Australian Bureau of Statistics," International Statistical Review, International Statistical Institute, vol. 83(3), pages 436-448, December.
    5. Changbao Wu & Wilson W. Lu, 2016. "Calibration Weighting Methods for Complex Surveys," International Statistical Review, International Statistical Institute, vol. 84(1), pages 79-98, April.
    6. Takis Merkouris, 2004. "Combining Independent Regression Estimators From Multiple Surveys," Journal of the American Statistical Association, American Statistical Association, vol. 99, pages 1131-1139, December.
    7. Michael R. Elliott & William W. Davis, 2005. "Corrigendum: Obtaining cancer risk factor prevalence estimates in small areas: combining data from two surveys," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 54(5), pages 958-958, November.
    8. Raghunathan, Trivellore E. & Xie, Dawei & Schenker, Nathaniel & Parsons, Van L. & Davis, William W. & Dodd, Kevin W. & Feuer, Eric J., 2007. "Combining Information From Two Surveys to Estimate County-Level Prevalence Rates of Cancer Risk Factors and Screening," Journal of the American Statistical Association, American Statistical Association, vol. 102, pages 474-486, June.
    9. Michael R. Elliott & William W. Davis, 2005. "Obtaining cancer risk factor prevalence estimates in small areas: combining data from two surveys," Journal of the Royal Statistical Society Series C, Royal Statistical Society, vol. 54(3), pages 595-609, June.
    10. Jae Kwang Kim & Mingue Park, 2010. "Calibration Estimation in Survey Sampling," International Statistical Review, International Statistical Institute, vol. 78(1), pages 21-39, April.
    11. Torabi, Mahmoud & Rao, J.N.K., 2014. "On small area estimation under a sub-area level model," Journal of Multivariate Analysis, Elsevier, vol. 127(C), pages 36-55.
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    Cited by:

    1. Erciulescu Andreea L. & Cruze Nathan B. & Nandram Balgobin, 2020. "Statistical Challenges in Combining Survey and Auxiliary Data to Produce Official Statistics," Journal of Official Statistics, Sciendo, vol. 36(1), pages 63-88, March.
    2. Camilla Salvatore, 2023. "Inference with non-probability samples and survey data integration: a science mapping study," METRON, Springer;Sapienza Università di Roma, vol. 81(1), pages 83-107, April.

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