DOI QR코드

DOI QR Code

Bayesian estimation for finite population proportion under selection bias via surrogate samples

  • Choi, Seong Mi (Department of Statistics, Kyungpook National University) ;
  • Kim, Dal Ho (Department of Statistics, Kyungpook National University)
  • Received : 2013.10.09
  • Accepted : 2013.11.04
  • Published : 2013.11.30

Abstract

In this paper, we study Bayesian estimation for the finite population proportion in binary data under selection bias. We use a Bayesian nonignorable selection model to accommodate the selection mechanism. We compare four possible estimators of the finite population proportions based on data analysis as well as Monte Carlo simulation. It turns out that nonignorable selection model might be useful for weekly biased samples.

Keywords

References

  1. Kwak, S. and Kim, D. (2012). Bayesian estimation for nite population proportions in multinomial data. Journal of the Korean Data & Information Science Society, 23, 587-593. https://doi.org/10.7465/jkdi.2012.23.3.587
  2. Malec, D., Davis, W. W. and Cao, X. (1999). Model-based small area estimates of overweight prevalence using sample selection adjustment. Statistics in Medicine, 18, 3189-3200. https://doi.org/10.1002/(SICI)1097-0258(19991215)18:23<3189::AID-SIM309>3.0.CO;2-C
  3. Nandram, B. (2007). Bayesian predictive inference under informative sampling via surrogate samples. In Bayesian Statistics and Its Applications, edited by S.K. Upadhyay et al., Anamaya, New Delhi, Chapter 25, 356-374.
  4. Nandram, B. (2013). Bayesian predictive inference of a nite population proportion under selection bias. Statistical Methodology, 11, 1-21. https://doi.org/10.1016/j.stamet.2012.08.003
  5. Nandram, B., Bhatta, D., Bhadra, D. and Shen, G. (2013). Bayesian predictive inference of a nite population proportion under selection bias. Statistical Methodology, 11, 1-21. https://doi.org/10.1016/j.stamet.2012.08.003
  6. Nandram, B. and Choi, J. W. (2010). A Bayesian analysis of body mass index data from small domains under nonignorable nonresponse and selection. Journal of the American Statistical Association, 105, 120-135. https://doi.org/10.1198/jasa.2009.ap08443
  7. Patil, G. P. and Rao, C. R. (1978). Weighted distributions and size-biased sampling with applications to wildlife populations and human families. Biometrics, 34, 179-189. https://doi.org/10.2307/2530008

Cited by

  1. A Bayesian model for two-way contingency tables with nonignorable nonresponse from small areas vol.27, pp.1, 2016, https://doi.org/10.7465/jkdi.2016.27.1.245
  2. A Bayesian uncertainty analysis for nonignorable nonresponse in two-way contingency table vol.26, pp.6, 2015, https://doi.org/10.7465/jkdi.2015.26.6.1547