Struggles with Survey Weighting and Regression Modeling

Details Struggles with Survey Weighting and Regression Modeling Struggles with Survey Weighting and Regression Modeling

2007-10-26

arxiv.org/abs/0710.5005v1

Statistical Science 2007, Vol. 22, No. 2, 153-164

Statistics

Methodology

This paper commented in: [arXiv:0710.5009], [arXiv:0710.5012], [arXiv:0710.5013], [arXiv:0710.5015], [arXiv:0710.5016]. Rejoin

Scientific paper

10.1214/088342306000000691

The general principles of Bayesian data analysis imply that models for survey responses should be constructed conditional on all variables that affect the probability of inclusion and nonresponse, which are also the variables used in survey weighting and clustering. However, such models can quickly become very complicated, with potentially thousands of poststratification cells. It is then a challenge to develop general families of multilevel probability models that yield reasonable Bayesian inferences. We discuss in the context of several ongoing public health and social surveys. This work is currently open-ended, and we conclude with thoughts on how research could proceed to solve these problems.

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