The Living Thing / Notebooks :

Non random sampling

Greasing non-squeaky wheels

Data where your collection process is biased. MRP etc.

Connected to hierarhical models, Survey estimation as applied in psephology etc.

Dan Simpson elucidates, in Multilevel structured (regression) and post-stratification.

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Refs

Bareinboim, Elias, Jin Tian, and Judea Pearl. 2014. “Recovering from Selection Bias in Causal and Statistical Inference.” In AAAI, 2410–6. http://ftp.cs.ucla.edu/pub/stat_ser/r425.pdf.

Broockman, David E., Joshua Kalla, and Jasjeet S. Sekhon. 2016. “The Design of Field Experiments with Survey Outcomes: A Framework for Selecting More Efficient, Robust, and Ethical Designs.” SSRN Scholarly Paper ID 2742869. Rochester, NY: Social Science Research Network. https://papers.ssrn.com/abstract=2742869.

Copas, J. B., and H. G. Li. 1997. “Inference for Non-Random Samples.” Journal of the Royal Statistical Society: Series B (Statistical Methodology) 59 (1): 55–95. https://doi.org/10.1111/1467-9868.00055.

Gao, Yuxiang, Lauren Kennedy, Daniel Simpson, and Andrew Gelman. 2019. “Improving Multilevel Regression and Poststratification with Structured Priors,” August. http://arxiv.org/abs/1908.06716.

Kennedy, Lauren, and Andrew Gelman. 2019. “Know Your Population and Know Your Model: Using Model-Based Regression and Poststratification to Generalize Findings Beyond the Observed Sample,” June. http://arxiv.org/abs/1906.11323.

Kohler, Ulrich, Frauke Kreuter, and Elizabeth A. Stuart. 2019. “Nonprobability Sampling and Causal Analysis.” Annual Review of Statistics and Its Application 6 (1): 149–72. https://doi.org/10.1146/annurev-statistics-030718-104951.

Mohan, Karthika, Judea Pearl, and Jin Tian. 2013. “Graphical Models for Inference with Missing Data.” In Advances in Neural Information Processing Systems, 1277–85. http://papers.nips.cc/paper/4899-gra.

Pfeffermann, Danny. 1993a. “Modeling Survey Data.” International Statistical Review 61 (2): 317–37. http://lib.stat.cmu.edu/~brian/905-2008/papers/Pfeffermann-ISR-1993.pdf.

———. 1993b. “The Role of Sampling Weights When Modeling Survey Data.” International Statistical Review / Revue Internationale de Statistique 61 (2): 317–37. https://doi.org/10.2307/1403631.

Pfeffermann, Danny, Abba M. Krieger, and Yosef Rinott. 1998. “Parametric Distributions of Complex Survey Data Under Informative Probability Sampling.” Statistica Sinica 8 (4): 1087–1114. http://www3.stat.sinica.edu.tw/statistica/oldpdf/A8n45.pdf.

Rao, JNK. 2006. “Interplay Between Sample Survey Theory and Practice: An Appraisal.” Survey Methodology 31 (2): 117–38. https://jpsm.org/sites/jpsm.umd.edu/files/distinguished%20lecture_jnkRaoPaper.pdf.

Rao, J. N. K., and Isabel Molina. 2015. Small Area Estimation. John Wiley & Sons.

Wang, Wei, David Rothschild, Sharad Goel, and Andrew Gelman. 2015. “Forecasting Elections with Non-Representative Polls.” International Journal of Forecasting 31 (3): 980–91. https://doi.org/10.1016/j.ijforecast.2014.06.001.