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Bayesian Data Analysis, Third Edition, 3rd Edition by Donald B. Rubin, Aki Vehtari, David B. Dunson, Hal S. Stern, John B. Carlin, Andrew Gelman

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Chapter 8

Modeling accounting for data collection

How does the design of a sample survey, an experiment, or an observational study affect the models that we construct for a Bayesian analysis? How does one analyze data from a survey that is not a simple random sample? How does one analyze data from hierarchical experimental designs such as randomized blocks and Latin squares, or nonrandomly generated data in an observational study? If we know that a design is randomized, how does that affect our Bayesian inference? In this chapter, we address these ...

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