Advanced Bayesian Data Analysis in R
Instruction: Explain how to perform advanced Bayesian data analysis in R, including model building, inference, and diagnostics.
Context: This question tests the candidate's ability to apply Bayesian statistics to complex data analysis problems in R.
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Model Building: The first step involves specifying your prior beliefs and the likelihood function. In R, using the brms package, we can easily define our model. For instance, if we're working on a regression problem, we can specify our model using the brm function, where we define our priors for the intercept and slopes if we believe they follow a certain distribution based on previous studies or domain knowledge...