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Practical Bayesian Data Analysis

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These are some topics I am planning to write about.

  • Mildly informative priors for regression coefficients in generalized linear models.
    • Standardizing input variables.
    • Encoding of categorical variables.
    • Interactions and multilevel modeling.
    • Priors for variances in multilevel models.
  • Finding a multivariate normal approximation to the posterior for a hierarchical model, without creating impractically large Hessian or covariance matrices.
  • Speeding up Stan’s warmup phase by first finding a multivariate normal approximation to the posterior.
  • Optimal point estimates.
  • Using cloud computing (e.g. Amazon Web Services) with Stan, OpenBUGS, and JAGS when you need more computational muscle.
  • Adaptive thinning for MCMC output.
  • Scale usage modeling for analyzing Likert-scale survey data.

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