Chapter 6

Inferring a Binomial Proportion via Grid Approximation

Contents

6.1 Bayes’ Rule for Discrete Values of θ

6.2 Discretizing a Continuous Prior Density

6.2.1 Examples Using Discretized Priors

6.3 Estimation

6.4 Prediction of Subsequent Data

6.5 Model Comparison

6.6 Summary

6.7 R Code

6.7.1 R Code for Figure 6.2 and the Like

6.8 Exercises

I’m kinda coarse while the lady’s refined,

I kinda stumble while she holds the line.

But both of us side-step and guess what the answer is;

Both might feel better with (psycho-)analysis.

The previous chapter considered how to make inferences about a binomial proportion when the prior could be specified as a beta distribution. Using the beta distribution was convenient because it made the integrals work out ...

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