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A Student’s Guide to Bayesian Statistics
by
Ben Lambert
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Student Resources
How to best use this book
The subjective worlds of Frequentist and Bayesian statistics
Author videos
Answers to Problem Sets
Probability - the nuts and bolts of Bayesian inference
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Likelihoods
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Priors
Author videos
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The devil is in the denominator
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The posterior - the goal of Bayesian inference
Author videos
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An introduction to distributions for the mathematically uninclined
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Conjugate priors
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Evaluation of model fit and hypothesis testing
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Making Bayesian analysis objective?
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Leaving conjugates behind: Markov Chain Monte Carlo
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Random Walk Metropolis
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Gibbs sampling
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Hamiltonian Monte Carlo
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Stan
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Hierarchical models
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Linear regression models
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Generalised linear models and other animals
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Click on the caption to watch the videos
Random variables and probability distributions
Video of Random variables and probability distributions.
What is a probability distribution?
[on YouTube?]
An introduction to discrete probability distributions
Video of An introduction to discrete probability distributions
An introduction to continuous probability distributions
Video of An introduction to continuous probability distributions.
2D discrete distributions: an introduction
Video of Two-dimensional discrete distributions: an introduction
What is a marginal probability distribution? A discrete example
[on YouTube?]
Discrete marginal probability distributions
Video of An introduction to discrete marginal probability distributions
What is a marginal probability distribution? A continuous example
[on Youtube?]
Continuous marginal probability distributions
[on Youtube?]
What is a conditional probability distribution?
[on Youtube?]
An introduction to discrete conditional probability distributions
Video of An introduction to discrete conditional probability distributions.
An introduction to continuous conditional probability distributions
Video of An introduction to continuous conditional probability distributions
An introduction to central limit theorems
Video of An introduction to central limit theorems
Breast cancer example use of Bayes' rule
Video of Breast cancer example use of Bayes' rule - 1
Video of Breast cancer example use of Bayes' rule - 2