Lecture 1 - Sets
Lecture 2 - Probability Axioms
Lecture 3 - Probability Assignment
Lecture 4 - Probability Assigner Functions
Lecture 5 - Random Variables
Lecture 6 - Probability Distributions and Statistical Inference
Lecture 7 - Discrete Random variables: Binomial and Poisson Distributions
Lecture 8 - Continuous Random Variables
Lecture 9 - Normal Distribution
Lecture 10 - Lognormal Distribution and Beta Distribution
Lecture 11 - Probability Distributions in R
Lecture 12 - Likelihood Function
Lecture 13 - Graph of a Likelihood Function
Lecture 14 - Conditional Probability
Lecture 15 - Bayes' Theorem
Lecture 16 - Bayesian Inference
Lecture 17 - Likelihood, Prior and Posterior in R
Lecture 18 - How the data, prior affects the posterior
Lecture 19 - Prior and Posterior Predictions
Lecture 20 - Generating Prior and Posterior Prediction in R
Lecture 21 - Posterior Predictive Checks
Lecture 22 - Model Building in the Bayesian Framework
Lecture 23 - Bayesian Modeling Workflow in R
Lecture 24 - Bayesian Learning
Lecture 25 - Specifying Priors
Lecture 26 - Parameter Estimation Method
Lecture 27 - Analytical Methods of Posterior Estimation
Lecture 28 - Grid Approximation
Lecture 29 - Importance Sampling
Lecture 30 - Introduction to Markov Chain Monte Carlo
Lecture 31 - MCMC Sampler
Lecture 32 - MCMC Implementation
Lecture 33 - MCMC Diagnostics
Lecture 34 - MCMC Examples
Lecture 35 - MCMC Sampling for Data with Multiple Observations
Lecture 36 - Hamiltonian Monte Carlo
Lecture 37 - HMC Implementation
Lecture 38 - HMC Example
Lecture 39 - Introduction to brms
Lecture 40 - Parameter Estimation using brms
Lecture 41 - Introduction to Regression Models
Lecture 42 - Regression Modeling using brms
Lecture 43 - Logistic and Poisson Regression
Lecture 44 - Regression Modelling Examples
Lecture 45 - Interaction Effect and Nested Contrast
Lecture 46 - Posterior Predictive Checks
Lecture 47 - Information- Theoretic Measures of Predictive Accuracy
Lecture 48 - Expected Log Predictive Density (ELPD)
Lecture 49 - Cross Validation
Lecture 50 - Cross Validation Implementation
Lecture 51 - Validations with Brms
Lecture 52 - Bayes Factor
Lecture 53 - Bayes factor Implementation
Lecture 54 - Hypothesis Testing using Bayes Factors
Lecture 55 - Computing Bayes Factor using Bridge Sampling
Lecture 56 - Bayesian Hierarchical Models
Lecture 57 - Hierarchical Regression Models
Lecture 58 - ndividual Difference Models
Lecture 59 - Hierarchical Modeling with brms
Lecture 60 - Theory Testing and Computational Modeling