Course10610484461 lectures
Bayesian Data Analysis for the Behavioral Sciences
Prof. Himanshu Yadav · IIT Kanpur
Lectures
Week 1
- Lecture 1: Sets
- Lecture 2: Probability Axioms
- Lecture 3:Probability Assignment
- Lecture 4:Probability Assigner Functions
- Lecture 5: Random Variables
Week 2
- 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
Week 3
- 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
Week 4
- Lecture 16: Bayesian Inference
- Lecture 17: Likelihood, Prior and Posterior in R
- Lecture 18: How the data, prior affects the posterior
- Lecture 19: Prior & Posterior Predictions
- Lecture 20: Generating Prior and Posterior Prediction in R
Week 5
- 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
Week 6
- 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
Week 7
- 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
Week 8
- Lecture 36: Hamiltonian Monte Carlo
- Lecture 37: HMC Implimentation
- Lecture 38: HMC Example
- Lecture 39: Introduction to brms
- Lecture 40: Parameter Estimation using brms
Week 9
- Lecture 41: Introduction to Regression Models
- Lecture 42: Regression Modeling using brms
- Lecture 43: Logistic & Poisson Regression
- Lecture 44: Regression Modelling Examples
- Lecture 45: Interaction Effect & Nested Contrast
Week 10
- 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
Week 11
- 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
- Feedback for Week 11
Week 12
Syllabus and materials
At NPTEL, as the course publishes them.
Credits and licence
- Institution
- IIT Kanpur
- Department
- Computer Science and Engineering
- Teacher
- Prof. Himanshu Yadav
- Level
- Undergraduate
- Language
- English
- Subjects
- Computer science, Engineering
- Source
- NPTEL
- Licence
- CC BY-NC-SA, as NPTEL states it. Non-commercial use only. NPTEL's terms
- Attribution
- NPTEL states: "Distributed under Creative Commons Attribution-ShareAlike / CC BY - NC - SA", beside a BY-NC-SA badge.
- Who can watch
- NPTEL gives no rating. Invisible Network shows it to Tweens profiles and older, judged from what the source says about it. How courses are placed
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