Statistical Rethinking

Höfundur Richard McElreath

Útgefandi Taylor & Francis

Snið ePub

Print ISBN 9780367139919

Útgáfa 2

Útgáfuár 2020

12.690 kr.

Description

Efnisyfirlit

  • Cover
  • Half Title
  • Series Page
  • Title Page
  • Copyright Page
  • Table of Contents
  • Preface to the Second Edition
  • Preface
  • Audience
  • Teaching strategy
  • How to use this book
  • Installing the rethinking R package
  • Acknowledgments
  • Chapter 1. The Golem of Prague
  • 1.1. Statistical golems
  • 1.2. Statistical rethinking
  • 1.3. Tools for golem engineering
  • 1.4. Summary
  • Chapter 2. Small Worlds and Large Worlds
  • 2.1. The garden of forking data
  • 2.2. Building a model
  • 2.3. Components of the model
  • 2.4. Making the model go
  • 2.5. Summary
  • 2.6. Practice
  • Chapter 3. Sampling the Imaginary
  • 3.1. Sampling from a grid-approximate posterior
  • 3.2. Sampling to summarize
  • 3.3. Sampling to simulate prediction
  • 3.4. Summary
  • 3.5. Practice
  • Chapter 4. Geocentric Models
  • 4.1. Why normal distributions are normal
  • 4.2. A language for describing models
  • 4.3. Gaussian model of height
  • 4.4. Linear prediction
  • 4.5. Curves from lines
  • 4.6. Summary
  • 4.7. Practice
  • Chapter 5. The Many Variables & The Spurious Waffles
  • 5.1. Spurious association
  • 5.2. Masked relationship
  • 5.3. Categorical variables
  • 5.4. Summary
  • 5.5. Practice
  • Chapter 6. The Haunted DAG & The Causal Terror
  • 6.1. Multicollinearity
  • 6.2. Post-treatment bias
  • 6.3. Collider bias
  • 6.4. Confronting confounding
  • 6.5. Summary
  • 6.6. Practice
  • Chapter 7. Ulysses’ Compass
  • 7.1. The problem with parameters
  • 7.2. Entropy and accuracy
  • 7.3. Golem taming: regularization
  • 7.4. Predicting predictive accuracy
  • 7.5. Model comparison
  • 7.6. Summary
  • 7.7. Practice
  • Chapter 8. Conditional Manatees
  • 8.1. Building an interaction
  • 8.2. Symmetry of interactions
  • 8.3. Continuous interactions
  • 8.4. Summary
  • 8.5. Practice
  • Chapter 9. Markov Chain Monte Carlo
  • 9.1. Good King Markov and his island kingdom
  • 9.2. Metropolis algorithms
  • 9.3. Hamiltonian Monte Carlo
  • 9.4. Easy HMC: ulam
  • 9.5. Care and feeding of your Markov chain
  • 9.6. Summary
  • 9.7. Practice
  • Chapter 10. Big Entropy and the Generalized Linear Model
  • 10.1. Maximum entropy
  • 10.2. Generalized linear models
  • 10.3. Maximum entropy priors
  • 10.4. Summary
  • Chapter 11. God Spiked the Integers
  • 11.1. Binomial regression
  • 11.2. Poisson regression
  • 11.3. Multinomial and categorical models
  • 11.4. Summary
  • 11.5. Practice
  • Chapter 12. Monsters and Mixtures
  • 12.1. Over-dispersed counts
  • 12.2. Zero-inflated outcomes
  • 12.3. Ordered categorical outcomes
  • 12.4. Ordered categorical predictors
  • 12.5. Summary
  • 12.6. Practice
  • Chapter 13. Models With Memory
  • 13.1. Example: Multilevel tadpoles
  • 13.2. Varying effects and the underfitting/overfitting trade-off
  • 13.3. More than one type of cluster
  • 13.4. Divergent transitions and non-centered priors
  • 13.5. Multilevel posterior predictions
  • 13.6. Summary
  • 13.7. Practice
  • Chapter 14. Adventures in Covariance
  • 14.1. Varying slopes by construction
  • 14.2. Advanced varying slopes
  • 14.3. Instruments and causal designs
  • 14.4. Social relations as correlated varying effects
  • 14.5. Continuous categories and the Gaussian process
  • 14.6. Summary
  • 14.7. Practice
  • Chapter 15. Missing Data and Other Opportunities
  • 15.1. Measurement error
  • 15.2. Missing data
  • 15.3. Categorical errors and discrete absences
  • 15.4. Summary
  • 15.5. Practice
  • Chapter 16. Generalized Linear Madness
  • 16.1. Geometric people
  • 16.2. Hidden minds and observed behavior
  • 16.3. Ordinary differential nut cracking
  • 16.4. Population dynamics
  • 16.5. Summary
  • 16.6. Practice
  • Chapter 17. Horoscopes
  • Endnotes
  • Bibliography
  • Citation index
  • Topic index
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