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020 _a9780367139919
040 _cIIT Kanpur
041 _aeng
082 _a519.542
_bM154s2
100 _aMcElreath, Richard
245 _aStatistical rethinking [2nd ed.]
_ba Bayesian course with examples in R and Stan
_cRichard McElreath
250 _a2nd ed.
260 _bCRC Press
_c2020
_aBoca Raton
300 _axvii, 593p
440 _aTexts in statistical science series
490 _a/ edited by Joseph K. Blitzstein ...[et al.]
520 _aStatistical Rethinking: A Bayesian Course with Examples in R and Stan builds your knowledge of and confidence in making inferences from data. Reflecting the need for scripting in today's model-based statistics, the book pushes you to perform step-by-step calculations that are usually automated. This unique computational approach ensures that you understand enough of the details to make reasonable choices and interpretations in your own modeling work. The text presents causal inference and generalized linear multilevel models from a simple Bayesian perspective that builds on information theory and maximum entropy. The core material ranges from the basics of regression to advanced multilevel models. It also presents measurement error, missing data, and Gaussian process models for spatial and phylogenetic confounding. The second edition emphasizes the directed acyclic graph (DAG) approach to causal inference, integrating DAGs into many examples. The new edition also contains new material on the design of prior distributions, splines, ordered categorical predictors, social relations models, cross-validation, importance sampling, instrumental variables, and Hamiltonian Monte Carlo. It ends with an entirely new chapter that goes beyond generalized linear modeling, showing how domain-specific scientific models can be built into statistical analyses. Features Integrates working code into the main text Illustrates concepts through worked data analysis examples Emphasizes understanding assumptions and how assumptions are reflected in code Offers more detailed explanations of the mathematics in optional sections Presents examples of using the dagitty R package to analyze causal graphs Provides the rethinking R package on the author's website and on GitHub
650 _aBayesian statistical decision theory
650 _aR (Computer program language)
942 _cBK
999 _c565080
_d565080