Links and References
Books
Required Texts:
Standard texts
Probability and Statistics, Degroot and Schervish
Probability and Statistics for Engineering and the Sciences, Devore
A Modern Introduction to Probability and Statistics: Understanding Why and How, Dekking, Kraaikamp, Lopuhaa ̈, Meester (free GT Download)
Non-standard text
Introductory Statistics and Random Phenomena: Uncertainty, Complexity and Chaotic Behavior in Engineering and Science, Denker and Woyczynski
Required Texts:
- All of Statistics: A Concise Course in Statistical Inference, Larry Wasserman (12/01/2010) Errata and R-code
- How to Lie with Statistics, Huff
Standard texts
Probability and Statistics, Degroot and Schervish
Probability and Statistics for Engineering and the Sciences, Devore
A Modern Introduction to Probability and Statistics: Understanding Why and How, Dekking, Kraaikamp, Lopuhaa ̈, Meester (free GT Download)
Non-standard text
Introductory Statistics and Random Phenomena: Uncertainty, Complexity and Chaotic Behavior in Engineering and Science, Denker and Woyczynski
Interesting References
Chance and Chaos, D. Ruelle
Data Analysis for Politics and Policy, E. Tufte (still very insightful)
Nature Methods: "Points of Significance"
Nature Methods: Statistics Practical Guides
Data Non-reproduciblity Crisis in Science and Medical Journals
Over half of psychology studies fail reproducibility test (Nature)
Data fabrication and other reasons for non-random sampling in 5087 randomised, controlled trials in anaesthetic and general
medical journals, Carsisle (June 2017) Guardian article
Chapter 1
Dynamical Bias in the Coin Flip, Diaconis, Holmes, Montgomery
The mathematical foundations of randomness,Terwijn (see also book by Denker and Woyczynski)
Cool visual explanation of conditional probability
Bayes' Theorem with Legos *
Bayes' Theorem visualized
Baysian spam filtering (Croot)
Baysian inference at the movies and at the veterinarian *
Bayes' theorem and the existence of God
16 things you can say about sets A and B *
What are natural frequencies?
Proof that matrix multiplication is associative
Interpretation of Bayes Theorem applied to positive mammography results (required reading for PreMed students)
Chapter 2
Probability distributions and their relationships
Joint Distributions, Independence (MIT)
Review of multiple integrals 1 2
Chapter 3
Current controversy of p-values
Redefine statistical significance (July 2017)
ASA's policy statement on statistical significance and p-value (May 2016)
Revised standards for statistical evidence, Johnson
A dirty dozen: twelve p-value misconceptions
A clinician's view of p-values and Baysian inference theory
EDA
What's so Hard About Histograms?
Improvements of box plots
Chance and Chaos, D. Ruelle
Data Analysis for Politics and Policy, E. Tufte (still very insightful)
Nature Methods: "Points of Significance"
Nature Methods: Statistics Practical Guides
Data Non-reproduciblity Crisis in Science and Medical Journals
Over half of psychology studies fail reproducibility test (Nature)
Data fabrication and other reasons for non-random sampling in 5087 randomised, controlled trials in anaesthetic and general
medical journals, Carsisle (June 2017) Guardian article
Chapter 1
Dynamical Bias in the Coin Flip, Diaconis, Holmes, Montgomery
The mathematical foundations of randomness,Terwijn (see also book by Denker and Woyczynski)
Cool visual explanation of conditional probability
Bayes' Theorem with Legos *
Bayes' Theorem visualized
Baysian spam filtering (Croot)
Baysian inference at the movies and at the veterinarian *
Bayes' theorem and the existence of God
16 things you can say about sets A and B *
What are natural frequencies?
Proof that matrix multiplication is associative
Interpretation of Bayes Theorem applied to positive mammography results (required reading for PreMed students)
Chapter 2
Probability distributions and their relationships
Joint Distributions, Independence (MIT)
Review of multiple integrals 1 2
Chapter 3
Current controversy of p-values
Redefine statistical significance (July 2017)
ASA's policy statement on statistical significance and p-value (May 2016)
Revised standards for statistical evidence, Johnson
A dirty dozen: twelve p-value misconceptions
A clinician's view of p-values and Baysian inference theory
EDA
What's so Hard About Histograms?
Improvements of box plots
Software
Random walk simulations (Matlab)
Python Plotting for Exploratory Data Analysis
Core Statistics, Wood (Brief introduction to probability and statistics with good intro to R)
Statistics with Matlab
Matlab probability demos
Statistics with Mathematica
Random walk simulations (Matlab)
Python Plotting for Exploratory Data Analysis
Core Statistics, Wood (Brief introduction to probability and statistics with good intro to R)
Statistics with Matlab
Matlab probability demos
Statistics with Mathematica