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)
Core Statistics, Wood (Brief introduction to probability and statistics with good intro to R)
Statistical Inference, Rohatgi (Many examples)
Mathematical Statistics and Data Analysis, Rice
Statistical Inference, Casella and Berger
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)
Core Statistics, Wood (Brief introduction to probability and statistics with good intro to R)
Statistical Inference, Rohatgi (Many examples)
Mathematical Statistics and Data Analysis, Rice
Statistical Inference, Casella and Berger
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
Probability and Statistics Cheat Sheet (Vallentin)
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?
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 (A. J. Hildrbrand)
Sums of uniform random variables
Order statistics
Chapter 3
What is a statistical model?, McCullagh
An Empirical Approach to Economic Intelligence in World War II (Ruggles)
Chapter 5
See Example 9.2 for example of sequence which converges in probability but not almost surely
Chapter 8
Bootstrap notes (Wasserman)
Bootstrap notes (Orloff and Bloom)
Original paper on bootstrap (Efron and Tibshirani)
Ratios: A short guide to confidence limits and proper use (Franz)
Chapter 9
Notes on moments
Method of Maximal Likelihood
The empirical distribution and the nonparametric likelihood
Chapter 10
Best practices in hypothesis testing
Five criticisms of significance testing
Evaluating the Relative Seriousness of Type I versus Type II Errors in Classical Hypothesis Testing
Confidence intervals and hypothesis testing
xkcd in hypothesis testing
More examples of hypothesis testing (from medicine)
Good examples of hypothesis testing (unknown author)
Proof of Neyman-Pearson lemma
Facts about Wald test
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
Psychology journal bans p-values
P-value, a true test of statistical significance? A cautionary note
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
Probability and Statistics Cheat Sheet (Vallentin)
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?
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 (A. J. Hildrbrand)
Sums of uniform random variables
Order statistics
Chapter 3
What is a statistical model?, McCullagh
An Empirical Approach to Economic Intelligence in World War II (Ruggles)
Chapter 5
See Example 9.2 for example of sequence which converges in probability but not almost surely
Chapter 8
Bootstrap notes (Wasserman)
Bootstrap notes (Orloff and Bloom)
Original paper on bootstrap (Efron and Tibshirani)
Ratios: A short guide to confidence limits and proper use (Franz)
Chapter 9
Notes on moments
Method of Maximal Likelihood
The empirical distribution and the nonparametric likelihood
Chapter 10
Best practices in hypothesis testing
Five criticisms of significance testing
Evaluating the Relative Seriousness of Type I versus Type II Errors in Classical Hypothesis Testing
Confidence intervals and hypothesis testing
xkcd in hypothesis testing
More examples of hypothesis testing (from medicine)
Good examples of hypothesis testing (unknown author)
Proof of Neyman-Pearson lemma
Facts about Wald test
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
Psychology journal bans p-values
P-value, a true test of statistical significance? A cautionary note
EDA
What's so Hard About Histograms?
Improvements of box plots
Data for homework assignments
Data for textbook assignments
Old Faithful Geyser data
Clyde datasets
Software
Random walk simulations from class demo (Matlab)
Empirical distribution functions from class demo (Matlab)
Bootstrap simulations from class demo (Matlab)
Introduction to R and R-scripts for textbook
Core Statistics, Wood (Brief introduction to probability and statistics with good intro to R)
Python graph gallery
Python Plotting for Exploratory Data Analysis
Statistics with Matlab
Matlab probability demos
Statistics with Mathematica
Data for textbook assignments
Old Faithful Geyser data
Clyde datasets
Software
Random walk simulations from class demo (Matlab)
Empirical distribution functions from class demo (Matlab)
Bootstrap simulations from class demo (Matlab)
Introduction to R and R-scripts for textbook
Core Statistics, Wood (Brief introduction to probability and statistics with good intro to R)
Python graph gallery
Python Plotting for Exploratory Data Analysis
Statistics with Matlab
Matlab probability demos
Statistics with Mathematica