Watkins Joseph C. An Introduction to the Science of Statistics: From Theory to Implementation

University of Arizona, 2016. — 434 p.Organizing and Producing Data
Displaying Data
Describing Distributions with Numbers
Correlation and Regression
Producing Data
Probability
The Basics of Probability
Conditional Probability and Independence
Random Variables and Distribution Functions
The Expected Value
The Law of Large Numbers
The Central Limit Theorem
Estimation
Overview of Estimation
Method of Moments
Unbiased Estimation
Maximum Likelihood Estimation
Interval Estimation
Hypothesis Testing
Simple Hypotheses
Composite Hypotheses
Extensions on the Likelihood Ratio
t Procedures
Goodness of Fit
Analysis of Variance
Appendix A: A Sample R Session