Statistics Notes

These notes are to accompany my course at UCSD, they follow directly the structure of my course. Currently they are a work in progress, but I hope they are helpful.

Main chapters have headings next to the chapter numbers. Asides referred to in the Chapters are indicated by circles.

Contents

1. Introduction
2. Data Description
• Computation
• Sample Mean Derivation
3. Probability Distributions
• Review of Probability Basics
• Worked Examples
• Reading Binomial Tables
• Calculations with the Standard Normal Distribution
4. Bivariate Random Variables
• More Work on Conditional Distributions
• Discrete RV worked example
• Continuous RV worked example
5. Sampling
• LLN proof
• t distributions
• Normal Approximation to Binomial
6. Data Generation
• Forms of Sampling Bias
• Project Star
7. Point Estimation
8. Hypothesis Testing
• p-Value Controversy
9. Confidence Intervals
10. Summary