Regression Analysis
Foundational Statistics
Welcome
Introduction
1
What is Statistics?
2
The Unavoidable Math
3
Surveys: Key Concepts
4
Variable Classification
Descriptive Statistics
5
Describing a Dataset
6
Measures of Central Tendency
7
Measures of Dispersion
Probability Theory
8
Probability Concepts
9
What is Probability?
10
Counting Rules
11
Probability Rules
Random Variables and Probability Distributions
12
Random Variables
13
Discrete Probability Distributions
14
Continuous Probability Distributions
15
Jointly Distributed Random Variables
Sampling and Sampling Distributions
16
Sampling
17
Sampling Distributions for a Sample Mean
18
Sampling Distributions for a Sample Proportion
19
Central Limit Theorem
Inferential Statistics
20
From Probability to Statistical Inference
21
Estimation
22
Hypothesis Testing
23
Chi Square Tests
Regression Analysis
References
Appendices
A
The Standard Normal Distribution Table
B
The
\(t\)
Distribution Table
C
The
\(\chi^2\)
Distribution Table
Regression Analysis
Simple Linear Regression
Multiple Linear Regression
OLS estimation
Gauss Markov Theorem
Model Assumptions and Diagnostics
Dummy variables and Interaction Terms
Endogeneity and IV estimation
[1] 2
23
Chi Square Tests
References