Introduction to Statistics

Introduction to Hypothesis Testing


1.1 Introduction


1.2 Sample and Population


1.3 Types of Variables in Statistics


1.4 Descriptive Statistics (Central Tendency Measures)


1.5 Descriptive Statistics (Variance and Quantiles)


1.6 Normal Distribution


1.7 Central Limit Theorem


1.8 Confidence Intervals


1.9 Statistical Hypothesis Testing

Categorical Data Analysis


2.1 Introduction. Categorical Data in Statistics


2.2 Chi-Squared Distance


2.3 Pearson Distribution, Degrees of Freedom and Chi-Squared Test


2.4 Contingency Table Analysis


2.5 P-value Calculation


2.6 Fisher's Exact Test

T- test and Analysis of Variance


3.1 Student's t-Distribution


3.2 Student's t-Test


3.3 One-Way ANOVA


3.4 Post Hoc Analysis

Correlation and Linear Regression


4.1 Definitions of Covariance and Correlation


4.2 Simple Linear Regression. Least Squares. Residuals.


4.3 Predictions from Linear Regression. Assumptions.


4.4 Multiple Linear Regression