Chapter 1

Descriptive Statistics

Types of data and their presentation

medium • 1 min read

Measures of central tendency: mean, median, mode

medium • 2 min read

Measures of dispersion: variance and standard deviation

medium • 3 min read

Skewness and kurtosis

medium • 4 min read

Correlation and simple regression analysis

medium • 5 min read

Chapter 2

Probability Theory

Concepts of probability and sample spaces

medium • 1 min read

Axioms of probability

medium • 2 min read

Conditional probability and independence

medium • 3 min read

Bayes' theorem and its applications

medium • 4 min read

Combinatorics and counting rules

medium • 5 min read

Chapter 3

Random Variables and Probability Distributions

Discrete and continuous random variables

medium • 1 min read

Probability mass and density functions

medium • 2 min read

Mathematical expectation and variance

medium • 3 min read

Jointly distributed random variables

medium • 4 min read

Covariance and correlation

medium • 5 min read

Chapter 4

Sampling and Estimation

Populations and samples

medium • 1 min read

Sampling distributions and the central limit theorem

medium • 2 min read

Point estimation and properties of estimators (unbiasedness, efficiency)

medium • 3 min read

Methods of estimation: maximum likelihood and moments

medium • 4 min read

Interval estimation and confidence intervals

medium • 5 min read

Chapter 5

Hypothesis Testing

Null and alternative hypotheses

medium • 1 min read

Type I and Type II errors and the power of a test

medium • 2 min read

One-tailed and two-tailed tests

medium • 3 min read

Testing hypotheses about means and proportions

medium • 4 min read

P-values and statistical significance

medium • 5 min read