Chapter 1

Basic Statistics and Probability

Measures of central tendency and dispersion

medium • 1 min read

Probability concepts (Marginal, Conditional, Joint)

medium • 2 min read

Bayes' Theorem and business applications

medium • 3 min read

Discrete probability distributions (Binomial, Poisson)

medium • 4 min read

Continuous probability distributions (Normal, Standard Normal)

medium • 5 min read

Chapter 2

Sampling and Estimation

Sampling methods (Random, Stratified, Cluster)

medium • 1 min read

Sampling distribution of the mean and Central Limit Theorem

medium • 2 min read

Standard error and margin of error

medium • 3 min read

Point estimates and interval estimates

medium • 4 min read

Confidence intervals for means and proportions

medium • 5 min read

Chapter 3

Hypothesis Testing

Null vs Alternative hypotheses formulation

medium • 1 min read

Type I (Alpha) and Type II (Beta) errors

medium • 2 min read

One-tailed and two-tailed tests

medium • 3 min read

P-value approach vs Critical value approach

medium • 4 min read

One-sample and two-sample t-tests; Z-tests

medium • 5 min read

Chapter 4

Analysis of Variance (ANOVA)

Concept and assumptions of ANOVA

medium • 1 min read

One-way ANOVA calculations and interpretation

medium • 2 min read

Two-way ANOVA and interaction effects

medium • 3 min read

Post-hoc tests (Tukey's HSD)

medium • 4 min read

Applications of ANOVA in business experiments (A/B testing)

medium • 5 min read

Chapter 5

Correlation and Regression

Pearson and Spearman correlation coefficients

medium • 1 min read

Simple Linear Regression (SLR) model and assumptions

medium • 2 min read

Method of Least Squares and Line of Best Fit

medium • 3 min read

Coefficient of Determination (R-squared)

medium • 4 min read

Multiple Linear Regression (MLR) and dummy variables

medium • 5 min read