Introduction to Statistics and Probability
An overview of the fundamental concepts in statistics and probability, essential for data science and machine learning.
Descriptive Statistics
A comprehensive overview of descriptive statistics, including measures of central tendency, dispersion, skewness, and kurtosis, with detailed examples and applications.
Probability Theory Basics
A comprehensive guide to the fundamentals of probability theory, including key concepts such as independent and dependent events, conditional probability, and Bayes' Theorem.
Probability Distributions
A comprehensive guide to probability distributions, including key concepts and detailed examples of the Normal, Binomial, and Poisson distributions.
Sampling Methods and the Central Limit Theorem
A comprehensive guide to sampling methods in statistics, including simple random sampling, stratified sampling, and an in-depth exploration of the Central Limit Theorem and its significance.
Hypothesis Testing
A comprehensive guide to hypothesis testing, including null and alternative hypotheses, p-values, significance levels, and understanding Type I and Type II errors.
Confidence Intervals
A comprehensive guide to confidence intervals, including how to construct and interpret them, understanding confidence levels, and margin of error with practical examples.
Correlation and Causation
A comprehensive guide to understanding correlation and causation, including how to calculate Pearson and Spearman correlation coefficients, and how to distinguish between correlation and causation in data analysis.
Regression Analysis
A comprehensive guide to regression analysis, including linear regression, multiple regression, assumptions, and how to interpret regression results.
ANOVA (Analysis of Variance)
A comprehensive guide to ANOVA, including one-way and two-way ANOVA, assumptions, and how to interpret the results.
Chi-Square Tests
A comprehensive guide to Chi-Square tests, including the goodness-of-fit test and the test of independence, with step-by-step examples and interpretations.