Professor Knudson Courses

Moment Generating Functions

1 review

Explore moment generating functions in-depth with Professor Knudson's comprehensive 8-part video series, covering theory and applications in probability and statistics.

• YouTube
• 30 minutes
• On-Demand
• Free Video

Combinatorics

1 review

Explore fundamental concepts of combinatorics, including ordered sequences, permutations, and probability, with applications to real-world scenarios like poker hands.

• YouTube
• 30 minutes
• On-Demand
• Free Video

ANOVA - Analysis of Variance

Learn statistical analysis techniques with Anova, covering one-way and two-way methods, calculations, notations, and test statistics for effective data interpretation.

• YouTube
• 30 minutes
• On-Demand
• Free Video

Randomization-Based Hypothesis Testing

Learn randomization-based hypothesis testing in under an hour with Professor Christina Knudson.

• YouTube
• 30 minutes
• On-Demand
• Free Video

Introductory Hypothesis Testing

Learn essential concepts and techniques for statistical hypothesis testing, including p-values, errors, and various test types for means and proportions.

• YouTube
• 1 hour 30 minutes
• On-Demand
• Free Video

Bootstrap Confidence Intervals

Learn to create and interpret bootstrap confidence intervals for various statistical measures, enhancing your data analysis skills.

• YouTube
• 30 minutes
• On-Demand
• Free Video

Regression

Explore point estimation, maximum likelihood, and distribution for regression coefficients, focusing on ordinary least squares and slope estimator analysis.

• YouTube
• 30 minutes
• On-Demand
• Free Video

Maximum Likelihood Estimation

Explore maximum likelihood estimation through examples of binomial, Poisson, and uniform distributions, enhancing statistical analysis skills.

• YouTube
• 30 minutes
• On-Demand
• Free Video

Transformations of Random Variables

Explore linear transformations, sums, and monotone functions in random variables, enhancing your understanding of probability theory and statistical analysis.

• YouTube
• 30 minutes
• On-Demand
• Free Video

Multiple Random Variables - Joint and Conditional Distributions

Explore joint and conditional distributions of multiple random variables, covering discrete and continuous cases, CDFs, independence, covariance, and variance of sums.

• YouTube
• 1 hour 30 minutes
• On-Demand
• Free Video

Continuous Random Variables

Explore continuous random variables, probability density functions, and key distributions in probability theory, enhancing your understanding of statistical concepts and applications.

• YouTube
• 1 hour 30 minutes
• On-Demand
• Free Video

Discrete Random Variables

Explore discrete random variables, including binomial, hypergeometric, and Poisson distributions. Learn probability mass functions, expected values, and variance in this comprehensive introduction.

• YouTube
• 1 hour 30 minutes
• On-Demand
• Free Video

Probability Groundwork

Explore fundamental concepts of probability, including conditional probability, total probability law, Bayes' theorem, and independent events in this comprehensive introduction.

• YouTube
• 1 hour 30 minutes
• On-Demand
• Free Video

Calculus

Master advanced calculus techniques including integration methods, series convergence, and Taylor series applications.

• YouTube
• 3 hours 30 minutes
• On-Demand
• Free Video

Linear Regression Essentials

Comprehensive overview of linear regression, covering simple and multiple regression, matrix notation, estimator properties, inference, and model evaluation metrics.

• YouTube
• 30 minutes
• On-Demand
• Free Video