Professor Knudson Courses

Moment Generating Functions

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Syllabus: Moment Generating Functions (Part 1).Moment Generating Functions (Part 2).Moment Generating Functions (Part 3).Moment Generating Functions (Part 4).Moment Generating Functions (Part 5).Moment Generating Functions (Part 6).Moment Generating Func…

• YouTube
• Less than 1 hour of material
• On-Demand
• Free Online Course

Anova (Analysis of Variance)

Syllabus: 1. Introduction to Anova (Analysis of Variance).2. Notation for One-Way Anova.3. One-Way Anova Calculations.4. One-Way Anova Table.5. Notation for Two-Way Anova (one rep per combination of effects).6. Calculations for Two-Way Anova (one rep).7.…

• YouTube
• Less than 1 hour of material
• On-Demand
• Free Online Course

Randomization-Based Hypothesis Testing

Syllabus: 1. Randomization-Based Hypothesis Testing (part 1 of 3). 2. Randomization-Based Hypothesis Testing (part 2 of 3). 3. Randomization-Based Hypothesis Testing (part 3 of 3).

• YouTube
• Less than 1 hour of material
• On-Demand
• Free Online Course

Introductory Hypothesis Testing

Syllabus: 1. Introduction to Hypothesis Testing for One Mean. 2. Hypothesis Test Errors. 3. P-Values (part 1 of 2). 4. P-Values (part 2 of 2). 5. Hypothesis Testing for One Mean (Variance Unknown). 6. Hypothesis Testing for Paired Data. 7. Hypothesis Te…

• YouTube
• 1-2 hours worth of material
• On-Demand
• Free Online Course

Bootstrap Confidence Intervals

Syllabus: 1. Why Bootstrap?. 2. Bootstrap for One Mean. 3. General Steps to Bootstrap. 4. Bootstrap Confidence Intervals for a Difference in Two Means. 5. Bootstrap Confidence Intervals for Regression Coefficients. 6. Characteristics of the Bootstrap Dis…

• YouTube
• Less than 1 hour of material
• On-Demand
• Free Online Course

Regression

Syllabus: 1. Point Estimation for Regression Coefficients (Ordinary Least Squares).2. Maximum Likelihood for Regression Coefficients (part 1 of 3).3. Maximum Likelihood for Regression Coefficients (part 2 of 3).4. Maximum Likelihood for Regression Coeffi…

• YouTube
• Less than 1 hour of material
• On-Demand
• Free Online Course

Maximum Likelihood Estimation

Syllabus: 1. Maximum Likelihood Estimation Basics. 2. MLE Example: Binomial. 3. MLE Example: Binomial Revisited. 4. MLE Example: Poisson. 5. MLE Example: Uniform.

• YouTube
• Less than 1 hour of material
• On-Demand
• Free Online Course

Transformations of Random Variables

Syllabus: 1. Transformations of Random Variables: Linear Transformations. 2. Transformations of Random Variables: Linear Transformations. 3. Transformations of Random Variables: Linear Transformations. 4. Transformations: Sums of Random Variables. 5. Tra…

• YouTube
• Less than 1 hour of material
• On-Demand
• Free Online Course

Multiple Random Variables: Joint and Conditional Distributions

Syllabus: Joint Distributions (Discrete Video 1). Joint Distributions (Discrete Video 2). Joint Distributions (Continuous Video 1). Joint Distributions (Continuous Video 2). Joint Distributions (Continuous Video 3). Joint Distributions (Continuous Video…

• YouTube
• 1-2 hours worth of material
• On-Demand
• Free Online Course

Continuous Random Variables

Syllabus: An Introduction to Continuous Random Variables and Probability Density Functions. The Uniform Distribution. Notes on Continuous Random Variables' Probability Density Functions. Cumulative Distribution Functions for Continuous Random Variables.…

• YouTube
• 1-2 hours worth of material
• On-Demand
• Free Online Course

Discrete Random Variables

Syllabus: An Introduction to Random Variables. Binomial Random Variables and the Binomial Distribution (part 1). Binomial Random Variables and the Binomial Distribution (part 2). Hypergeometric Random Variables and the Hypergeometric Distribution. Probab…

• YouTube
• 1-2 hours worth of material
• On-Demand
• Free Online Course

Combinatorics

Syllabus: Combinatorics: Ordered Sequences. Combinatorics: Permutations. Combinatorics: Multinomial Coefficients. Combinatorics: When Order Doesn't Matter. Combinatorial Probability. Combinatorial Probabiity: Should I be happy I got a pair in poker?.

• YouTube
• Less than 1 hour of material
• On-Demand
• Free Online Course

Probability Groundwork

Syllabus: Groundwork (part 1). Groundwork (part 2). Groundwork (part 3). Groundwork (part 4). Groundwork (part 5). Groundwork (part 6). Conditional Probability (part 1). Conditional Probability (part 2). Law of Total Probability. Bayes Theorem. Independe…

• YouTube
• 1-2 hours worth of material
• On-Demand
• Free Online Course

Calculus

Syllabus: Calculus Technique of Integration: Trig Substitution. Calculus Techniques of Integration: U-Substitution. Calculus Techniques of Integration: Trig Substitutions (Another Example). Calculus Techniques of Integration: Integration by Parts. Calcul…

• YouTube
• 3-4 hours worth of material
• On-Demand
• Free Online Course

Linear Regression Essentials

Syllabus: Simple Linear Regression with Matrix Notation. Multiple Linear Regression Part I: Notation and Dimensions. Multiple Linear Regression Part II: Properties of the Regression Estimator. Multiple Linear Regression Part III: Inference for One Regres…

• YouTube
• Less than 1 hour of material
• On-Demand
• Free Online Course