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Statistical Methods Intro Lecture (Day 1)

Statistical Methods: Intro to Probability and Counting

Conditional Probability, Bayes' Theorem, and Independence

Independent Events Continued and Bayes' Theorem Example

Random Variables, Probability Distributions, Cumulative Distribution Functions

Discrete CDFs, Expected Values, and Binomial Distribution Intro

Discrete Distributions:: Binomial, Negative Binomial, Hypergeometric, and Poisson

Statistical Methods: Review Problems For Discrete Distributions

Continuous Random Variables, PDFs, Uniform Dist, CDFs

Continuous Random Variables, Expected Values, and the Normal Distribution

Continuous Distributions: Exponential, Gamma, Weibull, Lognormal, and Beta. Also Joint Probability

Joint Distributions, Continuous Random Variables, Expected Values and Covariance

Covariance and Correlation and the Central Limit Theorem

Confidence Intervals for the Mean and Population Proportion.

Full Lecture: Confidence Intervals for Standard Deviation and General Hypothesis Testing

Hypothesis Testing Lecture Continued

Statistical Methods Exam 2 Review Problems

Statistical Methods Exam 2 Review Problems Continued

Hypothesis Testing Continued (Single and Two Sample Tests)

Two Sample Hypothesis Tests Continued | Paired Data and Population Proportions

Single Factor Anova Lecture

Linear Regression Intro Lecture: Calculus Based Lecture

Hypothesis Testing Linear Regression Parameters

Statistical Methods Exam 3 Review Problems

Description:

Dive into a comprehensive 23-hour lecture series on statistical methods covering probability, distributions, hypothesis testing, and regression analysis. Learn about conditional probability, Bayes' theorem, random variables, discrete and continuous distributions, confidence intervals, ANOVA, and linear regression. Explore practical applications through review problems and exam preparation sessions. Gain a solid foundation in statistical concepts and techniques essential for data analysis and research across various fields.

Statistical Methods

Jonathan Walters

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#Mathematics #Statistics & Probability #Probability #Normal Distribution #Probability Theory #Probability Distributions #Binomial Distribution #Statistical Methods #Data Science #Expected Values #Covariance

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