MATH 4720 - Introduction to Statistics

Introduce the ideas of data summary visualization, probability and statistics with emphasis on applications to the natural and social sciences and to everyday life. Topics include random variables, discrete and continuous probability distributions, sampling distributions, confidence intervals, hypothesis testing, analysis of variance and linear regression. This introductory course lays a solid foundation for higher level probability, statistical inference, machine learning and data science.

The GitHub repo for the course is currently private. The course slides are shared below.

• Welcome Aboard
• Overview of Statistics and Data
• You RRR a Beginner: R, RStudio and RStudio Cloud
• You RRR a Beginner: Operators and Data Types
• Data Description
• Probability Fundamentals
• Probability Distributions
• Normal Approximation, Sampling Distribution, and Central Limit Theorem
• Statistical Inference: Point and Interval Estimation
• Statistical Inference: Hypothesis Testing
• Comparing Two Population Mean
• Inference About Population Variances
• Analysis of Variance
• Inference for Categorical Data
• Correlation
• Linear Regression

In addition to the textbook, another main resource is OpenIntro Statistics.

The materials for this course are licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.

The course number/name is MATH 4720 Statistical Methods, which is misleading because it is an introductory statistics course.