Hypothesis Testing in R (R Code Examples)

This interactive resource presents one-sample and two-sample hypothesis testing examples in R. It covers raw-data and summary statistics examples for Z-tests, T-tests, pooled and unpooled (Welch's) two-sample tests, paired tests, and non-parametric tests. Designed especially for beginners in R-programming in an introductory probability and statistics course, it guides students step-by-step through each test's implementation.

Format: Interactive HTML (Hosted on GitHub)

Descriptive Measures Overview

A concise overview of key descriptive statistics, including mean, median, mode, and standard deviation.

Format: Overview

Chi-Square Test Overview

An introduction to the Chi-Square test, its applications, and how to interpret results.

Format: Overview

Normal Distribution Lecture Notes (with R Code)

Comprehensive lecture notes on the normal distribution, including properties, applications, and R code examples for analysis.

Format: Lecture Notes (PDF)

Hypothesis Testing & Confidence Intervals for Proportions

Explore beginner-friendly, step-by-step lecture notes on statistical inference for population proportions. This resource covers confidence intervals, margin of error, sample size calculation, and hypothesis testing for one and two proportions. Ideal for students and educators in statistics, data science, and introductory analytics courses. Includes R code examples and interpretation tips for real-world applications.

Format: Lecture Notes (PDF)

Chain Rule & Higher Order Derivatives (Interactive)

This interactive web-based activity is designed to help students learn and practice differentiation rules. It promotes active learning and collaborative problem-solving by encouraging students to work in groups and discuss their approaches.

Format: Interactive HTML

Interactive Conic Sections Mind Map (Algebra 2)

Master Conic Sections with this comprehensive, interactive mind map visualization, perfect for Algebra 2 students. Visually explore and understand the definitions, properties, graphing principles, and standard/shifted equations for Parabolas, Circles, Ellipses, and Hyperbolas.

This interactive learning tool helps you learn to identify key features like the focus, directrix, vertex, center, radius, axes, foci, and asymptotes, including understanding parameters like p, r, and c. Clear mathematical equations (rendered via KaTeX) make complex concepts easier to grasp. Click nodes to expand/collapse branches for focused, self-paced study.

Format: Interactive HTML Mind Map (Study Guide / Learning Tool)

Sequences & Series: Convergence Tests (AP Calculus BC)

Explore an interactive overview of sequence and series convergence tests: n-th Term Test, Direct & Limit Comparison, p-Series, Alternating Series, Ratio & Root Tests, and Integral Test. Includes examples, visualizations, and explanations.

Format: Interactive HTML

Mathematics in Animation: A Demonstration

See how high school level math can be used in making simple animations. This video demonstrates the concepts taught in the special topics course at the University of Memphis.

Format: Video Demonstration