Explore these resources to enhance your understanding of statistical concepts and methods.
This interactive resource presents one-sample and two-sample hypothesis testing examples in R. 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 for beginners in R-programming in an introductory probability and statistics course.
Format: Interactive HTML (Hosted on GitHub)
View Hypothesis Testing R CodeA concise overview of key descriptive statistics, including mean, median, mode, and standard deviation.
Format: Overview Image
Introduction to the Chi-Square test, its applications, and how to interpret results.
Format: Overview Image
Comprehensive lecture notes on the normal distribution, including properties, applications, and R code examples for analysis.
Format: Lecture Notes (PDF)
📥 Download PDFBeginner-friendly, step-by-step lecture notes on statistical inference for population proportions. Covers confidence intervals, margin of error, sample size calculation, and hypothesis testing for one and two proportions. Includes R code examples and real-world interpretation tips.
Format: Interactive HTML
🖥️ Open Lecture NotesClear, beginner-focused lecture notes explaining simple linear regression concepts, interpretation of slope, intercept, R-squared, and hypothesis testing in regression, with R examples.
Format: Interactive HTML
🖥️ Open Lecture NotesLecture notes on the Chi-Square tests for independence and goodness-of-fit with R-code examples.
Format: Interactive HTML
🖥️ Open Lecture NotesComprehensive guide to One-Way ANOVA including F-distribution theory, assumptions checking, implementation in R, and post-hoc analysis using Tukey's HSD. Features interactive visualizations and real-world examples.
Format: Interactive HTML with R Code
📊 Open ANOVA GuideDive into these calculus and algebra resources to strengthen your skills and explore key concepts.
Interactive web-based activity designed to help students learn and practice differentiation rules through group discussion and collaboration.
Format: Interactive HTML
🖥️ Open Interactive ActivityInteractive web activity for solving constrained and unconstrained optimization problems using the method of Lagrange multipliers.
Format: Interactive HTML
🖥️ Open Optimization ActivityMaster Conic Sections visually through an interactive mind map covering parabolas, circles, ellipses, and hyperbolas, with clear equations and focus on properties like foci, vertices, and asymptotes.
Format: Interactive HTML Mind Map
🗺️ Explore Mind MapInteractive resource explaining sequence and series convergence tests including nth term, ratio test, root test, comparison tests, and more with examples.
Format: Interactive HTML
🖥️ Explore Convergence TestsDiscover the practical applications of mathematics in various fields.
Video demonstration showing how high school-level mathematics can be used to create simple computer animations. Based on the special topics course taught at the University of Memphis.
Format: Video
Explore sine and cosine functions by adjusting amplitude, period, phase shift, and vertical shift parameters. Visualize how each parameter affects the graph and learn key characteristics.
Format: Interactive HTML
🖥️ Explore Trigonometric FunctionsPractice 23 essential linear algebra exam problems—covering matrix operations, determinants, invertibility, Gaussian elimination, and more—each with step-by-step solutions and interactive worked examples for matrix addition, multiplication, and inverses.
Format: Interactive HTML
🖥️ Explore Linear Algebra Exam 1 PracticeExplore how modern AI predicts the next word using core linear algebra ideas! Visualize word relationships as geometric vectors, and see how cosine similarity powers smart language models like ChatGPT—complete with an interactive mindmap, worked examples, and LaTeX-rendered math.
Format: Interactive HTML
🖥️ Explore AI & Linear Algebra DemoExemplary student-created resources shared with permission for the benefit of learners and educators.
Created by Nityasri Bhaskar — Parkway Central High School, 10th Grade (Algebra II).
Open the mind‑map in a separate tab for best viewing and zoom controls.
Format: SVG (Scalable Vector Graphic)
🔎 Open Mind‑Map in New Tab
