Sampling Distributions (CLT)
Struggle with the Central Limit Theorem? Draw 10,000 samples from highly skewed or bimodal parent populations and watch the perfect normal bell curve emerge.
Power of a Test Curve
Visualize how Statistical Power responds dynamically to Effect Size (mu_a), Sample Size, and Alpha. Plot the complete functional power curve.
ANOVA Variance Ratio
Deconstruct Analysis of Variance geometrically. Shift group means (MSB) and internal scatter (MSW) to see the massive impact on the F-statistic and P-value.
Central Limit Theorem
t-Distribution vs Normal
Examine the heavy-tailed Student's t-distribution. Increase degrees of freedom (df) to watch it perfectly converge into the standard normal z-distribution.
Normal Distribution Explorer
Adjust mean and standard deviation to see how the normal distribution bell curve shifts and stretches. Shade probability regions to compute areas under the curve and connect z-scores to percentiles.
Chi-Square Goodness of Fit
Calculate and visualize deviations from expected categorical frequencies. Generates the exact right-skewed Chi-Square distribution and P-Value tail.
Type I/II Error Tradeoff & Power
Visualize the fundamental tradeoff between alpha, beta, and statistical power in Hypothesis Testing. Interactive normal distribution sampling curves.
Hypothesis Testing
Residual Plots
Evaluate the appropriateness of Least Squares Regression Lines (LSRL). Detect curvilinear patterns, heteroscedasticity, and influential outliers.
Scatter Plot & Correlation
Least
Confidence Intervals
Binomial Distribution
Boxplot & Outlier Visualizer
Simpson's Paradox Visualizer
Unlock one of statistics' most counter-intuitive phenomenons. Observe two completely separate datasets that both exhibit strong POSITIVE correlations. Merge them together and watch the global line of best fit instantly reverse into a NEGATIVE correlation.
Central Limit Theorem (Galton Board)
A dynamic 2D physics simulation of a Galton Board (Plinko). Drop hundreds of balls that make 50/50 left-right decisions, compounding entirely random events into a mathematically perfect Normal Distribution bell curve.
Least Squares Regression Predictor
Dynamically adjust a line of best fit to actively minimize the sum of squared residuals (SSE) compared to the true OLS regression model.
Margin of Error Simulator
Visualize exactly what the Margin of Error means geometrically. Observe how increasing sample size shrinks it while demanding higher confidence widens it.