AP Statistics

Showing 12 results

Simpson's Paradox Visualizer visualization thumbnail
AP STATISTICS

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) visualization thumbnail
AP STATISTICS

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.

Normal Distribution Explorer visualization thumbnail
AP STATISTICS

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.

Type I/II Error Tradeoff & Power visualization thumbnail
AP STATISTICS

Type I/II Error Tradeoff & Power

Visualize the fundamental tradeoff between alpha, beta, and statistical power in Hypothesis Testing. Interactive normal distribution sampling curves.

Chi-Square Goodness of Fit visualization thumbnail
AP STATISTICS

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.

t-Distribution vs Normal visualization thumbnail
AP STATISTICS

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.

ANOVA Variance Ratio visualization thumbnail
AP STATISTICS

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.

Power of a Test Curve visualization thumbnail
AP STATISTICS

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.

Sampling Distributions (CLT) visualization thumbnail
AP STATISTICS

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.

Residual Plots visualization thumbnail
AP STATISTICS

Residual Plots

Evaluate the appropriateness of Least Squares Regression Lines (LSRL). Detect curvilinear patterns, heteroscedasticity, and influential outliers.

Binomial Distribution visualization thumbnail
AP STATISTICS

Binomial Distribution

Boxplot & Outlier Visualizer visualization thumbnail
AP STATISTICS

Boxplot & Outlier Visualizer