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AP Statistics

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

Type I/II Error & Statistical Power

Interactive hypothesis testing visualizer. Adjust Effect Size, Sample Size, and Alpha to instantly see the tradeoff balance between Type I Error, Type II Error, and Statistical Power.

Simpson's Paradox Visualizer visualization thumbnail
AP STATISTICS

Simpson's Paradox Visualizer

Examine confounding variables dynamically. Toggle between global and clustered regression data to observe mathematical trends magically reverse polarity (Pearson r) when separated.

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.

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.

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)

Dual-canvas integration rendering Central Limit Theorem convergence. Draws random Monte Carlo datasets mapping sample size variance crushing ($n \geq 30$ rule) converting arbitrary shapes (skewed/bimodal) into stable Gaussian sample-mean distributions.

Hypothesis Testing Rules visualization thumbnail
AP STATISTICS

Hypothesis Testing Rules

Inferential hypothesis engine animating null model rejection thresholds vs interactive sample observed P-Value tails. Illuminates the deterministic binary conclusion states driven by fixed Alpha lines mapping Type I geometric error bounds visually.

AP STATISTICS

ANOVA Variance Analysis

Interactive ANOVA interaction plotting $MS_{bet}$ vs $MS_{wit}$ signal-to-noise calculations natively. Combines adjustable uniform variance blocks mathematically linking structural layout changes actively to precise numerical F-Distribution test thresholds.

Type I & II Errors & Power visualization thumbnail
AP STATISTICS

Type I & II Errors & Power

Interactive structural dual-distribution rendering plotting absolute hypothesis decision bounds. Animates the zero-sum mathematical see-saw between Alpha (Type I) restrictions severely punishing statistical Power translating into elevated Type II failures explicitly under sample size constrictions.