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Visual Guides/Hypothesis Testing
STATISTICS

Hypothesis Testing: A Visual Experiment

Design A/B tests. Run 1000 experiments. Watch the confusion matrix tally true/false positives. See how power, Type I, and Type II error emerge from the math in real time.

Experiments run: 0
Scenarios explored: 0/3

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Experiment Design

Effect Size (Cohen's d)0.5
No effect (null true)Large
0Small 0.2Medium 0.5Large 0.8+2.0

Medium effect: Medium real effect. Standard sample sizes can detect this with decent power.

Sample Size (n per group)50
10500
Significance Level (α)0.05
0.01 (strict)0.20 (lenient)
H₀:μ₁ = μ₂ (no effect)
H₁:μ₁ ≠ μ₂ (two-tailed)
True state:H₁ true (effect exists)
Reject if p <0.05

Data Groups

Preview (deterministic)
Group A (Control)Group B (Treatment)-2.4-1.10.21.62.9x̄=0.32x̄=0.52Δ=0.21n=50n=50
Group A: mean=0
Group B: mean=0.5
Group mean

Confusion Matrix

0 total

Effect Exists

(H₁ true)

No Effect

(H₀ true)

Test
Rejects H₀

True Positive

Correct rejection

0

0% of all experiments

False Positive

Type I Error

α

0

0% of all experiments

Fails to
Reject H₀

False Negative

Type II Error

β

0

0% of all experiments

True Negative

Correct retention

0

0% of all experiments

Type I Rate

—

FP / (FP+TN)

Type II Rate

—

FN / (FN+TP)

Power (1−β)

—

TP / (TP+FN)

Running Summary

Current Parameters

Effect size (d)0.5
Sample size (n)50
Alpha (α)0.05
Experiments run0
Scenarios explored0

Obs. Type I

—

Obs. Type II

—

Obs. Power

—

Insight

Run more experiments to see patterns emerge. Try at least 10 to get a sense of the randomness in hypothesis testing.

Run 100+ experiments and explore 3+ scenarios to complete this guide

← Sample Size, Margin of Error & Survey DesignP-Values Demystified →