Data visualization screen showing COVID-19 pandemic statistics and geographic spread.

data science / statistics / probability

Mean Methods.

The mean is lying to you

n = 6 | p < 0.05 | σ ≠ 0

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statistics data science regression

Measurement Invariance: Why You Can't Compare Groups Until You Prove Your Scale Works the Same Way

Measurement invariance is the silent assumption breaking your group comparisons. Here's what it means, why it fails, and how to test for it.

C. Pearson

· August 10, 2026 · 5 min read

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statistics hypothesis-testing

Null Hypothesis Significance Testing: The Framework That Answers a Question Nobody Asked

NHST tells you how surprising your data is if nothing is happening, not whether your hypothesis is true. Here's why that gap destroys research.

C. Pearson

· August 3, 2026 · 4 min read

probability cognitive-bias

The Hot Hand Fallacy: Why Streaks Are Random and Your Brain Refuses to Accept It

The hot hand fallacy makes you see skill and momentum in random sequences. Here's what the data actually shows about streaks.

C. Pearson

· July 27, 2026 · 4 min read

probability cognitive bias

The Monty Hall Problem: Why Switching Doors Is Mathematically Obvious (and Psychologically Impossible)

The Monty Hall problem has stumped mathematicians, PhDs, and game show contestants for decades. Here's why your intuition gets it wrong every single time.

C. Pearson

· July 20, 2026 · 4 min read

statistics bias

Berkson's Paradox: Why Hospital Data Makes Healthy Smokers Look Fine

Berkson's paradox shows how selecting data from a biased pool can flip real-world correlations, and why your dataset's origin story matters as much as its contents.

C. Pearson

· July 13, 2026 · 4 min read

probability simulation

Lehmer's Trap: Why Random Number Generators Aren't Actually Random

Pseudorandom number generators follow deterministic rules, and that hidden structure can silently corrupt simulations, models, and statistical tests.

C. Pearson

· July 9, 2026 · 1 min read

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