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Why Your Correlation Matrix Lies About Non-Linear Data: The 3-Statistic Trap

Posted by By xiezixing 2026年7月21日
What if the spreadsheet that tells you two stocks "strongly correlate" is actually measuring a…
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The R-Squared Trap: Why Your Best-Fit Line Can Quietly Lie to You

Posted by By xiezixing 2026年7月17日
A high R-squared feels like a verdict. The number comes back at 0.92, the slope…
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Before You Delete an Outlier - six question data cleaning protocol
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Before You Delete an Outlier: A 6-Question Data Cleaning Protocol

Posted by By xiezixing 2026年7月17日
A practical protocol for detecting, marking, and processing extreme values without deleting useful evidence.
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A/B Test Significance Calculator poster
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The A/B Test Verdict: When “Significant” Isn’t the Whole Story

Posted by By xiezixing 2026年7月15日
A single p-value is not a decision. Here are the three numbers — p-value, lift, confidence interval — that turn a dashboard spike into a verdict you can defend, plus how Bonferroni and sequential-testing corrections keep multiple A/B tests honest.
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Dice Probability Calculator cover with title and stats row
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Why Dice Probability Doesn’t Behave the Way Your Gut Says

Posted by By xiezixing 2026年7月14日
Two six-sided dice have 36 ordered outcomes. Sum 7 hits 1/6 of the time. The triangular histogram is your mental model for craps, Yahtzee, Catan robber rolls, and every D&D attack roll.
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Adjusted R-Squared Calculator — Why R² Lies When You Add Predictors
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Why R-Squared Lies to You When You Add Predictors

Posted by By xiezixing 2026年7月13日
Adjusted R-squared is the correction that penalizes each new variable for not pulling its weight. Use it to compare nested models instead of chasing raw R².
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Regression Analyzer — R-Squared Will Lie to You cover image
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R-Squared Will Lie to You: A Field Guide to Reading Regression Output

Posted by By xiezixing 2026年7月10日
Five numbers matter more than R-squared — and in this order. Why held-out validation, residual plots, and prediction intervals beat the headline score every time, and a practical workflow for shipping models that survive production.
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Central Limit Theorem Demonstrator cover — Watch the bell curve emerge from any source distribution
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Watch the Bell Curve Emerge from Anything: Inside the Central Limit Theorem Demonstrator

Posted by By xiezixing 2026年7月6日
An interactive visual proof that the distribution of sample means converges to a Normal bell curve regardless of source distribution, plus four controls and four source distributions you can dial in.
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Binomial Distribution Calculator cover image showing probability formulas
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The Three Probabilities You Keep Mixing Up: A Binomial Distribution Calculator Walkthrough

Posted by By xiezixing 2026年7月4日
How exact, at-most, and at-least probabilities differ for the same inputs, and the calculator that returns all three plus the moments in one request.
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The R-squared number your regression tool hands you is not the answer
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The R-squared number your regression tool hands you is not the answer

Posted by By xiezixing 2026年6月30日
You ran a regression. The tool handed back a tidy block of numbers: a slope,…
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