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Mysteries of broken A/B tests and statistical significance with rare events

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Jason Cohen


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Our analysis suggests that the Video is not clickbait because it thoroughly addresses the mysteries of broken A/B tests and statistical significance with rare events.

1-Sentence-Summary

The video "Mysteries of broken A/B tests and statistical significance with rare events" by Jason Cohen reveals how flawed A/B testing methods, especially with rare events, can lead to misleading conclusions, emphasizing the need for precise testing techniques and accurate formulas to determine statistical significance.

Favorite Quote from the Author

If you're trying to measure a tiny effect. A rare event. You need a test that's far more accurate than you might think. Otherwise, the error will swamp the signal and all you're looking at is noise.

💨 tl;dr

Misunderstanding A/B testing can waste time and lead to false conclusions, especially with rare events. High accuracy is crucial, as even a 95% rate can yield 50% false results. Proper statistical methods and careful analysis are essential to avoid rushing to incorrect interpretations.

💡 Key Ideas

  • Misunderstanding A/B testing can lead to wasted time and misleading conclusions, as seen in the example of an A/A test mistaken for an A/B test.
  • Rare events in A/B testing require high accuracy; a 95% accuracy rate can still result in 50% false conclusions about events like cheating.
  • Small effects necessitate highly accurate tests to avoid being drowned out by noise; 85% accuracy isn’t enough for reliable results.
  • Statistical significance should be calculated correctly by comparing conversion differences to total conversions to avoid misinterpretation.
  • Proper mathematical understanding is crucial to prevent unnecessary delays and guide effective decision-making in A/B testing.

🎓 Lessons Learnt

  • Be cautious with rare signals in A/B tests. Even a seemingly accurate test can mislead when measuring infrequent events that resemble noise.

  • Use reliable formulas for statistical significance. Don’t just trust A/B testing software; apply a simple formula to verify if differences are genuinely significant.

  • Avoid rushing to conclusions. Immediate interpretations can lead to errors; take the time to analyze results properly to prevent wasted efforts on inconclusive data.

  • Consider drastic changes if small tweaks fail. If minor adjustments aren’t working, it might be time to implement larger changes for better results.

  • Precision is key for tiny effects. When measuring small impacts or rare events, ensure your test has the accuracy needed to distinguish the signal from the noise.

🌚 Conclusion

Be cautious with rare signals, use reliable formulas for significance, and don't rush conclusions. If small tweaks fail, consider bigger changes. Precision is vital for detecting tiny effects.

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In-Depth

Worried about missing something? This section includes all the Key Ideas and Lessons Learnt from the Video. We've ensured nothing is skipped or missed.

All Key Ideas

A/B Testing Misconceptions

  • A founder believes they've wasted a year on A/B testing because their conversion rate hasn't improved despite running tests.
  • The A/B test they conducted was actually an A/A test, comparing identical variants, leading to a misleading conclusion of statistical significance.
  • The story of a race director testing athletes illustrates how a seemingly accurate test can produce incorrect conclusions about performance due to misunderstanding statistics.
  • The race director's assumption that 10 athletes failed the drug test (and thus are cheaters) is flawed because the test's accuracy can lead to false positives among clean athletes.

A/B Testing Insights

  • The test has 95% accuracy, but only 50% of those who failed were actually cheating, highlighting the issue of rare signals.
  • The signal being measured is rare, occurring only 5% of the time, which results in error being as large as the signal.
  • In A/A tests, if the effect measured is very small, the test must be extremely accurate; 85% accuracy is not sufficient.
  • The formula for determining statistical significance involves comparing the squared difference of conversions to the total conversions.
  • Misinterpretation of A/A test results can lead to unnecessary delays in understanding true outcomes.
  • Using correct math can prevent misleading conclusions and guide better decision-making in A/B testing.

Measurement and Accuracy

  • If you're trying to measure a tiny effect or a rare event, you need a test that's far more accurate than you might think.
  • Otherwise, the error will swamp the signal, and all you're looking at is noise.

All Lessons Learnt

Lessons Learned from A/B Testing

  • Running A/A tests can lead to false conclusions about software performance.
  • Statistical accuracy does not guarantee correct interpretations.
  • Understanding the context of data is crucial to avoid mistakes.

A/B Testing Guidelines

  • Be cautious with A/B test results when measuring rare signals. Even a 95% accurate test can lead to misleading conclusions if the signal is rare and similar in size to the error.
  • Use a reliable formula to determine statistical significance. Instead of relying solely on A/B testing software, apply a simple formula to check if the difference between variants is statistically significant.
  • Don’t rush to conclusions based on initial results. Properly interpreting the results early on can save time and prevent waiting for inconclusive results later.
  • If incremental changes aren’t working, consider drastic changes. Recognizing that small adjustments may not yield improvements can guide you to implement more significant changes for better outcomes.

Importance of Precision in Testing

  • If you're trying to measure a tiny effect or a rare event, you need a test that's far more accurate than you might think. This emphasizes the importance of precision in testing to avoid misleading results.
  • Otherwise, the error will swamp the signal and all you're looking at is noise. This highlights the risk of misinterpretation when dealing with unreliable data.

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