What does "alpha" mean?
Definition of alpha in the context of A/B testing (online controlled experiments).
What is alpha?
The greek leter alpha (α) is most-often used to denote the pre-test significance threshold deemed acceptable for the test at hand.
In proper notation α = P(d(X) > c(α); H0) where H0 stands for the null hypothesis of interest, c(α) is the significance threshold and d(X) is a test statistic (distance function).
In case the significance level after the test is complete is equal to α the two coincide. In case the observed significance (p) is different, the test can be interpreted as rejecting the null hypothesis at all levels α for which p < α.
The error rates alpha (α) and beta (β) are inversely related: increasing one decreases the other, assuming fixed variance, sample size and minimum effect of interest.
Like this glossary entry? For an in-depth and comprehensive reading on A/B testing stats, check out the book "Statistical Methods in Online A/B Testing" by the author of this glossary, Georgi Georgiev.
Articles on alpha
Statistical Significance in A/B Testing – a Complete Guide
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Related A/B Testing terms
Statistical SignificanceType I ErrorSignificance LevelSee this in action
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Statistical Methods in Online A/B Testing
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