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Addressing that first point is "The Difference Between 'Significant' and 'Not Significant' is not Itself Statistically Significant" by Andrew Gelman and Hal Ste

• stdbrouw 12y ago
  Nitpick: while that paper does mention the basic idea that there's no significant difference between 0.051 and 0.049, it's more about another common mistake: testing the difference between two groups by performing two separate statistical tests and then comparing the outcomes (a <> b), rather than the correct approach which is to do a single test for the difference between groups (a - b <> 0).