All Pairwise Comparisons among Means: Recapitulation and Recommendations (3 of 3)

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If the null hypothesis were accepted for the two nonsignificant comparisons, you would conclude that:
  1. µ1 ≠ µ3
  2. µ1 = µ2 and
  3. µ2 = µ3
which is clearly not possible. The proper conclusion is that either µ1 ≠ µ2, µ2 ≠ µ3 or neither µ1 nor µ3 is equal to μ2. More data are needed to decide among these three alternatives.


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