The best replacement for statistical significance is clinical significance.


The best alternatives to statistical significance are rated as following:
★★★★★  clinical significance
★★★★  practical significance
★★★  effect size
★  economic significance
★  practical importance
★  practical
★  social significance
★  substantive significance
★  meaningful significance
★  meaningfulness
★  clinical relevance
★  real world significance
  biological significance
  clinical
  confidence intervals
  confidence level

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Speaking about statistical significance, one probably shouldn't forget about p values.

Other search terms related to statistical significance and their ratings are:

★★★★★ p values
clinical significance
practical significance
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statistical significance
clinical significance
practical significance