I have now published a full article at
Sportscience
with the title "Misleading Conclusions Based on
Statistical Significance and Non-significance at a Recent
International
Conference". The conference was last year's virtual annual meeting of
the European College of Sport Science, and the article represents an
analysis of the first 33 presentations in my report on the conference in
last year's issue of Sportscience.
The article
features four figures that show
quite nicely
how hypothesis tests of non-substantial and substantial magnitudes work,
and how magnitude-based decisions (MBD) correspond to such tests. MBD
also has a purely Bayesian basis and interpretation, which I prefer to
the hypothesis tests.
The conclusion? "There was an unacceptably high prevalence of misleading assessments of
magnitude based on statistical significance and non-significance at this
conference. Researchers should account for sampling variation by replacing
the nil-hypothesis test with tests of substantial and non-substantial
magnitudes, including magnitude-based decisions."
If you can't see the new homepage with a link to the article, Shift-refresh or click on this link:
https://sportsci.org/2021.
Will