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One should note that this comment was taken from an article critical of
significance testing. I understand Sterne and Smith's comment to
characterize a point of view which they do not support, but which they
project onto consumers of statistics. (I think they could have been a
bit clearer about their own point of view, but this is how I read the
statement in the context of what follows.)
Generally, statisticians with a background in theory of inference will
agree with the general thrust of the article: Significance tests are
often performed and reported and interpreted in a mechanical way which
may be misleading. The suggested guidelines (which suggest against use
of the phrase "statistically significant" without further qualification)
will generate considerable support among those who have studied the
theories of frequentist and Bayesian inference. The only support for the
significance test is in the use of the P-level as an index to the
strength of the evidence. Personally, I would qualify that with the
standard "Other things being equal...".
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