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Statistical significance and p-values:

We often rely on conventional thresholds of statistical significance. We calculate that p<.05, so statistically significant, right?

However, here are a few things to at least consider first.

Thread.
● If you do multiple hypothesis tests, then by chance you're more likely to find some p-values below any threshold, even if the null hypothesis is true.

A team showed, if no corrections for false discovery rate, a dead salmon showed significant brain signal measured by fMRI!
● If you have very much statistical power, it turns out that p-values such as 0.04 are, perhaps surprisingly, more likely under the null hypothesis.

Hence some have suggested that you should lower the significance threshold as sample size increases.

daniellakens.blogspot.com/2018/12/testin…
● In practice, interaction effects need much more stringent significance thresholds to replicate.

You need 16 times the sample size to estimate an interaction effect:
statmodeling.stat.columbia.edu/2018/03/15/nee…

Empirically, interactions rarely replicate:
rpubs.com/Jonatan/intera…
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