I second this question. Intuitively, your argument makes sense and you have something here.
But I would have more confidence in the conclusion if a False Discovery Rate correction was applied. This is also called a Benjamini-Hochberg procedure (https://en.wikipedia.org/wiki/False_discovery_rate#Controlling_procedures).
In R, the stats package makes it very easy to apply the false discovery rate correction to your statistics—see https://stat.ethz.ch/R-manual/R-devel/library/stats/html/p.adjust.html. You would do something like
p.adjust(p, method = “fdr”, n = length(p))
where p is a vector/list of all 55 of your uncorrected p-values from your t-tests.
I second this question. Intuitively, your argument makes sense and you have something here.
But I would have more confidence in the conclusion if a False Discovery Rate correction was applied. This is also called a Benjamini-Hochberg procedure (https://en.wikipedia.org/wiki/False_discovery_rate#Controlling_procedures).
In R, the stats package makes it very easy to apply the false discovery rate correction to your statistics—see https://stat.ethz.ch/R-manual/R-devel/library/stats/html/p.adjust.html. You would do something like
where p is a vector/list of all 55 of your uncorrected p-values from your t-tests.