Significance of numbers has little to do with the difference.
0.00000001% can be significant so long as the sample size be large enough.
It simply means it's unlikely that the numbers are caused by a statistical fluke and expected to show up again in a reproductive attempt.
Of course significant numbers are very often not reproduced, both due to that the publishing industry selects upon creating this result and because the mathematical principles that compute significance are simply abused, both willfully, and due to lack of understanding of the assumptions behind it.
You are confusing statistical significance with practical significance. A difference of 0.00000001% can be statistically significant with enough data, but it will never be practically significant.
And what exactly would be the meaning of the word “practical significance” then? what exactly would it signify?
Because honestly; I feel this secondary meaning is a buzzword transferred from the first meaning which actually has meaning, but in the secondary case it's simply used to use an expensive word without understanding it.
Significance was a word before statistics used it to define one of their concepts. Just because a field takes a word people used in everyday contexts and used it to define something doesn't mean that the everyday meaning disappears.
Edit: Another example is significant digits. Significant digits is a much older concept than significance in statistics, and maps much better to the original meaning of significance. Basically significant things are things you can't ignore when you do your analysis.
> Significance was a word before statistics used it to define one of their concepts. Just because a field takes a word people used in everyday contexts and used it to define something doesn't mean that the everyday meaning disappears.
That doesn't answer what I asked: what exactly is the meaning here because I remain unconvinced that it's not simply an empty buzzword inserted that transferred from it's usage of statistics, especially when used in conjunction with percentages.
> Edit: Another example is significant digits. Significant digits is a much older concept than significance in statistics, and maps much better to the original meaning of significance. Basically significant things are things you can't ignore when you do your analysis.
Indeed, and that has a meaning that I understand which is also morphologically transparent, but in this supposed meaning of the word which you've to elaborate upon it is neither morphologically transparent, nor do I actually see any meaning in it and I still feel it's used as a buzzword to simply make use of a fancy word for it's own sake.
0.00000001% can be significant so long as the sample size be large enough.
It simply means it's unlikely that the numbers are caused by a statistical fluke and expected to show up again in a reproductive attempt.
Of course significant numbers are very often not reproduced, both due to that the publishing industry selects upon creating this result and because the mathematical principles that compute significance are simply abused, both willfully, and due to lack of understanding of the assumptions behind it.