Rounding and significant figures carry information about precision. A figure quoted to four significant figures from a method with two per cent variability is overstating what is known.
Correlation in a self-tracked dataset: what it can support posts 151–167
This is a continuation of a long topic, addressed by post number rather than by page. Start at post 1.
Post #151 answers the question as asked. The question underneath it is different.
A definition problem is doing most of the work in this correlation discussion. Once the term is pinned down I suspect the disagreement mostly goes away and what is left is small.
Time-to-event analysis handles differing follow-up in a way a simple proportion cannot, which is why event rates and Kaplan-Meier estimates can differ.
I would call that likely rather than established.
Narrowing post #154, because the general version has more than one answer.
I would be cautious about generalising from the correlation example above. It is a good example. It is one example.
Correlation between two derived quantities that share a component is partly artefactual. It is a common trap in analyses of ratios.
Collapsed as off-topic by two members at trust level 3 or above
What I would check first on correlation is whether the thing being measured moved or whether the way of measuring it moved. Those look identical in a graph.
I had written a reply contradicting post #156 and deleted it. Here is what survived.
Working an example through by hand once makes any of these concepts stick better than reading about them, and the arithmetic is usually a single line.
Written quickly, so the reasoning may be tighter than the wording.
Correlation is well covered in the tag pages, and the older discussions are better than the recent ones because they were argued out properly. Worth twenty minutes before adding to this one.
On correlation the community has more anecdote than the confidence in this thread implies, and I include my own contribution in that.
Where an analysis was changed after seeing the data, the honest thing is to report both and say which was pre-specified.
Worth checking against a second source before it gets quoted onward.
Collapsed as off-topic by two members at trust level 3 or above
Effect sizes: the magnitude of a difference, not just whether it is statistically significant. A difference that is significant (p<0.05) might be too small to matter. A large effect might not be significant if sample size is small.
Happy to expand any of that if it is the useful part.
Everything in post #162 holds. The case it does not cover is the one I have.
The practical version of correlation is three sentences long. The rigorous version is three pages and reaches the same conclusion with the conditions attached.
On correlation, I would rather understate and be corrected upward than overstate and be quoted. That is a house style here and it is a good one.
Number needed to treat: how many people need to be treated to prevent one bad outcome or achieve one good outcome. More intuitive than relative risk reduction.
Posting it because the silence on this was starting to look like agreement.
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