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I have read the following on many websites:

What can you conclude when standard error bars do not overlap?

When standard error (SE) bars do not overlap, you cannot be sure that the difference between two means is statistically significant.

What can you conclude when standard error bars do overlap?

When SE bars overlap, you can be sure the difference between the two means is not statistically significant (P>0.05).

I am wondering if this is true for both paired and independent samples t-tests, whether SE are computed on difference scores or for each condition separately.

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