He gave us a very simple explaination that:

Standard deviation: asymptotically, this estimate will be sigma.

Standard error: asymptotically, this estimate will go to zero (as n is in the denominator of the formula, and as it goes to infinity, SE goes to 0).

This seems to be an obvious answer once we look at the formulas of the two estimates. Nonetheless, Andy said that he sometimes uses them interchangeably.

## 3 comments:

Well, for what condition, they can use interchangeably?

Actually I would like to know the difference between" sample standard deviation" and "sample standard error" what you show above is basically the "population standard deviation" against" sample standard error"

Standard Deviation

Standard Deviation Calculator

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