Timeline for As sample size increases, why does the standard deviation of results get smaller? Can someone please provide a laymen example and explain why
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| Mar 21, 2018 at 21:56 | answer | added | Aksakal | timeline score: 4 | |
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| Apr 23, 2017 at 17:05 | history | edited | kjetil b halvorsen♦ | CC BY-SA 3.0 |
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| Mar 21, 2017 at 13:15 | comment | added | davches | Yes, I must have meant standard error instead. Why does the sample error of the mean decrease? Can you please provide some simple, non-abstract math to visually show why. Why do we get 'more certain' where the mean is as sample size increases (in my case, results actually being a closer representation to an 80% win-rate) how does this occur? | |
| Mar 20, 2017 at 23:33 | comment | added | Glen | The standard deviation doesn't necessarily decrease as the sample size get larger. The standard error of the mean does however, maybe that's what you're referencing, in that case we are more certain where the mean is when the sample size increases. | |
| Mar 20, 2017 at 22:45 | comment | added | Glen_b | "The standard deviation of results" is ambiguous (what results??) -- and so the very general statement in the title is strictly untrue (obvious counterexamples exist; it's only sometimes true). It might be better to specify a particular example (such as the sampling distribution of sample means, which does have the property that the standard deviation decreases as sample size increases). | |
| Mar 20, 2017 at 22:00 | answer | added | DHW | timeline score: 2 | |
| Mar 20, 2017 at 21:28 | review | Close votes | |||
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| Mar 20, 2017 at 21:10 | comment | added | Sycorax♦ | Possible duplicate of What intuitive explanation is there for the central limit theorem? | |
| Mar 20, 2017 at 21:08 | history | asked | davches | CC BY-SA 3.0 |