arc/notes
1
0
Fork 0
Code Issues Pull Requests Actions Packages Projects Releases Wiki Activity

vault backup: 2024-01-29 14:32:58

Browse Source
This commit is contained in:
zleyyij 2024-01-29 14:32:58 -07:00
parent e3400a614b
commit ff47c2eeaa
1 changed files with 5 additions and 1 deletions
Show Stats Download Patch File Download Diff File Expand all files Collapse all files

6
education/statistics/Sampling.md
View File

@ -73,6 +73,7 @@ Remember that the *parameter* is the *number* that actually describes the popula
For any unknown average, the probability histogram of the sample averages will be shaped like the normal curve and centered at the true average with a standard deviation equal to $SE_{ave}$. For any unknown average, the probability histogram of the sample averages will be shaped like the normal curve and centered at the true average with a standard deviation equal to $SE_{ave}$.
$$ sample_{ave} \pm 2 * SE_{ave} $$ $$ sample_{ave} \pm 2 * SE_{ave} $$
If solving for a specific interval, substitute $2$ for your $z$ value.
This equation should be a review: This equation should be a review:
$$ SE_{ave} = \frac{SD}{\sqrt{size\space samp}} $$ $$ SE_{ave} = \frac{SD}{\sqrt{size\space samp}} $$
The above equation will give you an interval that you can be 95% confident that the true random will be within that point. The above equation will give you an interval that you can be 95% confident that the true random will be within that point.
@ -82,4 +83,7 @@ The above equation will give you an interval that you can be 95% confident that
A confidence interval is only valid if the sample is not a simple random sample. A confidence interval is only valid if the sample is not a simple random sample.
If we're using two standard deviations, the below statement can be used: If we're using two standard deviations, the below statement can be used:
"We can be 95% confident that the interval \[we have constructed] contains the true average \[thing being measured]." "We can be 95% confident that the interval \[we have constructed] contains the true average \[thing being measured]."
## Margin of Error
The margin of error is $sample_{ave} \pm z* SE_{ave}$. As we increase the confide