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education/statistics/Sampling.md
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@ -53,7 +53,13 @@ If asked if an observed % is reasonable, you can calculate the z score, and if t
## Sampling Distributions ## Sampling Distributions
(Ch 23, stat 1040) (Ch 23, stat 1040)
Take a sample, find the average, plot it and repeat. After many many samples, the empirical probability histogram for sample averages Take a sample, find the average, plot it and repeat. After many many samples, the *observed* probability histogram for sample averages looks like the *predicted* probability histogram.
looks like the theoretical probability
histogram.
As with $SE_\%$, as the sample size increase, the standard error decreases.
The central limit theorem still applies here, so the probability histogram for the average of the draws *follows the normal curve* with a large number of draws, even if the contents of the box do not.
| Term | Definition |
| ---- | ---- |
| $EV_{ave}$ | The expected value for the average |
| $SE_{ave}$ | The standard error |