#theory #math #statistics #distributions #sampling #normaldistribution
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It is the distribution of sample statistic like mean for example
- Sample 5 numbers from data and calculate the mean is an example of sample statistic
- Sample 20 numbers from data and calculate the mean is another example
- Make it multiple times and, you have the sampling distribution
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It is bell-shaped
- This phenomenon is called Central Limit Theorem
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Variability error on the sampling distribution: SE=\(\frac{S}{\sqrt{n}}\)
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To compute SE can be expensive, for that, we use Bootstrap
- Bigger samples give less SE
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It is different from
standard deviation
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To compute SE can be expensive, for that, we use Bootstrap
References
- Bruce, 2017, p57-61