Sampling Distribution

#theory #math #statistics #distributions #sampling #normaldistribution

  • 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
  • It is bell-shaped
  • Variability error on the sampling distribution: SE=\(\frac{S}{\sqrt{n}}\)
    • To compute SE can be expensive, for that, we use Bootstrap
      • Bigger samples give less SE
      • It is different from standard deviation

References

  • Bruce, 2017, p57-61
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#theory #math #statistics #distributions #sampling #normaldistribution