Degrees of Freedom

#statistics #math #theory #bias

  • Variance formula: \(s^2 = \frac{1}{n-1} \sum_{i=1}^{n} (x_i - \overline{x})^2\)
  • The formula above has \(\frac{1}{n-1}\) which means degrees of freedom.
  • Degrees of freedom given a unbiased estimative of the variance and standard deviation
    • standard deviation: \(sd = \sqrt{variance}\)

References

  • Bruce, 2017, p215
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#statistics #math #theory #bias