What is the difference between frequentist and Bayesian statistics?

  • Bayesians use Bayes' theorem, frequentists do not
  • Frequentists believe in probability and Bayesians do not
  • Frequentists interpret probability as a long-run frequency, Bayesians as a degree of belief
  • There is no difference
Frequentist statistics interprets probability as the long-run frequency of events, whereas Bayesian statistics interprets probability as a degree of belief or as subjective probability. The Bayesian approach uses Bayes' theorem to update probabilities based on new data.
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