Frequentist Inference uses the likelihood function to infer the values of parameters. Like Inferential Statistics Forms, Frequentist Inference has 3 forms:
- Frequentist Point Estimation - e.g. MLE
- Frequentist Interval Estimation - e.g. Confidence Interval (CI)
- Frequentist Hypothesis Testing -
P-Values & Confidence Intervals
Frequentists don’t treat the uncertainty in the true parameter value probabilistically (Bayesians do). However, that doesn’t magically eliminate uncertainty. The maximum likelihood estimate could still be wrong and, in fact, most of the time it is wrong! When you assume that a particular estimate is the correct one, but in reality it isn’t, you will make an error. Consequently, this has led to the development of two mathematical techniques for quantifying and limiting long-term error rates: