9 Likelihood

Likelihood

What is the difference between probability and likelihood?

The likelihood of a hypothesis (H) after doing an experiment or gathering data (D) is the probability of the data given the hypothesis.

Within the framework of a statistical Within the framework of a statistical model, a particular set of data supports one model, a particular set of data supports one statistical hypothesis better than another if statistical hypothesis better than another if the likelihood of the first hypothesis on the the likelihood of the first hypothesis on the data exceeds the likelihood of the second data exceeds the likelihood of the second hypothesis