Teacher:In this task, you are given a part of an article. Your task is to generate headline (title) for this text. Preferred headlines are under fifteen words.
Teacher: Now, understand the problem? Solve this instance: Several authors have explained that the like lihood ratio measures the strength of the evi dence represented by observations in statisti cal problems. This idea works fine when the goal is to evaluate the strength of the avail able evidence for a simple hypothesis versus another simple hypothesis. However, the ap plicability of this idea is limited to simple hypotheses because the likelihood function is primarily defined on points simple hy potheses of the parameter space. In this paper we define a general weight of evidence that is applicable to both simple and compos ite hypotheses. It is based on the Dempster Shafer concept of plausibility and is shown to be a generalization of the likelihood ratio. Functional models are of a fundamental im portance for the general weight of evidence proposed in this paper. The relevant con cepts and ideas are explained by means of a familiar urn problem and the general analysis of a real-world medical problem is presented.
Student:
From Likelihood to Plausibility