# Likelihood Ratio Tests - Missouri State University

**likelihood** ratio test is based on the **likelihood** function fn(X¡1;¢¢¢;Xnjµ), and the intuition that the **likelihood** function tends to be highest near the true value of µ. Indeed, this is also the foundation for maximum **likelihood estimation**. We will start from a very simple example. 1 The Simplest Case: Simple Hypotheses

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