The Relation Among the Likelihood Ratio-, Wald-, and Lagrange Multiplier Tests and Their Applicability to Small Samples

The Relation Among the Likelihood Ratio-, Wald-, and Lagrange Multiplier Tests and Their Applicability to Small Samples

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This paper shows that in a regression model with linear constraints the Likelihood Ratio (LR) test, the Lagrange Multiplier (LM) test, and the Wald (W) test are all monotonic transformations of the same test.