Econometrics Question:
Explain the differences between the Wald, likelihood ratio and
Lagrange Multiplier approaches to hypothesis testing.
Wald - Wald is an approach which includes one model and the comparisons and estimations around it. It involves testing the null hypothesis of the model in question.
Likelihood ratio - A likelihood ratio is an approach which involves/includes comparisons and estimations around two statistical models. This essentially is a comparison of the fit of one model to that of another's. It includes finding out the log likelihoods of both the models.
Lagrange Multiplier - The Lagrange Multiplier approach also involves only one model like the Wald approach. Here the estimations are done on the basis of calculating the slope of the likelihood function.
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