Likelihood ratio test

A likelihood-ratio test is a statistical test in which a ratio is computed between the maximum  probability of a result under two different hypotheses, so that statisticians can make a decision between two hypotheses based on the value of this ratio.The numerator corresponds to the maximum probability of an observed result under the null hypothesis. The denominator corresponds to the maximum probability of an observed result under the alternative hypothesis. Under certain regularity conditions, the numerator of this ratio is less than the denominator. The likelihood ratio under those conditions is between 0 and 1. Lower values of the likelihood ratio mean that the observed result was less likely to occur under the null hypothesis. Higher values mean that the observed result was more likely to occur under the null hypothesis.
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