The Likelihood Ratio Test (LRT) approach reasons as follows.
1) Suppose that H0 is true : the distribution that generated the sample belongs indeed to H0.
Tests for the significance of the effects in the model can be performed via the Wald statistic, the likelihood ratio (LR), or score statistic. Detailed descriptions of these tests can be found in McCullagh and Nelder (1989). The Wald statistic (e.
Verify that the contribution of the attribute has statistical significance using the likelihood ratio test.
Split any node in the previous layer if the contribution of the current attribute has statistical significance.
 See also: Likelihood, Distribution, Variance, ANOVA, Normal distribution
  
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