Likelihood Ratio Test For Discrete Classes

See Liu, Statistical Genomics: Linkage, Mapping, and QTL Analysis. pgs 99-100.

"The ratio between the likelihood of Q taking a value QA, which maximizes the likelihood, e.g. a maximum likelihood estimator and the likelihood of Q under the null hypothesis Q_N, e.g. Q_N = 0.5 is:

    L(Q_A/X)  "
    L(Q_N/X)

Likelihood ratio test statistic = G
=

G has an appropriate X² distribution.