Sentence examples for because the likelihood ratio from inspiring English sources

Because the likelihood ratio test (LRT) of H0:θ1="θ2="⋯="θp versus H1 H0 with H1:θi⩾0 for i= 1,2,…,p is complicated, several ad hoc tests have been proposed.

However, the UMP test does not exist in this case because the likelihood ratio between the pair of observations depends on which one of the four different sensor-output combinations was received at the fusion center.

Because the likelihood ratio test failed to reject the molecular clock assumption for the two groups of sequences, the program mcmctree of PAML 4.1 [65] was used to estimate divergence times.

The significances of the main effects and interaction effects were tested using F-statistics because the likelihood ratio test could not be used in the quasibinomial GLM.

In the GLMM, the Wald statistics are recommended to test the null hypothesis of fixed effects because the likelihood ratio tests are unreliable for small to moderate sample sizes [ 8- 10].

In such a situation, a statistical test of the occurrence of human-to-human transmission is still meaningful because the likelihood ratio test statistic is still estimable from the permuted datasets.

Without the conditional independence assumption there is no guarantee that optimal decision rules can be derived in terms of thresholds for the likelihood ratio because the optimal solution is mathematically intractable (NP-hard) [21].

This test was chosen in place of the likelihood ratio test because it imposes a penalty for model complexity resulting in models with better predictive accuracy [28].

Because of the unknown distribution of the likelihood ratio test statistic, it is difficult to derive an analytical solution of the threshold.

The final model was kept because of its ability to best predict the outcome, maximizing the likelihood ratio.

Because each random scattering is independent from the other scatterings, the likelihood ratio of each photon packet is equal to the product of all the likelihood ratios of all the biased scatterings of that photon packet.