Sentence examples for by applying the likelihood from inspiring English sources

Check to see if the addition of a gaussian line to the null power-law model is significant, by applying the likelihood ratio test to compare a power-law (p1) with a power-law plus a line (p1+g1).

Model improvement was tested by applying the likelihood ratio test where p < 0.05 indicated a model improvement.

The European brown hare time series were tested for non-linearity in X (t) vs. X (t-1) by applying the likelihood ratio test [ 50].

They were deleted from the final model by applying the likelihood ratio test where χ = 3.81, 2df, p = 0.15 for the test to retain both PCB 105 and PCB 118 in the model.

The analysis was carried out by applying the generalized likelihood uncertainty estimation (GLUE) procedure when simulating laboratory measurements of freezing cylinders and by a more conventional sensitivity analysis, varying one parameter at a time, using road surface temperatures measured during nearly 1 year as upper boundary condition.

Due to transaxial MR field-of-view truncation, attenuation of the arms was estimated using PET emission data by applying the maximum likelihood reconstruction of activity and attenuation algorithm (MLAA).

(b) The obtained standardized residuals (filtered data) are then used to calculate the respective empirical distribution functions, creating this way the copula data (c) The estimation of copula models is conducted by applying the maximum likelihood (ML) estimator to the copula data (Canonical ML).

The estimation accuracy is further increased by applying the Maximum Likelihood Estimation (MLE) in spite of the Least Square (LS) method [17].

The four path analysis models were analyzed using M plus, version 6 [ 42] by applying the maximum likelihood estimator with robust standard errors (MLR) and the chi-square test statistic, both of which are robust in regard to non-normality, to account for some of the variables displaying significant deviations from the normal distribution.

A phylogenetic tree was constructed with MEGA software, version 5.0, by applying the maximum-likelihood method and using the Kimura 2-parameter model, in which 1,000 replications were selected for bootstrapping (14 ) (Technical Appendix Figure 3).

Applying the likelihood ratio test by calculating un-weighted models yielded that our count data are over-dispersed.