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Estimates of net efficiency as a function of fish length were obtained by sequentially fitting a nested hierarchy of statistical models to the efficiency and length data for each species and choosing the best model using likelihood ratio tests.
To assess the ability of the k-NN to account for the dependence and heteroscedasticity due to cluster structure, we computed the residuals from the LOCOCV, then we fitted a residual intercept model and compared with residual random intercept model using likelihood ratio test.
'Nested models' [36] were also examined and compared to the full model using likelihood ratio test (LRT) to identify the simplest model that explains the data.
To evaluate the significance of fixed and random effects, alternative models without the variable of interest were compared to the full model using likelihood ratio tests.
Backwards elimination of risk factors was used to simplify the model using likelihood ratio tests with p < 0·05 as the criterion for statistical significance.
Since it was not possible, in Stata 10.0, to compare a "naïve" logistic regression model with a hierarchical logistic regression model using likelihood ratio tests, we assessed the importance of allowing the outcome variables to vary across the countries by comparing the variance of the country-level intercepts with the standard error of these variances.
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We compare nested models using likelihood ratio tests, and non-nested models using the small sample Akaike Information Criterion (AICc) [28].
We compared models with Akaike's Information Criteria (AIC)[54], corrected for small sample bias (AICc)[55] with additional comparisons for nested models using likelihood ratio tests (LRT).
The additive model was compared to other models using likelihood ratio (LR) tests.
We used CODEML and tested two pairs of models using likelihood ratio tests.
We compared stratified to unstratified models using likelihood ratio tests (LRT).
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