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The third one follows from a multi-scaled approach with a numerical bridging between the full model near the boundary and a macroscopic model in the bulk.
Simulation results showed excellent agreement in predicting the transient stresses between the full model and the 2-modes reduced model with vast reduction in computational time, i.e. around 90%.
We ran a power calculation based on the R-square difference between the full model vs. the three genetic variants (MC4R, TMEM18, SH2B1) using Statistical Analysis System SASS) 9.1.3 for Windows (Cary, NC, USA).
However, even at the largest aperture and object height, the relative error between the full model and the paraxial model is less than 1% indicating that the first-order model can be accurately be used for these imaging situations.
The 11 coefficients with largest differences explain almost 90%% of total difference (2.54 versus 2.98 nT.yr −1 rms differences for the full model for B, with a correlation coefficient of 0.8 between the full model and that based on these 11 coefficients only).
The predictive power of each individual variable in the model was tested using ratio likelihood tests which computed a chi-square statistic based on the log likelihood difference between the full model and a reduced model that excluded that variable.
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Following the standard Aiken and West procedure [ 49], we conducted blocked multiple regressions and Chi-square tests to examine whether the difference in likelihood ratios between the full models including the interaction block (models -A2, -A3, -A4 and -B2, -B3, -B4 in Table 2) and the models without the interaction block (models -A1 and -B1 in Table 2) are statistically significant.
In the sample consisting of mothers with one child, the between-country variance in the full model is reduced to roughly 5%.
Most importantly, the percentage difference between imputation with the full model and the demographic model is 6.7%.
Our results show large benefits from adding information from relatives in the second model and further improvements by including additive genetic covariances between cycles in the full model.
However, by estimating the maximum likelihood, we can analyze the difference between results for the full model and results for a nested reduced model which drops one of the independent variables.
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