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From the above comparison, we see that gravity data favors permeability of ~ 10−18 10−15 if the model assumption is correct.

This model assumption is that the rate of cavity growth is at pseudo-state at all time and that the chemical reactions occur only on the surface of the coal block (wall).

The import of the faithful model assumption is that if one were to plot the trajectory of the target system in an appropriate state space, the model trajectory in the same state space would monotonically become more like the system trajectory on some measure as the data is refined (I will ignore difficulties regarding appropriate measures for discerning similarity in trajectories; see Smith 2000).

Again, the import of the faithful model assumption is that if one were to plot the trajectory of the target system in an appropriate state space, the model trajectory in the same state space would monotonically become more like the system trajectory as the model is made more realistic.

Empirical results show that (1) score statistic and Wald-type statistic based on dependence model assumption outperform other statistics in terms of the type I error rates; (2) score confidence interval demonstrates reasonably good coverage property; (3) sample size formula via Wald-type statistic under dependence model assumption is rather accurate.

Nevertheless, it should also be valuable for virtual screening, because due to the large size of the screening data set, it is to be expected that the structural diversity, and thus the impact of an inapplicable model assumption, is greater than that for the structurally more focused QSAR experiments.

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Data distributions and Cox model assumption were checked before any statistical tests were carried out.

The appropriateness of the multiplicative allelic effects model assumption was tested using a likelihood ratio test.

Complying with model assumptions is required for model-based methods to result in reliable estimates.

Nevertheless the potential sensitivity of our results to model assumptions is a concern.

Support for model assumptions is confused with predictions.

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