In this example, sampling simulations showed that a systematic design generally required one less sample than a restricted-random design to achieve the same accuracy, while a simple-random design required substantially more samples.
Finite sample simulation evidence shows that the F-statistics maintain their size, and have power against the trend-break stationary alternative.
The calculated free energy barriers from the QM/MM (AM1/CHARMM22) umbrella sampling MD simulations show a lower barrier for phenyl attack in t-DPPO, compared with that for benzylic attack, in agreement with experiment.
For a finite sample size, the simulations show that, whatever the approach, naive or truncation-based, the parametric maximum likelihood estimator may be positively biased and that this bias and the corresponding mean squared error increase when the theoretical probability p for the time-to-onset to fall within the observable values interval decreases.
At low sampling rates, nonlinear simulations show better performance using the sampled-data H∞-controller than those of other controllers.
The results obtained show that on increasing holding pressure the molecular orientation inside the samples increases, and simulations show that this is due mainly to the increase of relaxation time caused by the higher pressures.
These simulations show that sampling around 100 mutants per animal is sufficient to achieve reliable mutation spectra with a power of 80%%, and therefore, pooling approximately 170 mutants per barcode (assuming a mutant recovery of ~60%%) should be more than enough for any sequencing application.
The power simulations show that a sample size of 1,000 should be enough to uncover two-way and three-way interactions if the size of the interaction effects are about the same as the main effects and the signal to noise ratio is not low.
Simulations show that these samples have a reduced overlap integral overall (as compared to samples #1 and #2) and an additional sudden drop around 300 to 400 kV/cm, suggesting a weaker Coulomb interaction and exciton ionization at these large fields (Δλ, however, is smaller as compared to the value measured for similar particles at cryogenic temperatures).
These simulations show that for this sample, a 10 mrad probe does not generate atomic resolution contrast.
