Note that the cut-off points for the definition of experience guarantee samples of roughly the same size.
The motivation to take multiple acquisitions (T>1) is clearly the presence of noise, which is inherent in transmissions and also due to the stable or moving obstacles in the area of interest: intuitively, a redundant number of samples guarantees to obtain accurate localization with higher probability.
Using artificially prepared, spiked samples for estimating an optimal cutoff value guarantees that the assignment of samples to true positives and true negatives is correct.
When we analyze real expression data, the normality of the data distribution is not guaranteed, and the number of samples may not be sufficiently large to estimate the covariance matrices of gene sets accurately.
Despite skewness, excess zeros, multimodality and/or heavy tails, the samples should be big enough for the Central Limit Theorem to guarantee near-normality of sample means.
In our context, the penalty parameter C is chosen as 1.0 uniformly in all diagnoses instead of rescaled values for different groups of samples to guarantee comparable results for different data sets that have skewed or balanced label distributions.
This is done to guarantee that the samples are representative of the national populations of 15-year-old students (for details, see OECD 2012b).
Therefore our design could not guarantee that the samples were representative of the true fibrosis spectrum, or of the prevalence of different confounding factors.
If a hazardous organism is found it means something, but absence in a limited number of samples is no guarantee of safety of a whole production batch.
The researchers' proof of their theoretical result involved an argument about the number of samples necessary to guarantee that the correct M-multiple can be inferred.
The paper highlights the structural difference between online and offline sampling and provides rigorous bounds on the number of samples needed to guarantee chance constraint satisfaction.
