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Ninety-five perconfidencedence intervals and regions were calculated using the percentile approximation (DiCiccio and Efron 1996).
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The data were normalized using the percentile shift method to the 80th percentile.
90% bootstrap confidence intervals were computed using the percentile method.
We created 95% confidence limit intervals using the percentile bootstrap.
dRelative mRNA expression ratio of the respective marker / HPRT divided into groups using the 33% percentile; Low: 0 - 33% percentile; High: > 33% - 100% percentile.
The FMT data were reconstructed using the normalised Born approximation using the slab approximation [ 27].
The rate of treatment success and the corresponding 95% confidence interval was calculated using the normal approximation to the binomial distribution, applying a continuity correction: where P represents the observed proportion of treatment success, zα/2 is the 100(1 − α/2) percentile of the normal distribution, n represents the number of patients and α = 0·05.
The dipole approximation is developed using the approximation of a flat semi-infinite medium.
Extreme wet spells are defined using the 90th percentile of rainfall above the depth of wet day.
Exchange correlation was described using the generalized gradient approximation in the Perdew–Burke Ernzerhof implementation.
The exact numerical solution can then be graphically compared to the solution using the approximation.
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