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# Bootstrap

From mothur

Validate output by making calculations by hand

**Example Calculations**

***boot***

These files give the bootstrap estimate as described by Smith and Van Belle (5) but implemented for a single "quadrant".

<math>S_{Bootstrap} = S_{obs} + \sum_{i=1}^{S_{obs}} \left ( 1 - \frac {S_i}{N}\right )^N </math>

where,

N = The number of individuals sampled

<math>S_{i}</math> = The number of sequences in the ith OTU

<math>S_{obs}</math> = Observed number of species

For the Amazonian dataset at distance 0.03, <math>S_{Bootstrap}</math> =112.33 and there is not a simple expression for the 95% confidence interval.