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Here's the bootstrap refinement of the normal asymptotic interval (Mills and Zandvakili, 1997; Dixon et al., 1987; Efron and Tibshirani, 1997) - where Diversity (div, g) is the Simpson Index calculated from the observed sample, k is the number bootstrap resamples, bs (g star) is the statistic of interest calculated from a bootstrap sample, SEb is the bootstrap estimate of standard error and t is a quantile of the Student t distribution.
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