simboot (version 0.2-0)

estShannonWY: Estimator for Shannon's index row wise.

Description

Estimation function for Shannon's index. Internal use in WYht. Calculates Shannon-Wiener index with bias correction $$\widehat{HBC}_{ij} = \hat{H}_{ij} + (S_{ij} -1)/(2N_{ij}) - (1-\sum_{s=1}^{S}(1/\hat{p}_{ijs}))/(12N_{ij}^2) - \sum_{s=1}^{S}((1/\hat{p}_{ijs})-(1/(\hat{p}_{ijs}^2)))/(12N_{ij}^3);$$

$$\hat{H}_{ij}=(-1)\sum_{s=1}^{S}(\hat{p}_{ijs} log(\hat{p}_{ijs}))$$

$i=1,...,k;j=1,...,n;s=1,...,S;$

$S_j =$ Number of observed species in replicate $j$;

$N_j=$ Number of observed individuals in replicate $j$

for every row in a $n \times p$ matrix.

Usage

estShannonWY(x)

Arguments

x

Vector of $p$ numerical species counts.

Value

• Shannon-Wiener index with bias correction