estShannonWY {simboot} | R Documentation |
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 |
Value
Shannon-Wiener index with bias correction
[Package simboot version 0.2-8 Index]