estShannonWY

Estimation function for Shannon's index. Internal use in
 <code>WYht</code>. 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.

 misc 

Provides estimation of simultaneous bootstrap and asymptotic confidence intervals for diversity indices, namely the Shannon and the Simpson index. Several pre--specified multiple comparison types are available to choose. Further user--defined contrast matrices are applicable. In addition, simboot estimates adjusted as well as unadjusted p--values for two of the three proposed bootstrap methods. Further simboot allows for comparing biological diversities of two or more groups while simultaneously testing a user-defined selection of Hill numbers of orders q, which are considered as appropriate and useful indices for measuring diversity.

Ralph Scherer

simboot

Simultaneous Inference for Diversity Indices

Philip Pallmann

estShannonWY function

<dl> <dt>x</dt>
<dd>Vector of $p$ numerical species counts.</dd></dl>

Arguments

Estimator for Shannon's index row wise. — estShannonWY

<dl>

 <dt>x</dt>
<dd>Vector of $p$ numerical species counts.</dd>

</dl>

estShannonWY: Estimator for Shannon's index row wise.

Description

Usage

Value

Arguments