estShannonf {simboot} | R Documentation |
Estimator for Shannon's index odered by a factorial variable f.
Description
Estimation function for Shannon's index. Internal use in
sbdiv
for methods rpht
, tsht
,
asht
. Sums up species counts in each columns for every
treatment group and estimates Shannon's index with bias correction on
the resulting vectors of summed up species counts.
\widehat{HBC}_{i} = \hat{H}_{i} + (S_i -1)/(2N_{i\bullet}) -
(1-\sum(1/\hat{p}_{i\bullet s}))/(12N_{i\bullet}^2) -
\sum((1/\hat{p}_{i\bullet s})-(1/(\hat{p}_{i\bullet
s}^2)))/(12N_{i\bullet}^3);
i=1,...,k;s=1,...,S;p_{i \bullet
s}=\frac{\sum_{j=1}^{n}x_{sj}}{N_{i\bullet}}
;
\hat{H}_i=(-1)\sum_{s=1}^{S}(\hat{p}_{i \bullet s} log(\hat{p}_{i \bullet s}))
N_{i\bullet}= \sum_{j=1}^{n}N_{ij}
Number of observed individuals in treatment i
.
Usage
estShannonf(X, f)
Arguments
X |
|
f |
Factor variable containing treatment groups. Must be of length: replicates times treatment groups. |
Value
estimate |
Estimated Shannon-Wiener index for treatment groups |
varest |
Estimated variance of Shannon-Wiener index for treatment groups |